machine_learning_skyjo5.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "b712fe38",
   "metadata": {},
   "outputs": [],
   "source": [
    "#should suppress warnings\n",
    "def warn(*args, **kwargs):\n",
    "    pass\n",
    "import warnings\n",
    "warnings.warn = warn\n",
    "\n",
    "import numpy as np\n",
    "import random as random\n",
    "import scipy\n",
    "#using simpleguitk for display, is not needed for computer game\n",
    "import simpleguitk as simplegui\n",
    "import time\n",
    "#new ones\n",
    "import pandas as pd\n",
    "from xgboost import XGBRegressor\n",
    "import os\n",
    "#skyjo game classes and functions\n",
    "from skyjo_functions4 import *\n",
    "#own functions for machine learning\n",
    "from ml_functions2 import *\n",
    "#for plotting \n",
    "from matplotlib import pyplot as plt\n",
    "from matplotlib.pyplot import figure"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1809acff",
   "metadata": {},
   "source": [
    "The different computer levels against each other. Testing the nwest level 5, first against the random level 0. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "091b2309",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
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     ]
    },
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     "text": [
      "running case 971\n",
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     ]
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      "running case 1428\n",
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     ]
    },
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     "text": [
      "running case 1884\n",
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      "running case 2337\n",
      "running case 2338\n",
      "running case 2339\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "running case 2340\n",
      "running case 2341\n",
      "running case 2342\n",
      "running case 2343\n",
      "running case 2344\n",
      "running case 2345\n",
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      "running case 2378\n",
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      "running case 2380\n",
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     ]
    },
    {
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     "text": [
      "running case 2796\n",
      "running case 2797\n",
      "running case 2798\n",
      "running case 2799\n",
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      "running case 2972\n",
      "running case 2973\n",
      "running case 2974\n",
      "running case 2975\n",
      "running case 2976\n",
      "running case 2977\n",
      "running case 2978\n",
      "running case 2979\n",
      "running case 2980\n",
      "running case 2981\n",
      "running case 2982\n",
      "running case 2983\n",
      "running case 2984\n",
      "running case 2985\n",
      "running case 2986\n",
      "running case 2987\n",
      "running case 2988\n",
      "running case 2989\n",
      "running case 2990\n",
      "running case 2991\n",
      "running case 2992\n",
      "running case 2993\n",
      "running case 2994\n",
      "running case 2995\n",
      "running case 2996\n",
      "running case 2997\n",
      "running case 2998\n",
      "running case 2999\n",
      "running time was 4676.515245914459\n",
      "[[ 0.000e+00  3.100e+01  3.000e+00 ...  1.000e+00  0.000e+00  0.000e+00]\n",
      " [ 1.000e+00  1.400e+01  4.000e+01 ...  0.000e+00  0.000e+00  0.000e+00]\n",
      " [ 2.000e+00  3.000e+01  2.200e+01 ...  1.000e+00  0.000e+00  0.000e+00]\n",
      " ...\n",
      " [ 2.997e+03  2.100e+01  9.000e+00 ...  1.000e+00  1.000e+00  0.000e+00]\n",
      " [ 2.998e+03 -2.000e+00  3.900e+01 ...  0.000e+00  1.000e+00  1.000e+00]\n",
      " [ 2.999e+03  1.200e+01  5.400e+01 ...  0.000e+00  0.000e+00  1.000e+00]]\n"
     ]
    }
   ],
   "source": [
    "#5 against 1 takes forever \n",
    "\n",
    "names=('alpha','beta')\n",
    "nature=('computer','computer')\n",
    "levels=(6,2)\n",
    "start_time=time.time()\n",
    "nn=int(3000)\n",
    "all_scores=np.zeros((7,nn))\n",
    "for i in range(nn):\n",
    "    print(f\"running case {i}\")\n",
    "    scores,turns,last_player,output=skyjo_round(names,nature,levels,0,True,True,True)\n",
    "    all_scores[0,i]=i\n",
    "    all_scores[1:3,i]=scores\n",
    "    all_scores[3,i]=turns\n",
    "    all_scores[4,i]=np.argmin(scores)\n",
    "    all_scores[5,i]=output[0,0]\n",
    "    all_scores[6,i]=output[0,output.shape[1]-1]    \n",
    "stop_time=time.time()\n",
    "print(f\"running time was {stop_time-start_time}\")\n",
    "print(all_scores.T)\n",
    "np.savetxt(\"level6_level2_3000_0.txt\",all_scores)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "e28dbaf5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "level 5 gainst level 0\n",
      "level 5 won 995 times of 1000 rounds\n",
      "the level 5 average is 15.078 points\n",
      "the level 0 average is 123.582 points\n",
      "the level 5 average adventage is  108.504 points\n",
      "level 5 wins to 99.5 %\n",
      "level 5 average adventage 109.113 points\n",
      "level 0 average adventage 12.6 points\n"
     ]
    }
   ],
   "source": [
    "all_scores=np.loadtxt(\"level5_level0_1000_0.txt\")\n",
    "deltalevel5=0\n",
    "deltalevel0=0\n",
    "for i in range(all_scores.shape[1]):\n",
    "    if all_scores[1,i]<all_scores[2,i]:\n",
    "        #to calculate by how much a  human wins in average \n",
    "        deltalevel5+=(all_scores[2,i]-all_scores[1,i])\n",
    "    else:\n",
    "        deltalevel0+=(all_scores[1,i]-all_scores[2,i])\n",
    "print(\"level 5 gainst level 0\")\n",
    "print(f\"level 5 won {int(1000-sum(all_scores[4]))} times of {all_scores.shape[1]} rounds\")\n",
    "print(f\"the level 5 average is {round(np.mean(all_scores[1]),3)} points\")\n",
    "print(f\"the level 0 average is {round(np.mean(all_scores[2]),3)} points\")\n",
    "print(f\"the level 5 average adventage is  {round(np.mean(all_scores[2]-all_scores[1]),3)} points\")\n",
    "print(f\"level 5 wins to {round(np.mean(100-all_scores[4]*100),1)} %\")\n",
    "print(f\"level 5 average adventage {round(deltalevel5/(1000-sum(all_scores[4])),3)} points\")\n",
    "print(f\"level 0 average adventage {round(deltalevel0/(sum(all_scores[4])),3)} points\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c45acdf6",
   "metadata": {},
   "source": [
    "Level 5 performs very well against level 0. That is expected since it is trained on it. Thus it mainly tested that there was no coding mistake. \n",
    "\n",
    "Now comparing it aginst the xgboost model tarine don the same original data but without feature engering. \n",
    "To both noise is added because when they are running against it each without noise it frequently gets into an inifite loop. \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "78ebdc86",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "to 46.08 % finishes level 2\n",
      "level 6 gainst level 2\n",
      "level 6 won 2676 times of 5000 rounds\n",
      "the level 6 average is 19.235 points\n",
      "the level 2 average is 23.177 points\n",
      "the level 6 average adventage is  3.943 points\n",
      "level 6 wins to 53.5 %\n",
      "level 6 average adventage 20.796 points\n",
      "level 2 average adventage 15.464 points\n"
     ]
    }
   ],
   "source": [
    "all_scores1=np.loadtxt(\"level6_level2_1000_0.txt\")\n",
    "all_scores2=np.loadtxt(\"level6_level2_1000_1.txt\")\n",
    "all_scores3=np.loadtxt(\"level6_level2_3000_0.txt\")\n",
    "all_scores=np.zeros((7,5000))\n",
    "all_scores[:,0:1000]=all_scores1\n",
    "all_scores[:,1000:2000]=all_scores2\n",
    "all_scores[:,2000:5000]=all_scores3\n",
    "print(f\"to {np.round(np.mean(all_scores[6])*100,3)} % finishes level 2\")\n",
    "deltalevel6=0\n",
    "deltalevel2=0\n",
    "for i in range(all_scores.shape[1]):\n",
    "    if all_scores[1,i]<all_scores[2,i]:\n",
    "        #to calculate by how much a  human wins in average \n",
    "        deltalevel6+=(all_scores[2,i]-all_scores[1,i])\n",
    "    else:\n",
    "        deltalevel2+=(all_scores[1,i]-all_scores[2,i])\n",
    "print(\"level 6 gainst level 2\")\n",
    "print(f\"level 6 won {int(all_scores.shape[1]-sum(all_scores[4]))} times of {all_scores.shape[1]} rounds\")\n",
    "print(f\"the level 6 average is {round(np.mean(all_scores[1]),3)} points\")\n",
    "print(f\"the level 2 average is {round(np.mean(all_scores[2]),3)} points\")\n",
    "print(f\"the level 6 average adventage is  {round(np.mean(all_scores[2]-all_scores[1]),3)} points\")\n",
    "print(f\"level 6 wins to {round(np.mean(100-all_scores[4]*100),1)} %\")\n",
    "print(f\"level 6 average adventage {round(deltalevel6/(all_scores.shape[1]-sum(all_scores[4])),3)} points\")\n",
    "print(f\"level 2 average adventage {round(deltalevel2/(sum(all_scores[4])),3)} points\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ae398c46",
   "metadata": {},
   "source": [
    "Level 6 is better, now likely robust against noise, but even if it is better it is a small not so relevant adventage.  "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "58c7d5a1",
   "metadata": {},
   "source": [
    "Slowly playing against human, but seems that there is likely at most a small advantage. \n",
    "\n",
    "Now level 7, which is linear regression, thsu should be able to port to codescultor. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "d452ce79",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "running case 0\n",
      "running case 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n"
     ]
    }
   ],
   "source": [
    "#warning does not cause problems\n",
    "\n",
    "names=('alpha','beta')\n",
    "nature=('computer','computer')\n",
    "levels=(7,0)\n",
    "start_time=time.time()\n",
    "nn=int(2)\n",
    "all_scores=np.zeros((7,nn))\n",
    "for i in range(nn):\n",
    "    print(f\"running case {i}\")\n",
    "    scores,turns,last_player,output=skyjo_round(names,nature,levels,0,True,True,True)\n",
    "    all_scores[0,i]=i\n",
    "    all_scores[1:3,i]=scores\n",
    "    all_scores[3,i]=turns\n",
    "    all_scores[4,i]=np.argmin(scores)\n",
    "    all_scores[5,i]=output[0,0]\n",
    "    all_scores[6,i]=output[0,output.shape[1]-1]    \n",
    "stop_time=time.time()\n",
    "np.savetxt(\"level\"+str(levels[0])+\"_level\"+str(levels[1])+\"_\"+str(nn)+\"_0.txt\",all_scores)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "12e98c30",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "running time was 168.32014083862305\n",
      "[[  0.  24. 172. ...   0.   1.   0.]\n",
      " [  1.  31.  84. ...   0.   1.   1.]\n",
      " [  2.   9. 198. ...   0.   1.   0.]\n",
      " ...\n",
      " [997.  55. 132. ...   0.   1.   0.]\n",
      " [998.  26. 166. ...   0.   0.   0.]\n",
      " [999.  35. 150. ...   0.   1.   0.]]\n"
     ]
    }
   ],
   "source": [
    "#is faster than xgboost\n",
    "print(f\"running time was {stop_time-start_time}\")\n",
    "print(all_scores.T)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "a747e254",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "level 7 gainst level 0\n",
      "level 7 won 972 times of 1000 rounds\n",
      "the level 7 average is 31.182 points\n",
      "the level 0 average is 119.315 points\n",
      "the level 7 average adventage is  88.133 points\n",
      "level 7 wins to 97.2 %\n",
      "level 7 average adventage 91.0 points\n",
      "level 0 average adventage 11.393 points\n"
     ]
    }
   ],
   "source": [
    "all_scores=np.loadtxt(\"level7_level0_1000_0.txt\")\n",
    "deltalevel7=0\n",
    "deltalevel0=0\n",
    "for i in range(all_scores.shape[1]):\n",
    "    if all_scores[1,i]<all_scores[2,i]:\n",
    "        #to calculate by how much a  human wins in average \n",
    "        deltalevel7+=(all_scores[2,i]-all_scores[1,i])\n",
    "    else:\n",
    "        deltalevel0+=(all_scores[1,i]-all_scores[2,i])\n",
    "print(\"level 7 gainst level 0\")\n",
    "print(f\"level 7 won {int(1000-sum(all_scores[4]))} times of {all_scores.shape[1]} rounds\")\n",
    "print(f\"the level 7 average is {round(np.mean(all_scores[1]),3)} points\")\n",
    "print(f\"the level 0 average is {round(np.mean(all_scores[2]),3)} points\")\n",
    "print(f\"the level 7 average adventage is  {round(np.mean(all_scores[2]-all_scores[1]),3)} points\")\n",
    "print(f\"level 7 wins to {round(np.mean(100-all_scores[4]*100),1)} %\")\n",
    "print(f\"level 7 average adventage {round(deltalevel7/(1000-sum(all_scores[4])),3)} points\")\n",
    "print(f\"level 0 average adventage {round(deltalevel0/(sum(all_scores[4])),3)} points\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ff6346df",
   "metadata": {},
   "source": [
    "Wins to 97.2%, seems a little smaller than for other improved levels, also the point average is larger. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "561e80ef",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "running case 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "running case 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n",
      "/home/tobias/anaconda3/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n",
      "  warnings.warn(\n"
     ]
    }
   ],
   "source": [
    "names=('alpha','beta')\n",
    "nature=('computer','computer')\n",
    "levels=(8,2)\n",
    "start_time=time.time()\n",
    "nn=int(2)\n",
    "all_scores=np.zeros((7,nn))\n",
    "for i in range(nn):\n",
    "    print(f\"running case {i}\")\n",
    "    scores,turns,last_player,output=skyjo_round(names,nature,levels,0,True,True,True)\n",
    "    all_scores[0,i]=i\n",
    "    all_scores[1:3,i]=scores\n",
    "    all_scores[3,i]=turns\n",
    "    all_scores[4,i]=np.argmin(scores)\n",
    "    all_scores[5,i]=output[0,0]\n",
    "    all_scores[6,i]=output[0,output.shape[1]-1]    \n",
    "stop_time=time.time()\n",
    "np.savetxt(\"level\"+str(levels[0])+\"_level\"+str(levels[1])+\"_\"+str(nn)+\"_0.txt\",all_scores)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "2401f162",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "level 8 gainst level 2\n",
      "level 8 won 672 times of 1000 rounds\n",
      "the level 8 average is 29.277 points\n",
      "the level 2 average is 29.563 points\n",
      "the level 8 average adventage is  0.286 points\n",
      "level 8 wins to 67.2 %\n",
      "level 8 average adventage 17.463 points\n",
      "level 2 average adventage 34.905 points\n"
     ]
    }
   ],
   "source": [
    "all_scores=np.loadtxt(\"level8_level2_1000_0.txt\")\n",
    "deltalevel8=0\n",
    "deltalevel2=0\n",
    "for i in range(all_scores.shape[1]):\n",
    "    if all_scores[1,i]<all_scores[2,i]:\n",
    "        #to calculate by how much a  human wins in average \n",
    "        deltalevel8+=(all_scores[2,i]-all_scores[1,i])\n",
    "    else:\n",
    "        deltalevel2+=(all_scores[1,i]-all_scores[2,i])\n",
    "print(\"level 8 gainst level 2\")\n",
    "print(f\"level 8 won {int(1000-sum(all_scores[4]))} times of {all_scores.shape[1]} rounds\")\n",
    "print(f\"the level 8 average is {round(np.mean(all_scores[1]),3)} points\")\n",
    "print(f\"the level 2 average is {round(np.mean(all_scores[2]),3)} points\")\n",
    "print(f\"the level 8 average adventage is  {round(np.mean(all_scores[2]-all_scores[1]),3)} points\")\n",
    "print(f\"level 8 wins to {round(np.mean(100-all_scores[4]*100),1)} %\")\n",
    "print(f\"level 8 average adventage {round(deltalevel8/(1000-sum(all_scores[4])),3)} points\")\n",
    "print(f\"level 2 average adventage {round(deltalevel2/(sum(all_scores[4])),3)} points\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d25076a1",
   "metadata": {},
   "source": [
    "Interesting, level 8 wins more often, but the average point is the same. Mean it finishes faster as it is also observed. To be tested how it does against humans. \n",
    "\n",
    "Maybe more feature combinations should be used even when they do not directly impact the choice, the fit can be betetr when they are included."
   ]
  }
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