Activity01/Activity01.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "df=pd.read_csv(\"../datasets/Boston_housing.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>B</th>\n",
       "      <th>LSTAT</th>\n",
       "      <th>PRICE</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td>0</td>\n",
       "      <td>0.00632</td>\n",
       "      <td>18.0</td>\n",
       "      <td>2.31</td>\n",
       "      <td>0</td>\n",
       "      <td>0.538</td>\n",
       "      <td>6.575</td>\n",
       "      <td>65.2</td>\n",
       "      <td>4.0900</td>\n",
       "      <td>1</td>\n",
       "      <td>296</td>\n",
       "      <td>15.3</td>\n",
       "      <td>396.90</td>\n",
       "      <td>4.98</td>\n",
       "      <td>24.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>1</td>\n",
       "      <td>0.02731</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>6.421</td>\n",
       "      <td>78.9</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242</td>\n",
       "      <td>17.8</td>\n",
       "      <td>396.90</td>\n",
       "      <td>9.14</td>\n",
       "      <td>21.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2</td>\n",
       "      <td>0.02729</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>7.185</td>\n",
       "      <td>61.1</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242</td>\n",
       "      <td>17.8</td>\n",
       "      <td>392.83</td>\n",
       "      <td>4.03</td>\n",
       "      <td>34.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>3</td>\n",
       "      <td>0.03237</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>6.998</td>\n",
       "      <td>45.8</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222</td>\n",
       "      <td>18.7</td>\n",
       "      <td>394.63</td>\n",
       "      <td>2.94</td>\n",
       "      <td>33.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>4</td>\n",
       "      <td>0.06905</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>7.147</td>\n",
       "      <td>54.2</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222</td>\n",
       "      <td>18.7</td>\n",
       "      <td>396.90</td>\n",
       "      <td>5.33</td>\n",
       "      <td>36.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>5</td>\n",
       "      <td>0.02985</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>6.430</td>\n",
       "      <td>58.7</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222</td>\n",
       "      <td>18.7</td>\n",
       "      <td>394.12</td>\n",
       "      <td>5.21</td>\n",
       "      <td>28.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>6</td>\n",
       "      <td>0.08829</td>\n",
       "      <td>12.5</td>\n",
       "      <td>7.87</td>\n",
       "      <td>0</td>\n",
       "      <td>0.524</td>\n",
       "      <td>6.012</td>\n",
       "      <td>66.6</td>\n",
       "      <td>5.5605</td>\n",
       "      <td>5</td>\n",
       "      <td>311</td>\n",
       "      <td>15.2</td>\n",
       "      <td>395.60</td>\n",
       "      <td>12.43</td>\n",
       "      <td>22.9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>7</td>\n",
       "      <td>0.14455</td>\n",
       "      <td>12.5</td>\n",
       "      <td>7.87</td>\n",
       "      <td>0</td>\n",
       "      <td>0.524</td>\n",
       "      <td>6.172</td>\n",
       "      <td>96.1</td>\n",
       "      <td>5.9505</td>\n",
       "      <td>5</td>\n",
       "      <td>311</td>\n",
       "      <td>15.2</td>\n",
       "      <td>396.90</td>\n",
       "      <td>19.15</td>\n",
       "      <td>27.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>8</td>\n",
       "      <td>0.21124</td>\n",
       "      <td>12.5</td>\n",
       "      <td>7.87</td>\n",
       "      <td>0</td>\n",
       "      <td>0.524</td>\n",
       "      <td>5.631</td>\n",
       "      <td>100.0</td>\n",
       "      <td>6.0821</td>\n",
       "      <td>5</td>\n",
       "      <td>311</td>\n",
       "      <td>15.2</td>\n",
       "      <td>386.63</td>\n",
       "      <td>29.93</td>\n",
       "      <td>16.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>9</td>\n",
       "      <td>0.17004</td>\n",
       "      <td>12.5</td>\n",
       "      <td>7.87</td>\n",
       "      <td>0</td>\n",
       "      <td>0.524</td>\n",
       "      <td>6.004</td>\n",
       "      <td>85.9</td>\n",
       "      <td>6.5921</td>\n",
       "      <td>5</td>\n",
       "      <td>311</td>\n",
       "      <td>15.2</td>\n",
       "      <td>386.71</td>\n",
       "      <td>17.10</td>\n",
       "      <td>18.9</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      CRIM    ZN  INDUS  CHAS    NOX     RM    AGE     DIS  RAD  TAX  PTRATIO  \\\n",
       "0  0.00632  18.0   2.31     0  0.538  6.575   65.2  4.0900    1  296     15.3   \n",
       "1  0.02731   0.0   7.07     0  0.469  6.421   78.9  4.9671    2  242     17.8   \n",
       "2  0.02729   0.0   7.07     0  0.469  7.185   61.1  4.9671    2  242     17.8   \n",
       "3  0.03237   0.0   2.18     0  0.458  6.998   45.8  6.0622    3  222     18.7   \n",
       "4  0.06905   0.0   2.18     0  0.458  7.147   54.2  6.0622    3  222     18.7   \n",
       "5  0.02985   0.0   2.18     0  0.458  6.430   58.7  6.0622    3  222     18.7   \n",
       "6  0.08829  12.5   7.87     0  0.524  6.012   66.6  5.5605    5  311     15.2   \n",
       "7  0.14455  12.5   7.87     0  0.524  6.172   96.1  5.9505    5  311     15.2   \n",
       "8  0.21124  12.5   7.87     0  0.524  5.631  100.0  6.0821    5  311     15.2   \n",
       "9  0.17004  12.5   7.87     0  0.524  6.004   85.9  6.5921    5  311     15.2   \n",
       "\n",
       "        B  LSTAT  PRICE  \n",
       "0  396.90   4.98   24.0  \n",
       "1  396.90   9.14   21.6  \n",
       "2  392.83   4.03   34.7  \n",
       "3  394.63   2.94   33.4  \n",
       "4  396.90   5.33   36.2  \n",
       "5  394.12   5.21   28.7  \n",
       "6  395.60  12.43   22.9  \n",
       "7  396.90  19.15   27.1  \n",
       "8  386.63  29.93   16.5  \n",
       "9  386.71  17.10   18.9  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(506, 14)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "df1=df[['CRIM','ZN','INDUS','RM','AGE','DIS',\n",
    "'RAD','TAX','PTRATIO','PRICE']]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>PRICE</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td>499</td>\n",
       "      <td>0.17783</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.69</td>\n",
       "      <td>5.569</td>\n",
       "      <td>73.5</td>\n",
       "      <td>2.3999</td>\n",
       "      <td>6</td>\n",
       "      <td>391</td>\n",
       "      <td>19.2</td>\n",
       "      <td>17.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>500</td>\n",
       "      <td>0.22438</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.69</td>\n",
       "      <td>6.027</td>\n",
       "      <td>79.7</td>\n",
       "      <td>2.4982</td>\n",
       "      <td>6</td>\n",
       "      <td>391</td>\n",
       "      <td>19.2</td>\n",
       "      <td>16.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>501</td>\n",
       "      <td>0.06263</td>\n",
       "      <td>0.0</td>\n",
       "      <td>11.93</td>\n",
       "      <td>6.593</td>\n",
       "      <td>69.1</td>\n",
       "      <td>2.4786</td>\n",
       "      <td>1</td>\n",
       "      <td>273</td>\n",
       "      <td>21.0</td>\n",
       "      <td>22.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>502</td>\n",
       "      <td>0.04527</td>\n",
       "      <td>0.0</td>\n",
       "      <td>11.93</td>\n",
       "      <td>6.120</td>\n",
       "      <td>76.7</td>\n",
       "      <td>2.2875</td>\n",
       "      <td>1</td>\n",
       "      <td>273</td>\n",
       "      <td>21.0</td>\n",
       "      <td>20.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>503</td>\n",
       "      <td>0.06076</td>\n",
       "      <td>0.0</td>\n",
       "      <td>11.93</td>\n",
       "      <td>6.976</td>\n",
       "      <td>91.0</td>\n",
       "      <td>2.1675</td>\n",
       "      <td>1</td>\n",
       "      <td>273</td>\n",
       "      <td>21.0</td>\n",
       "      <td>23.9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>504</td>\n",
       "      <td>0.10959</td>\n",
       "      <td>0.0</td>\n",
       "      <td>11.93</td>\n",
       "      <td>6.794</td>\n",
       "      <td>89.3</td>\n",
       "      <td>2.3889</td>\n",
       "      <td>1</td>\n",
       "      <td>273</td>\n",
       "      <td>21.0</td>\n",
       "      <td>22.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>505</td>\n",
       "      <td>0.04741</td>\n",
       "      <td>0.0</td>\n",
       "      <td>11.93</td>\n",
       "      <td>6.030</td>\n",
       "      <td>80.8</td>\n",
       "      <td>2.5050</td>\n",
       "      <td>1</td>\n",
       "      <td>273</td>\n",
       "      <td>21.0</td>\n",
       "      <td>11.9</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        CRIM   ZN  INDUS     RM   AGE     DIS  RAD  TAX  PTRATIO  PRICE\n",
       "499  0.17783  0.0   9.69  5.569  73.5  2.3999    6  391     19.2   17.5\n",
       "500  0.22438  0.0   9.69  6.027  79.7  2.4982    6  391     19.2   16.8\n",
       "501  0.06263  0.0  11.93  6.593  69.1  2.4786    1  273     21.0   22.4\n",
       "502  0.04527  0.0  11.93  6.120  76.7  2.2875    1  273     21.0   20.6\n",
       "503  0.06076  0.0  11.93  6.976  91.0  2.1675    1  273     21.0   23.9\n",
       "504  0.10959  0.0  11.93  6.794  89.3  2.3889    1  273     21.0   22.0\n",
       "505  0.04741  0.0  11.93  6.030  80.8  2.5050    1  273     21.0   11.9"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df1.tail(7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "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"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAEKCAYAAADpfBXhAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAS7ElEQVR4nO3df5Bfd13v8efLhPKj6LSl29qbFLYwUakdBe7SC+JgpSotZUjVcm1lNGg1okXAeq8UnbHMKE6r/J659BIsNDCl0NuC7QAKJRaRGRvZlN7+CtCINQ2NyWKhlMuPEvq+f3xPhnXz3Wa/Pzab7yfPx8zO+Z7P+ZxzPp89zet79nN+NFWFJKktP7DSDZAkjZ/hLkkNMtwlqUGGuyQ1yHCXpAYZ7pLUIMNdyyrJ65PUvJ/7k1yf5Gnz6lyVZHbA7Z7QbXt6jG19XpJbk3w7yaL3CHf9eOW8+au6snf2qTub5Kp58y+f97t4JMmDSW5P8tb5v5Ou7nRX78V9tntat+yMeWVPSfK+JDu7PtyX5IYkzx/8t6FJZ7jrUHgQeG738z+AZwBbkhw9wjZPAC4Fpkdu3fe9E/ga8EJ6bR3Uy5OsWWLdFwA/BfwycCXwC8DtSc4eYr8kORa4Bfhx4HXA2cCfAo8wXF804VavdAN0RNhXVbd0n29JshP4R+BFwP9ZuWYd4MeATVX1D0OsezdwPPA/gdcsof5nq+ob3edPJvnfwEeA9yeZrqoHB9z/ecCJwE9W1d555e9JkgG3pQZ45q6VsK2bTi9WIckzkmxJ8s0kX01ydZITu2XTwB1d1Zv3D3M82g6TvCDJ1m64Yk+SdyR5YrfsjG79VcDbuu1dNWCfvgW8GdiY5IQB16WqvgP8PnAMcMGg63frPQw80GfbPoZ+BDLctRKmu+m/91uYZAr4FPAE4Ffphd7PADclOQrYDbysq34R3x/y6SvJqcDfAV+hNwxyabfd67oqt85b/03d5z8buFfwDuDbwMVDrEtVfR7YBTxniNVvBR4LvC/Jf03iv+0jnMMyOiSS7P9v7an0QvAh4JOLVP/DbvrCqvp6t/4Xga3AL1fVNUlu7+rcPW/IZzF/Cvwb8JKq+l63vQeADyZ5blX9E73hIoB7l7C9vqrqoSRvBy5OcnlVfXWIzeyiN7wy6L63JHkLvSGh84GHktwEXFFVi/2e1TC/3XUoPAn4bvfzBXoB/ytVtXuR+qcDn9gf7ABV9c/AvcBPD7H/04EP7w/2zvXAviG392je1k1fNeT6Q4+PV9XFwI/QG/f/FHAW8Ikkrxh2m5pchrsOhQeBZwMzwFpguqr+9lHqnwTs6VO+BzhuiP0fsL0u6P9jyO0tqjtbvwJ41f4x/QGt4ftt3ddNV/Wpt2pBnf3731FVb6yqlwBPAW4D/sKLqkcew12Hwr6qmq2qbVX15SVc4NtN71bHhU6kzwXDJThge0lW0fuLYpjtHcybgMcDvzfISkmeTu/L75+6ov+gdyvjD/epflI33dtnGQBV9RXgPcCx9P99qmGGuw5HW4EXJvnB/QVJnk3vQuxnuqKHu+njlri9X+wCfb9fonfN6TP9Vxledyviu+hdWH38UtZJ8ljg7fTus/9At51v0buzaH2fVdbTuyC9o1t/apFNrwO+Q++vJx1BvKCqw9Gbgd8FPp7kcuCJwGX0bn+8vquzk97thxuSPAh8t6oWe8r1z4HPAX+T5Ap6Z8eXAx/vLqYuh78CXkHvr43P9ln+7CTfondH0GnA79D78jpvwT3urwc+kuQDwDX0rlu8uKv/e1X1SFdvQ5KXAe8F/i/wGOBMen89XFFV3x5r73TYM9x12KmquSQ/S2944xp6Z+kfA/6gqh7u6nw7yW/Tu63xH+iFWd9x5aq6q3vy8y+ADwFf77b7R8vYh11JNgO/vUiVv++m36B3ofiTwNur6l8WbOdjSc4B/gR4P72x9ruBDVX1vnlVPwac0u3vZOB7wL/Qu430XePokyZLfL5BktrjmLskNchwl6QGGe6S1CDDXZIadFjcLXP88cfX9PT0SjdDkibKtm3bvlJVfZ9xOCzCfXp6mtnZgf5HPJJ0xEvyb4stc1hGkhpkuEtSgwx3SWqQ4S5JDTLcJalBhrskNchwl6QGGe6S1CDDXZIadFg8oSrpQNOXfHTode+97JwxtkSTyDN3SWqQ4S5JDTLcJalBhrskNchwl6QGGe6S1CDDXZIaZLhLUoMMd0lqkOEuSQ0y3CWpQYa7JDXIcJekBhnuktSgg4Z7kncn2Zvkznllf5Xk80luT/LhJMfMW/a6JDuSfCHJC5er4ZKkxS3lzP0q4KwFZTcBp1XVTwBfBF4HkORU4Hzgx7t13pFk1dhaK0lakoOGe1V9GnhgQdknqmpfN3sLsLb7vB74QFV9p6r+FdgBnD7G9kqSlmAcY+6/Cfxt93kNcN+8Zbu6MknSITRSuCf5E2AfcPX+oj7VapF1NyaZTTI7Nzc3SjMkSQsMHe5JNgAvBl5WVfsDfBdw8rxqa4H7+61fVZuqaqaqZqampoZthiSpj6HCPclZwGuBl1TVN+ctuhE4P8ljk5wCrAP+efRmSpIGsfpgFZJcA5wBHJ9kF3ApvbtjHgvclATglqp6RVXdleRa4G56wzUXVdX3lqvxkqT+DhruVXVBn+IrH6X+G4A3jNIoSdJofEJVkhpkuEtSgwx3SWqQ4S5JDTLcJalBhrskNchwl6QGGe6S1CDDXZIaZLhLUoMMd0lqkOEuSQ0y3CWpQYa7JDXIcJekBhnuktQgw12SGmS4S1KDDHdJapDhLkkNMtwlqUGGuyQ1yHCXpAYdNNyTvDvJ3iR3zis7LslNSe7ppsd25Uny9iQ7ktye5FnL2XhJUn9LOXO/CjhrQdklwJaqWgds6eYBzgbWdT8bgSvG00xJ0iAOGu5V9WnggQXF64HN3efNwLnzyt9bPbcAxyQ5aVyNlSQtzbBj7idW1W6AbnpCV74GuG9evV1d2QGSbEwym2R2bm5uyGZIkvoZ9wXV9CmrfhWralNVzVTVzNTU1JibIUlHtmHDfc/+4ZZuurcr3wWcPK/eWuD+4ZsnSRrGsOF+I7Ch+7wBuGFe+a93d808B3hw//CNJOnQWX2wCkmuAc4Ajk+yC7gUuAy4NsmFwE7gpV31jwEvAnYA3wR+YxnaLEk6iIOGe1VdsMiiM/vULeCiURslSRqNT6hKUoMMd0lqkOEuSQ0y3CWpQYa7JDXIcJekBhnuktQgw12SGmS4S1KDDHdJapDhLkkNMtwlqUGGuyQ1yHCXpAYZ7pLUIMNdkhpkuEtSgwx3SWqQ4S5JDTLcJalBhrskNchwl6QGjRTuSf4gyV1J7kxyTZLHJTklydYk9yT5YJKjxtVYSdLSDB3uSdYArwJmquo0YBVwPnA58JaqWgd8FbhwHA2VJC3dqMMyq4HHJ1kNPAHYDbwAuK5bvhk4d8R9SJIGNHS4V9WXgTcCO+mF+oPANuBrVbWvq7YLWNNv/SQbk8wmmZ2bmxu2GZKkPkYZljkWWA+cAvwX4Gjg7D5Vq9/6VbWpqmaqamZqamrYZkiS+hhlWObngH+tqrmq+i7wIeCngGO6YRqAtcD9I7ZRkjSgUcJ9J/CcJE9IEuBM4G7gZuC8rs4G4IbRmihJGtQoY+5b6V04vRW4o9vWJuC1wMVJdgBPAq4cQzslSQNYffAqi6uqS4FLFxR/CTh9lO1KkkbjE6qS1CDDXZIaZLhLUoMMd0lqkOEuSQ0y3CWpQYa7JDXIcJekBhnuktQgw12SGmS4S1KDDHdJapDhLkkNMtwlqUGGuyQ1yHCXpAYZ7pLUIMNdkhpkuEtSgwx3SWqQ4S5JDTLcJalBhrskNWikcE9yTJLrknw+yfYkz01yXJKbktzTTY8dV2MlSUsz6pn724C/q6ofA34S2A5cAmypqnXAlm5eknQIDR3uSX4IeD5wJUBVPVxVXwPWA5u7apuBc0dtpCRpMKOcuT8VmAPek+RzSf46ydHAiVW1G6CbntBv5SQbk8wmmZ2bmxuhGZKkhUYJ99XAs4ArquqZwP9jgCGYqtpUVTNVNTM1NTVCMyRJC40S7ruAXVW1tZu/jl7Y70lyEkA33TtaEyVJgxo63Kvq34H7kvxoV3QmcDdwI7ChK9sA3DBSCyVJA1s94vq/D1yd5CjgS8Bv0PvCuDbJhcBO4KUj7kOSNKCRwr2qbgNm+iw6c5TtSpJG4xOqktQgw12SGmS4S1KDDHdJapDhLkkNMtwlqUGGuyQ1yHCXpAaN+oTqEW36ko8Ove69l52zIvsddd+SJoNn7pLUIMNdkhpkuEtSgxxzPwKt1LUCSYeOZ+6S1CDDXZIaZLhLUoMMd0lqkOEuSQ0y3CWpQd4KuUJGfYWAJD0az9wlqUGGuyQ1aORwT7IqyeeSfKSbPyXJ1iT3JPlgkqNGb6YkaRDjOHN/NbB93vzlwFuqah3wVeDCMexDkjSAkcI9yVrgHOCvu/kALwCu66psBs4dZR+SpMGNeub+VuCPgEe6+ScBX6uqfd38LmBNvxWTbEwym2R2bm5uxGZIkuYbOtyTvBjYW1Xb5hf3qVr91q+qTVU1U1UzU1NTwzZDktTHKPe5Pw94SZIXAY8DfojemfwxSVZ3Z+9rgftHb+by8X5zSS0a+sy9ql5XVWuraho4H/j7qnoZcDNwXldtA3DDyK2UJA1kOe5zfy1wcZId9Mbgr1yGfUiSHsVYXj9QVZ8CPtV9/hJw+ji2K0kajk+oSlKDDHdJapDhLkkNMtwlqUGGuyQ1yHCXpAYZ7pLUIMNdkhpkuEtSgwx3SWrQWF4/IKkdo74p9d7LzhlTSzQKz9wlqUGGuyQ1yHCXpAYZ7pLUIMNdkhpkuEtSgwx3SWqQ4S5JDfIhJh0yozwc44Mx0mA8c5ekBhnuktSgocM9yclJbk6yPcldSV7dlR+X5KYk93TTY8fXXEnSUoxy5r4P+MOqejrwHOCiJKcClwBbqmodsKWblyQdQkOHe1Xtrqpbu88PAduBNcB6YHNXbTNw7qiNlCQNZix3yySZBp4JbAVOrKrd0PsCSHLCIutsBDYCPPnJTx5HM3QIjPo6WEmHxsgXVJM8EbgeeE1VfX2p61XVpqqaqaqZqampUZshSZpnpHBP8hh6wX51VX2oK96T5KRu+UnA3tGaKEka1Ch3ywS4EtheVW+et+hGYEP3eQNww/DNkyQNY5Qx9+cBvwbckeS2ruyPgcuAa5NcCOwEXjpaEyVJgxo63KvqM0AWWXzmsNsdlBf4JOlAPqEqSQ0y3CWpQb4VUs0bdejON1IOxrd/Hh48c5ekBhnuktQgw12SGmS4S1KDDHdJapDhLkkNMtwlqUGGuyQ1yHCXpAYZ7pLUIMNdkhpkuEtSg3xxmKQjXosvl/PMXZIaZLhLUoMcltFE8H+nqMPZ4fgOe8/cJalBhrskNchhGekgDsc/uaWD8cxdkhq0bOGe5KwkX0iyI8kly7UfSdKBliXck6wC/hdwNnAqcEGSU5djX5KkAy3XmfvpwI6q+lJVPQx8AFi/TPuSJC2Qqhr/RpPzgLOq6re6+V8D/ltVvXJenY3Axm72R4EvLGHTxwNfGXNzDyf2b7K13L+W+waT27+nVNVUvwXLdbdM+pT9p2+RqtoEbBpoo8lsVc2M0rDDmf2bbC33r+W+QZv9W65hmV3AyfPm1wL3L9O+JEkLLFe4fxZYl+SUJEcB5wM3LtO+JEkLLMuwTFXtS/JK4OPAKuDdVXXXGDY90DDOBLJ/k63l/rXcN2iwf8tyQVWStLJ8QlWSGmS4S1KDJibcW3+dQZJ7k9yR5LYksyvdnlEleXeSvUnunFd2XJKbktzTTY9dyTYOa5G+vT7Jl7vjd1uSF61kG0eR5OQkNyfZnuSuJK/uyls5fov1r5ljCBMy5t69zuCLwM/Tu83ys8AFVXX3ijZsjJLcC8xU1SQ+SHGAJM8HvgG8t6pO68r+Enigqi7rvqCPrarXrmQ7h7FI314PfKOq3riSbRuHJCcBJ1XVrUl+ENgGnAu8nDaO32L9++80cgxhcs7cfZ3BhKmqTwMPLCheD2zuPm+m9w9q4izSt2ZU1e6qurX7/BCwHVhDO8dvsf41ZVLCfQ1w37z5XbR3MAr4RJJt3asZWnRiVe2G3j8w4IQVbs+4vTLJ7d2wzUQOWSyUZBp4JrCVBo/fgv5BQ8dwUsL9oK8zaMDzqupZ9N6keVH3p78mxxXA04BnALuBN61sc0aX5InA9cBrqurrK92ecevTv6aO4aSEe/OvM6iq+7vpXuDD9IaiWrOnG+/cP+65d4XbMzZVtaeqvldVjwDvYsKPX5LH0Au+q6vqQ11xM8evX/9aO4aTEu5Nv84gydHdhR2SHA38AnDno681kW4ENnSfNwA3rGBbxmp/6HV+kQk+fkkCXAlsr6o3z1vUxPFbrH8tHUOYkLtlALrbkt7K919n8IYVbtLYJHkqvbN16L0S4v2T3r8k1wBn0HuV6h7gUuBvgGuBJwM7gZdW1cRdmFykb2fQ+3O+gHuB39k/Pj1pkvw08I/AHcAjXfEf0xuXbuH4Lda/C2jkGMIEhbskaekmZVhGkjQAw12SGmS4S1KDDHdJapDhLkkNMtwlqUGGuyQ16P8DWuJHUpkWZtQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "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": [
    "for c in df1.columns:\n",
    "    plt.title(\"Plot of \"+c,fontsize=15)\n",
    "    plt.hist(df1[c],bins=20)\n",
    "    plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "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": [
    "plt.scatter(df1['CRIM'],df1['PRICE'])\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "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": [
    "plt.scatter(np.log10(df1['CRIM']),df1['PRICE'],c='red')\n",
    "plt.title(\"Crime rate (Log) vs. Price plot\", fontsize=18)\n",
    "plt.xlabel(\"Log of Crime rate\",fontsize=15)\n",
    "plt.ylabel(\"Price\",fontsize=15)\n",
    "plt.grid(True)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6.284634387351788"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df1['RM'].mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "77.5"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df1['AGE'].median()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.795042687747034"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df1['DIS'].mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0      False\n",
      "1      False\n",
      "2      False\n",
      "3      False\n",
      "4      False\n",
      "       ...  \n",
      "501    False\n",
      "502    False\n",
      "503    False\n",
      "504    False\n",
      "505     True\n",
      "Name: PRICE, Length: 506, dtype: bool\n"
     ]
    }
   ],
   "source": [
    "low_price=df1['PRICE']<20\n",
    "print(low_price)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.4150197628458498"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# That many houses are priced below 20,000. So that is the answer. \n",
    "low_price.mean()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Percentage of house with <20,000 price is:  41.50197628458498\n"
     ]
    }
   ],
   "source": [
    "# You can convert that into percentage by multiplying with 100\n",
    "pcnt=low_price.mean()*100\n",
    "print(\"\\nPercentage of house with <20,000 price is: \",pcnt)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}