Vander_Plus_4_Matplotlib_03.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "086bc2ce",
   "metadata": {},
   "source": [
    "# Простые диаграммы рессеяния\n",
    "- в них точки не соединяются линиями"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "82583d84",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('seaborn-whitegrid')\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "83262fc9",
   "metadata": {},
   "source": [
    "## Построение диаграмм рассеяния с попощью ф-ии ``plt.plot``"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "920b8544",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "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": 3,
   "id": "e3d2ec95",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 10, 30)\n",
    "y = np.sin(x)\n",
    "\n",
    "plt.plot(x, y, color='black');\n",
    "# без указания маркера, он соединит точки"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a89a201c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# plt.plot?\n",
    "\n",
    "# **Markers**\n",
    "\n",
    "# =============   ===============================\n",
    "# character       description\n",
    "# =============   ===============================\n",
    "# ``'.'``         point marker\n",
    "# ``','``         pixel marker\n",
    "# ``'o'``         circle marker\n",
    "# ``'v'``         triangle_down marker\n",
    "# ``'^'``         triangle_up marker\n",
    "# ``'<'``         triangle_left marker\n",
    "# ``'>'``         triangle_right marker\n",
    "# ``'1'``         tri_down marker\n",
    "# ``'2'``         tri_up marker\n",
    "# ``'3'``         tri_left marker\n",
    "# ``'4'``         tri_right marker\n",
    "# ``'8'``         octagon marker\n",
    "# ``'s'``         square marker\n",
    "# ``'p'``         pentagon marker\n",
    "# ``'P'``         plus (filled) marker\n",
    "# ``'*'``         star marker\n",
    "# ``'h'``         hexagon1 marker\n",
    "# ``'H'``         hexagon2 marker\n",
    "# ``'+'``         plus marker\n",
    "# ``'x'``         x marker\n",
    "# ``'X'``         x (filled) marker\n",
    "# ``'D'``         diamond marker\n",
    "# ``'d'``         thin_diamond marker\n",
    "# ``'|'``         vline marker\n",
    "# ``'_'``         hline marker\n",
    "# =============   ==============================="
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "7e0e8096",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y, '+', color='black');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "c4d6388a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rng = np.random.RandomState(0)\n",
    "for marker in ['o', '.', ',', 'x', '+', 'v', '^', '<', '>', 's', 'd']:\n",
    "    plt.plot(rng.rand(5), rng.rand(5), marker,\n",
    "             label=\"marker='{0}'\".format(marker))\n",
    "plt.legend(numpoints=1)\n",
    "plt.xlim(0, 1.8);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "d2176c05",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2588a10ba00>]"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y, '-ok') # линия (-), маркер круга (о), черный цвет(k)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "50c3313d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2588a59a670>]"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y, '-o')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "377f90b1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y, '-p', color='gray',\n",
    "         markersize=15, linewidth=4,\n",
    "         markerfacecolor='white',\n",
    "         markeredgecolor='gray',\n",
    "         markeredgewidth=2)\n",
    "plt.ylim(-1.2, 1.2);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dcd15714",
   "metadata": {},
   "source": [
    "## Построение диаграмм рассеяния с помощью ф-ии ``plt.scatter``\n",
    "- во многом напоминающей ф-ию ``plt.plot``"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "a5944695",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x2588a480fd0>"
      ]
     },
     "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": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "0d64c6d7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x2588a5cd5b0>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x, y, marker='o')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0775b61a",
   "metadata": {},
   "source": [
    "Параметр ``alpha`` задает уровень прозрачности"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "b61b6ace",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rng = np.random.RandomState(0)\n",
    "x = rng.randn(100)\n",
    "y = rng.randn(100)\n",
    "colors = rng.rand(100)\n",
    "sizes = 1000 * rng.rand(100)\n",
    "\n",
    "plt.scatter(x, y, c=colors, s=sizes, alpha=0.3,\n",
    "            cmap='viridis')\n",
    "plt.colorbar();  # отобразить цветовую шкалу"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "39c6eaae",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rng = np.random.RandomState(0)\n",
    "x = rng.randn(100)\n",
    "y = rng.randn(100)\n",
    "colors = rng.rand(100)\n",
    "sizes = 1000 * rng.rand(100)\n",
    "\n",
    "plt.scatter(x, y, c=colors, s=sizes, alpha=0.3,\n",
    "            )\n",
    "plt.colorbar();  # отобразить цветовую шкалу"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "38e780a1",
   "metadata": {},
   "outputs": [],
   "source": [
    "# plt.colormaps?\n",
    "# ========   ===================================================\n",
    "#   Colormap    Description\n",
    "#   =========   ===================================================\n",
    "#   inferno     perceptually uniform shades of black-red-yellow\n",
    "#   magma       perceptually uniform shades of black-red-white\n",
    "#   plasma      perceptually uniform shades of blue-red-yellow\n",
    "#   viridis     perceptually uniform shades of blue-green-yellow\n",
    "#   =========   ===================================================\n",
    "# The following colormaps are based on the `ColorBrewer\n",
    "# <https://colorbrewer2.org>`_ color specifications and designs developed by\n",
    "# Cynthia Brewer:\n",
    "\n",
    "# ColorBrewer Diverging (luminance is highest at the midpoint, and\n",
    "# decreases towards differently-colored endpoints):\n",
    "\n",
    "#   ========  ===================================\n",
    "#   Colormap  Description\n",
    "#   ========  ===================================\n",
    "#   BrBG      brown, white, blue-green\n",
    "#   PiYG      pink, white, yellow-green\n",
    "#   PRGn      purple, white, green\n",
    "#   PuOr      orange, white, purple\n",
    "#   RdBu      red, white, blue\n",
    "#   RdGy      red, white, gray\n",
    "#   RdYlBu    red, yellow, blue\n",
    "#   RdYlGn    red, yellow, green\n",
    "#   Spectral  red, orange, yellow, green, blue\n",
    "#   ========  ===================================\n",
    "\n",
    "# ColorBrewer Sequential (luminance decreases monotonically):\n",
    "\n",
    "#   ========  ====================================\n",
    "#   Colormap  Description\n",
    "#   ========  ====================================\n",
    "#   Blues     white to dark blue\n",
    "#   BuGn      white, light blue, dark green\n",
    "#   BuPu      white, light blue, dark purple\n",
    "#   GnBu      white, light green, dark blue\n",
    "#   Greens    white to dark green\n",
    "#   Greys     white to black (not linear)\n",
    "#   Oranges   white, orange, dark brown\n",
    "#   OrRd      white, orange, dark red\n",
    "#   PuBu      white, light purple, dark blue\n",
    "#   PuBuGn    white, light purple, dark green\n",
    "#   PuRd      white, light purple, dark red\n",
    "#   Purples   white to dark purple\n",
    "#   RdPu      white, pink, dark purple\n",
    "#   Reds      white to dark red\n",
    "#   YlGn      light yellow, dark green\n",
    "#   YlGnBu    light yellow, light green, dark blue\n",
    "#   YlOrBr    light yellow, orange, dark brown\n",
    "#   YlOrRd    light yellow, orange, dark red\n",
    "#   ========  ====================================\n",
    "\n",
    "# ColorBrewer Qualitative:\n",
    "\n",
    "# (For plotting nominal data, `.ListedColormap` is used,\n",
    "# not `.LinearSegmentedColormap`.  Different sets of colors are\n",
    "# recommended for different numbers of categories.)\n",
    "\n",
    "# * Accent\n",
    "# * Dark2\n",
    "# * Paired\n",
    "# * Pastel1\n",
    "# * Pastel2\n",
    "# * Set1\n",
    "# * Set2\n",
    "# * Set3\n",
    "\n",
    "# A set of colormaps derived from those of the same name provided\n",
    "# with Matlab are also included:\n",
    "\n",
    "#   =========   =======================================================\n",
    "#   Colormap    Description\n",
    "#   =========   =======================================================\n",
    "#   autumn      sequential linearly-increasing shades of red-orange-yellow\n",
    "#   bone        sequential increasing black-white colormap with\n",
    "#               a tinge of blue, to emulate X-ray film\n",
    "#   cool        linearly-decreasing shades of cyan-magenta\n",
    "#   copper      sequential increasing shades of black-copper\n",
    "#   flag        repetitive red-white-blue-black pattern (not cyclic at\n",
    "#               endpoints)\n",
    "#   gray        sequential linearly-increasing black-to-white\n",
    "#               grayscale\n",
    "#   hot         sequential black-red-yellow-white, to emulate blackbody\n",
    "#               radiation from an object at increasing temperatures\n",
    "#   jet         a spectral map with dark endpoints, blue-cyan-yellow-red;\n",
    "#               based on a fluid-jet simulation by NCSA [#]_\n",
    "#   pink        sequential increasing pastel black-pink-white, meant\n",
    "#               for sepia tone colorization of photographs\n",
    "#   prism       repetitive red-yellow-green-blue-purple-...-green pattern\n",
    "#               (not cyclic at endpoints)\n",
    "#   spring      linearly-increasing shades of magenta-yellow\n",
    "#   summer      sequential linearly-increasing shades of green-yellow\n",
    "#   winter      linearly-increasing shades of blue-green\n",
    "#   =========   =======================================================\n",
    "\n",
    "# A set of palettes from the `Yorick scientific visualisation\n",
    "# package <https://dhmunro.github.io/yorick-doc/>`_, an evolution of\n",
    "# the GIST package, both by David H. Munro are included:\n",
    "\n",
    "#   ============  =======================================================\n",
    "#   Colormap      Description\n",
    "#   ============  =======================================================\n",
    "#   gist_earth    mapmaker's colors from dark blue deep ocean to green\n",
    "#                 lowlands to brown highlands to white mountains\n",
    "#   gist_heat     sequential increasing black-red-orange-white, to emulate\n",
    "#                 blackbody radiation from an iron bar as it grows hotter\n",
    "#   gist_ncar     pseudo-spectral black-blue-green-yellow-red-purple-white\n",
    "#                 colormap from National Center for Atmospheric\n",
    "#                 Research [#]_\n",
    "#   gist_rainbow  runs through the colors in spectral order from red to\n",
    "#                 violet at full saturation (like *hsv* but not cyclic)\n",
    "#   gist_stern    \"Stern special\" color table from Interactive Data\n",
    "#                 Language software\n",
    "#   ============  =======================================================\n",
    "\n",
    "# A set of cyclic colormaps:\n",
    "\n",
    "#   ================  =================================================\n",
    "#   Colormap          Description\n",
    "#   ================  =================================================\n",
    "#   hsv               red-yellow-green-cyan-blue-magenta-red, formed by\n",
    "#                     changing the hue component in the HSV color space\n",
    "#   twilight          perceptually uniform shades of\n",
    "#                     white-blue-black-red-white\n",
    "#   twilight_shifted  perceptually uniform shades of\n",
    "#                     black-blue-white-red-black\n",
    "#   ================  =================================================\n",
    "\n",
    "# Other miscellaneous schemes:\n",
    "\n",
    "#   ============= =======================================================\n",
    "#   Colormap      Description\n",
    "#   ============= =======================================================\n",
    "#   afmhot        sequential black-orange-yellow-white blackbody\n",
    "#                 spectrum, commonly used in atomic force microscopy\n",
    "#   brg           blue-red-green\n",
    "#   bwr           diverging blue-white-red\n",
    "#   coolwarm      diverging blue-gray-red, meant to avoid issues with 3D\n",
    "#                 shading, color blindness, and ordering of colors [#]_\n",
    "#   CMRmap        \"Default colormaps on color images often reproduce to\n",
    "#                 confusing grayscale images. The proposed colormap\n",
    "#                 maintains an aesthetically pleasing color image that\n",
    "#                 automatically reproduces to a monotonic grayscale with\n",
    "#                 discrete, quantifiable saturation levels.\" [#]_\n",
    "#   cubehelix     Unlike most other color schemes cubehelix was designed\n",
    "#                 by D.A. Green to be monotonically increasing in terms\n",
    "#                 of perceived brightness. Also, when printed on a black\n",
    "#                 and white postscript printer, the scheme results in a\n",
    "#                 greyscale with monotonically increasing brightness.\n",
    "#                 This color scheme is named cubehelix because the (r, g, b)\n",
    "#                 values produced can be visualised as a squashed helix\n",
    "#                 around the diagonal in the (r, g, b) color cube.\n",
    "#   gnuplot       gnuplot's traditional pm3d scheme\n",
    "#                 (black-blue-red-yellow)\n",
    "#   gnuplot2      sequential color printable as gray\n",
    "#                 (black-blue-violet-yellow-white)\n",
    "#   ocean         green-blue-white\n",
    "#   rainbow       spectral purple-blue-green-yellow-orange-red colormap\n",
    "#                 with diverging luminance\n",
    "#   seismic       diverging blue-white-red\n",
    "#   nipy_spectral black-purple-blue-green-yellow-red-white spectrum,\n",
    "#                 originally from the Neuroimaging in Python project\n",
    "#   terrain       mapmaker's colors, blue-green-yellow-brown-white,\n",
    "#                 originally from IGOR Pro\n",
    "#   turbo         Spectral map (purple-blue-green-yellow-orange-red) with\n",
    "#                 a bright center and darker endpoints. A smoother\n",
    "#                 alternative to jet.\n",
    "#   ============= =======================================================\n",
    "\n",
    "# The following colormaps are redundant and may be removed in future\n",
    "# versions.  It's recommended to use the names in the descriptions\n",
    "# instead, which produce identical output:\n",
    "\n",
    "#   =========  =======================================================\n",
    "#   Colormap   Description\n",
    "#   =========  =======================================================\n",
    "#   gist_gray  identical to *gray*\n",
    "#   gist_yarg  identical to *gray_r*\n",
    "#   binary     identical to *gray_r*\n",
    "#   =========  ======================================================="
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "40e691a8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rng = np.random.RandomState(0)\n",
    "x = rng.randn(100)\n",
    "y = rng.randn(100)\n",
    "colors = rng.rand(100)\n",
    "sizes = 1000 * rng.rand(100)\n",
    "\n",
    "plt.scatter(x, y, c=colors, s=sizes, alpha=0.3,\n",
    "            cmap='inferno')\n",
    "plt.colorbar();  # отобразить цветовую шкалу"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "ad00ccd7",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_iris"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "85c21075",
   "metadata": {},
   "outputs": [],
   "source": [
    "iris = load_iris(return_X_y=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "63058688",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([[5.1, 3.5, 1.4, 0.2],\n",
       "        [4.9, 3. , 1.4, 0.2],\n",
       "        [4.7, 3.2, 1.3, 0.2],\n",
       "        [4.6, 3.1, 1.5, 0.2],\n",
       "        [5. , 3.6, 1.4, 0.2],\n",
       "        [5.4, 3.9, 1.7, 0.4],\n",
       "        [4.6, 3.4, 1.4, 0.3],\n",
       "        [5. , 3.4, 1.5, 0.2],\n",
       "        [4.4, 2.9, 1.4, 0.2],\n",
       "        [4.9, 3.1, 1.5, 0.1],\n",
       "        [5.4, 3.7, 1.5, 0.2],\n",
       "        [4.8, 3.4, 1.6, 0.2],\n",
       "        [4.8, 3. , 1.4, 0.1],\n",
       "        [4.3, 3. , 1.1, 0.1],\n",
       "        [5.8, 4. , 1.2, 0.2],\n",
       "        [5.7, 4.4, 1.5, 0.4],\n",
       "        [5.4, 3.9, 1.3, 0.4],\n",
       "        [5.1, 3.5, 1.4, 0.3],\n",
       "        [5.7, 3.8, 1.7, 0.3],\n",
       "        [5.1, 3.8, 1.5, 0.3],\n",
       "        [5.4, 3.4, 1.7, 0.2],\n",
       "        [5.1, 3.7, 1.5, 0.4],\n",
       "        [4.6, 3.6, 1. , 0.2],\n",
       "        [5.1, 3.3, 1.7, 0.5],\n",
       "        [4.8, 3.4, 1.9, 0.2],\n",
       "        [5. , 3. , 1.6, 0.2],\n",
       "        [5. , 3.4, 1.6, 0.4],\n",
       "        [5.2, 3.5, 1.5, 0.2],\n",
       "        [5.2, 3.4, 1.4, 0.2],\n",
       "        [4.7, 3.2, 1.6, 0.2],\n",
       "        [4.8, 3.1, 1.6, 0.2],\n",
       "        [5.4, 3.4, 1.5, 0.4],\n",
       "        [5.2, 4.1, 1.5, 0.1],\n",
       "        [5.5, 4.2, 1.4, 0.2],\n",
       "        [4.9, 3.1, 1.5, 0.2],\n",
       "        [5. , 3.2, 1.2, 0.2],\n",
       "        [5.5, 3.5, 1.3, 0.2],\n",
       "        [4.9, 3.6, 1.4, 0.1],\n",
       "        [4.4, 3. , 1.3, 0.2],\n",
       "        [5.1, 3.4, 1.5, 0.2],\n",
       "        [5. , 3.5, 1.3, 0.3],\n",
       "        [4.5, 2.3, 1.3, 0.3],\n",
       "        [4.4, 3.2, 1.3, 0.2],\n",
       "        [5. , 3.5, 1.6, 0.6],\n",
       "        [5.1, 3.8, 1.9, 0.4],\n",
       "        [4.8, 3. , 1.4, 0.3],\n",
       "        [5.1, 3.8, 1.6, 0.2],\n",
       "        [4.6, 3.2, 1.4, 0.2],\n",
       "        [5.3, 3.7, 1.5, 0.2],\n",
       "        [5. , 3.3, 1.4, 0.2],\n",
       "        [7. , 3.2, 4.7, 1.4],\n",
       "        [6.4, 3.2, 4.5, 1.5],\n",
       "        [6.9, 3.1, 4.9, 1.5],\n",
       "        [5.5, 2.3, 4. , 1.3],\n",
       "        [6.5, 2.8, 4.6, 1.5],\n",
       "        [5.7, 2.8, 4.5, 1.3],\n",
       "        [6.3, 3.3, 4.7, 1.6],\n",
       "        [4.9, 2.4, 3.3, 1. ],\n",
       "        [6.6, 2.9, 4.6, 1.3],\n",
       "        [5.2, 2.7, 3.9, 1.4],\n",
       "        [5. , 2. , 3.5, 1. ],\n",
       "        [5.9, 3. , 4.2, 1.5],\n",
       "        [6. , 2.2, 4. , 1. ],\n",
       "        [6.1, 2.9, 4.7, 1.4],\n",
       "        [5.6, 2.9, 3.6, 1.3],\n",
       "        [6.7, 3.1, 4.4, 1.4],\n",
       "        [5.6, 3. , 4.5, 1.5],\n",
       "        [5.8, 2.7, 4.1, 1. ],\n",
       "        [6.2, 2.2, 4.5, 1.5],\n",
       "        [5.6, 2.5, 3.9, 1.1],\n",
       "        [5.9, 3.2, 4.8, 1.8],\n",
       "        [6.1, 2.8, 4. , 1.3],\n",
       "        [6.3, 2.5, 4.9, 1.5],\n",
       "        [6.1, 2.8, 4.7, 1.2],\n",
       "        [6.4, 2.9, 4.3, 1.3],\n",
       "        [6.6, 3. , 4.4, 1.4],\n",
       "        [6.8, 2.8, 4.8, 1.4],\n",
       "        [6.7, 3. , 5. , 1.7],\n",
       "        [6. , 2.9, 4.5, 1.5],\n",
       "        [5.7, 2.6, 3.5, 1. ],\n",
       "        [5.5, 2.4, 3.8, 1.1],\n",
       "        [5.5, 2.4, 3.7, 1. ],\n",
       "        [5.8, 2.7, 3.9, 1.2],\n",
       "        [6. , 2.7, 5.1, 1.6],\n",
       "        [5.4, 3. , 4.5, 1.5],\n",
       "        [6. , 3.4, 4.5, 1.6],\n",
       "        [6.7, 3.1, 4.7, 1.5],\n",
       "        [6.3, 2.3, 4.4, 1.3],\n",
       "        [5.6, 3. , 4.1, 1.3],\n",
       "        [5.5, 2.5, 4. , 1.3],\n",
       "        [5.5, 2.6, 4.4, 1.2],\n",
       "        [6.1, 3. , 4.6, 1.4],\n",
       "        [5.8, 2.6, 4. , 1.2],\n",
       "        [5. , 2.3, 3.3, 1. ],\n",
       "        [5.6, 2.7, 4.2, 1.3],\n",
       "        [5.7, 3. , 4.2, 1.2],\n",
       "        [5.7, 2.9, 4.2, 1.3],\n",
       "        [6.2, 2.9, 4.3, 1.3],\n",
       "        [5.1, 2.5, 3. , 1.1],\n",
       "        [5.7, 2.8, 4.1, 1.3],\n",
       "        [6.3, 3.3, 6. , 2.5],\n",
       "        [5.8, 2.7, 5.1, 1.9],\n",
       "        [7.1, 3. , 5.9, 2.1],\n",
       "        [6.3, 2.9, 5.6, 1.8],\n",
       "        [6.5, 3. , 5.8, 2.2],\n",
       "        [7.6, 3. , 6.6, 2.1],\n",
       "        [4.9, 2.5, 4.5, 1.7],\n",
       "        [7.3, 2.9, 6.3, 1.8],\n",
       "        [6.7, 2.5, 5.8, 1.8],\n",
       "        [7.2, 3.6, 6.1, 2.5],\n",
       "        [6.5, 3.2, 5.1, 2. ],\n",
       "        [6.4, 2.7, 5.3, 1.9],\n",
       "        [6.8, 3. , 5.5, 2.1],\n",
       "        [5.7, 2.5, 5. , 2. ],\n",
       "        [5.8, 2.8, 5.1, 2.4],\n",
       "        [6.4, 3.2, 5.3, 2.3],\n",
       "        [6.5, 3. , 5.5, 1.8],\n",
       "        [7.7, 3.8, 6.7, 2.2],\n",
       "        [7.7, 2.6, 6.9, 2.3],\n",
       "        [6. , 2.2, 5. , 1.5],\n",
       "        [6.9, 3.2, 5.7, 2.3],\n",
       "        [5.6, 2.8, 4.9, 2. ],\n",
       "        [7.7, 2.8, 6.7, 2. ],\n",
       "        [6.3, 2.7, 4.9, 1.8],\n",
       "        [6.7, 3.3, 5.7, 2.1],\n",
       "        [7.2, 3.2, 6. , 1.8],\n",
       "        [6.2, 2.8, 4.8, 1.8],\n",
       "        [6.1, 3. , 4.9, 1.8],\n",
       "        [6.4, 2.8, 5.6, 2.1],\n",
       "        [7.2, 3. , 5.8, 1.6],\n",
       "        [7.4, 2.8, 6.1, 1.9],\n",
       "        [7.9, 3.8, 6.4, 2. ],\n",
       "        [6.4, 2.8, 5.6, 2.2],\n",
       "        [6.3, 2.8, 5.1, 1.5],\n",
       "        [6.1, 2.6, 5.6, 1.4],\n",
       "        [7.7, 3. , 6.1, 2.3],\n",
       "        [6.3, 3.4, 5.6, 2.4],\n",
       "        [6.4, 3.1, 5.5, 1.8],\n",
       "        [6. , 3. , 4.8, 1.8],\n",
       "        [6.9, 3.1, 5.4, 2.1],\n",
       "        [6.7, 3.1, 5.6, 2.4],\n",
       "        [6.9, 3.1, 5.1, 2.3],\n",
       "        [5.8, 2.7, 5.1, 1.9],\n",
       "        [6.8, 3.2, 5.9, 2.3],\n",
       "        [6.7, 3.3, 5.7, 2.5],\n",
       "        [6.7, 3. , 5.2, 2.3],\n",
       "        [6.3, 2.5, 5. , 1.9],\n",
       "        [6.5, 3. , 5.2, 2. ],\n",
       "        [6.2, 3.4, 5.4, 2.3],\n",
       "        [5.9, 3. , 5.1, 1.8]]),\n",
       " array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "        0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "        1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "        1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "        2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "        2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]))"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iris"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "56f30e8a",
   "metadata": {},
   "outputs": [],
   "source": [
    "features = iris"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "0669c618",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "150"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(features[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "88097033",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "150"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(features[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "05373185",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8ec7f6a1",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4873f7c1",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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