DS Class 9 a.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "561f373e",
   "metadata": {},
   "source": [
    "# Scatter Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ead3038f",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c5680e25",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1f2ca208c10>]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0,10,30)\n",
    "y = np.sin(x)\n",
    "\n",
    "plt.plot(x,y, 'o', color = \"black\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "83ded000",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1f2ca317e50>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## 2nd method\n",
    "x = np.linspace(0,10,30)\n",
    "y = np.sin(x)\n",
    "\n",
    "plt.scatter(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "40abf6fd",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\USER\\AppData\\Local\\Temp/ipykernel_2672/1453310867.py:5: UserWarning: color is redundantly defined by the 'color' keyword argument and the fmt string \"-ok\" (-> color='k'). The keyword argument will take precedence.\n",
      "  plt.plot(x,y, '-ok' , color = \"black\")\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1f2ca471610>]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# scatter and line\n",
    "x = np.linspace(0,10,30)\n",
    "y = np.sin(x)\n",
    "\n",
    "plt.plot(x,y, '-ok' , color = \"black\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "40bc39fa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x1f2cc840fa0>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.random.randn(100)\n",
    "y = np.random.randn(100)\n",
    "colors = np.random.randn(100)\n",
    "sizes = 1000 * np.random.randn(100)\n",
    "\n",
    "plt.scatter(x, y, c=colors, s=sizes, alpha = 0.3)\n",
    "\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f824a14a",
   "metadata": {},
   "source": [
    "# Histogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "5df5e043",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([  7.,  23.,  94., 186., 239., 231., 146.,  50.,  19.,   5.]),\n",
       " array([-3.04919331, -2.41256733, -1.77594135, -1.13931537, -0.5026894 ,\n",
       "         0.13393658,  0.77056256,  1.40718854,  2.04381452,  2.6804405 ,\n",
       "         3.31706648]),\n",
       " <BarContainer object of 10 artists>)"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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w3QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = np.random.randn(1000)\n",
    "plt.hist(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "a8b57354",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([ 2.,  8., 13., 14., 14., 22., 23., 35., 37., 51., 73., 62., 65.,\n",
       "        83., 72., 68., 69., 65., 43., 40., 39., 32., 19., 21., 11.,  8.,\n",
       "         6.,  3.,  1.,  1.]),\n",
       " array([-2.59902907e+00, -2.41318320e+00, -2.22733733e+00, -2.04149146e+00,\n",
       "        -1.85564559e+00, -1.66979973e+00, -1.48395386e+00, -1.29810799e+00,\n",
       "        -1.11226212e+00, -9.26416247e-01, -7.40570378e-01, -5.54724508e-01,\n",
       "        -3.68878639e-01, -1.83032769e-01,  2.81310018e-03,  1.88658970e-01,\n",
       "         3.74504839e-01,  5.60350709e-01,  7.46196578e-01,  9.32042448e-01,\n",
       "         1.11788832e+00,  1.30373419e+00,  1.48958006e+00,  1.67542593e+00,\n",
       "         1.86127180e+00,  2.04711766e+00,  2.23296353e+00,  2.41880940e+00,\n",
       "         2.60465527e+00,  2.79050114e+00,  2.97634701e+00]),\n",
       " [<matplotlib.patches.Polygon at 0x1f2ccc388e0>])"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = np.random.randn(1000)\n",
    "plt.hist(data, bins = 30,alpha = 0.5, histtype = \"stepfilled\", color = 'steelblue')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "cba51d75",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1f2ccc21ac0>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0,10,1000)\n",
    "\n",
    "plt.plot(x, np.sin(x), '-b', label = \"Sine Graph\")\n",
    "plt.plot(x, np.cos(x), '--r', label = \"Cosine Graph\")\n",
    "\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "309eb8d7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1f2ccf4b100>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## To change the position of the legend: (best, upper/lower left, upper/lower right, right, center, center left/right,\n",
    "## lower/upper center)\n",
    "x = np.linspace(0,10,1000)\n",
    "\n",
    "plt.plot(x, np.sin(x), '-b', label = \"Sine Graph\")\n",
    "plt.plot(x, np.cos(x), '--r', label = \"Cosine Graph\")\n",
    "\n",
    "plt.legend(loc = \"best\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "4f64cdfb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1f2ccfc82b0>"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## If we waant to write legend in columns:\n",
    "plt.plot(x, np.sin(x), '-b', label = \"Sine Graph\")\n",
    "plt.plot(x, np.cos(x), '--r', label = \"Cosine Graph\")\n",
    "\n",
    "plt.legend(loc = \"best\", ncol = 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "283f7fe2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## 2D Plot\n",
    "x,y = np.random.multivariate_normal([0,0],[[1,1],[1,2]],10000).T\n",
    "\n",
    "plt.hist2d(x,y,bins = 20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "e0c7d337",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## To add colours\n",
    "x,y = np.random.multivariate_normal([0,0],[[1,1],[1,2]],10000).T\n",
    "\n",
    "plt.hist2d(x,y,bins = 20, cmap = \"Blues\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c5226f5d",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
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