Day 1.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "a = np.array([1,2,3,4,5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "15"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = np.random.randint(0,15,(10,10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([13, 14, 13, 13, 12, 14, 14, 10, 12, 11])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.max(axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 2,  9,  4,  1,  3,  3, 10,  5, 13, 13],\n",
       "       [ 6, 13,  5, 13, 14, 13,  1, 13, 11,  2],\n",
       "       [13,  3, 12, 13, 10,  8, 13,  4,  1,  8],\n",
       "       [ 6, 11,  4,  4,  3, 13,  3,  1, 13,  0],\n",
       "       [12,  7, 10,  2,  8,  9,  9,  0,  4,  6],\n",
       "       [ 6,  1,  5, 14, 10, 10,  9,  7,  0,  8],\n",
       "       [ 9, 11, 13,  1,  6, 14,  1,  5,  1,  1],\n",
       "       [ 6,  7, 10,  9,  2,  5,  9,  9,  8,  6],\n",
       "       [12,  7,  3,  4, 11,  1,  1,  1,  9,  6],\n",
       "       [ 8,  5,  0,  1,  3, 11,  0,  9,  7,  9]])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([13, 13, 13, 14, 14, 14, 13, 13, 13, 13])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.max(axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 6,  7,  8,  9, 10])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a + 5 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 2])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a[np.where(a < 3)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "titanic_data = pd.read_csv('https://raw.githubusercontent.com/edyoda/data-science-complete-tutorial/master/Data/titanic-train.csv.txt', index_col='PassengerId')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "\n",
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       "\n",
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Survived</th>\n",
       "      <th>Pclass</th>\n",
       "      <th>Name</th>\n",
       "      <th>Sex</th>\n",
       "      <th>Age</th>\n",
       "      <th>SibSp</th>\n",
       "      <th>Parch</th>\n",
       "      <th>Ticket</th>\n",
       "      <th>Fare</th>\n",
       "      <th>Cabin</th>\n",
       "      <th>Embarked</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PassengerId</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Braund, Mr. Owen Harris</td>\n",
       "      <td>male</td>\n",
       "      <td>22.0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>A/5 21171</td>\n",
       "      <td>7.2500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>Cumings, Mrs. John Bradley (Florence Briggs Th...</td>\n",
       "      <td>female</td>\n",
       "      <td>38.0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>PC 17599</td>\n",
       "      <td>71.2833</td>\n",
       "      <td>C85</td>\n",
       "      <td>C</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>Heikkinen, Miss. Laina</td>\n",
       "      <td>female</td>\n",
       "      <td>26.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>STON/O2. 3101282</td>\n",
       "      <td>7.9250</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>Futrelle, Mrs. Jacques Heath (Lily May Peel)</td>\n",
       "      <td>female</td>\n",
       "      <td>35.0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>113803</td>\n",
       "      <td>53.1000</td>\n",
       "      <td>C123</td>\n",
       "      <td>S</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Allen, Mr. William Henry</td>\n",
       "      <td>male</td>\n",
       "      <td>35.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>373450</td>\n",
       "      <td>8.0500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             Survived  Pclass  \\\n",
       "PassengerId                     \n",
       "1                   0       3   \n",
       "2                   1       1   \n",
       "3                   1       3   \n",
       "4                   1       1   \n",
       "5                   0       3   \n",
       "\n",
       "                                                          Name     Sex   Age  \\\n",
       "PassengerId                                                                    \n",
       "1                                      Braund, Mr. Owen Harris    male  22.0   \n",
       "2            Cumings, Mrs. John Bradley (Florence Briggs Th...  female  38.0   \n",
       "3                                       Heikkinen, Miss. Laina  female  26.0   \n",
       "4                 Futrelle, Mrs. Jacques Heath (Lily May Peel)  female  35.0   \n",
       "5                                     Allen, Mr. William Henry    male  35.0   \n",
       "\n",
       "             SibSp  Parch            Ticket     Fare Cabin Embarked  \n",
       "PassengerId                                                          \n",
       "1                1      0         A/5 21171   7.2500   NaN        S  \n",
       "2                1      0          PC 17599  71.2833   C85        C  \n",
       "3                0      0  STON/O2. 3101282   7.9250   NaN        S  \n",
       "4                1      0            113803  53.1000  C123        S  \n",
       "5                0      0            373450   8.0500   NaN        S  "
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "titanic_data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Int64Index: 891 entries, 1 to 891\n",
      "Data columns (total 11 columns):\n",
      "Survived    891 non-null int64\n",
      "Pclass      891 non-null int64\n",
      "Name        891 non-null object\n",
      "Sex         891 non-null object\n",
      "Age         714 non-null float64\n",
      "SibSp       891 non-null int64\n",
      "Parch       891 non-null int64\n",
      "Ticket      891 non-null object\n",
      "Fare        891 non-null float64\n",
      "Cabin       204 non-null object\n",
      "Embarked    889 non-null object\n",
      "dtypes: float64(2), int64(4), object(5)\n",
      "memory usage: 83.5+ KB\n"
     ]
    }
   ],
   "source": [
    "titanic_data.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Survived</th>\n",
       "      <th>Pclass</th>\n",
       "      <th>Age</th>\n",
       "      <th>SibSp</th>\n",
       "      <th>Parch</th>\n",
       "      <th>Fare</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>891.000000</td>\n",
       "      <td>891.000000</td>\n",
       "      <td>714.000000</td>\n",
       "      <td>891.000000</td>\n",
       "      <td>891.000000</td>\n",
       "      <td>891.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>0.383838</td>\n",
       "      <td>2.308642</td>\n",
       "      <td>29.699118</td>\n",
       "      <td>0.523008</td>\n",
       "      <td>0.381594</td>\n",
       "      <td>32.204208</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>0.486592</td>\n",
       "      <td>0.836071</td>\n",
       "      <td>14.526497</td>\n",
       "      <td>1.102743</td>\n",
       "      <td>0.806057</td>\n",
       "      <td>49.693429</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.420000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>20.125000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>7.910400</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>28.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>14.454200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>38.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>31.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>80.000000</td>\n",
       "      <td>8.000000</td>\n",
       "      <td>6.000000</td>\n",
       "      <td>512.329200</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         Survived      Pclass         Age       SibSp       Parch        Fare\n",
       "count  891.000000  891.000000  714.000000  891.000000  891.000000  891.000000\n",
       "mean     0.383838    2.308642   29.699118    0.523008    0.381594   32.204208\n",
       "std      0.486592    0.836071   14.526497    1.102743    0.806057   49.693429\n",
       "min      0.000000    1.000000    0.420000    0.000000    0.000000    0.000000\n",
       "25%      0.000000    2.000000   20.125000    0.000000    0.000000    7.910400\n",
       "50%      0.000000    3.000000   28.000000    0.000000    0.000000   14.454200\n",
       "75%      1.000000    3.000000   38.000000    1.000000    0.000000   31.000000\n",
       "max      1.000000    3.000000   80.000000    8.000000    6.000000  512.329200"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "titanic_data.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "titanic_data_object = titanic_data.select_dtypes(include=['object'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "titanic_data_num = titanic_data.select_dtypes(exclude=['object'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Survived</th>\n",
       "      <th>Pclass</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PassengerId</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
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      ],
      "text/plain": [
       "             Survived  Pclass\n",
       "PassengerId                  \n",
       "1                   0       3\n",
       "2                   1       1\n",
       "3                   1       3\n",
       "4                   1       1\n",
       "5                   0       3"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "titanic_data[['Survived','Pclass']].head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Survived</th>\n",
       "      <th>Pclass</th>\n",
       "      <th>Age</th>\n",
       "      <th>SibSp</th>\n",
       "      <th>Parch</th>\n",
       "      <th>Fare</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>61.0</td>\n",
       "      <td>61.000000</td>\n",
       "      <td>61.000000</td>\n",
       "      <td>61.000000</td>\n",
       "      <td>61.000000</td>\n",
       "      <td>61.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>1.0</td>\n",
       "      <td>2.295082</td>\n",
       "      <td>7.888033</td>\n",
       "      <td>0.770492</td>\n",
       "      <td>1.032787</td>\n",
       "      <td>34.857310</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.760357</td>\n",
       "      <td>6.129831</td>\n",
       "      <td>0.972856</td>\n",
       "      <td>0.752046</td>\n",
       "      <td>39.301839</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>1.0</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.420000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>7.225000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>1.0</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>12.475000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>1.0</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>20.525000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>1.0</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>15.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>36.750000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>1.0</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>17.000000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>211.337500</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       Survived     Pclass        Age      SibSp      Parch        Fare\n",
       "count      61.0  61.000000  61.000000  61.000000  61.000000   61.000000\n",
       "mean        1.0   2.295082   7.888033   0.770492   1.032787   34.857310\n",
       "std         0.0   0.760357   6.129831   0.972856   0.752046   39.301839\n",
       "min         1.0   1.000000   0.420000   0.000000   0.000000    7.225000\n",
       "25%         1.0   2.000000   3.000000   0.000000   0.000000   12.475000\n",
       "50%         1.0   2.000000   5.000000   1.000000   1.000000   20.525000\n",
       "75%         1.0   3.000000  15.000000   1.000000   2.000000   36.750000\n",
       "max         1.0   3.000000  17.000000   4.000000   2.000000  211.337500"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "titanic_data[(titanic_data.Survived == 1) & (titanic_data.Age < 18)].describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "titanic_data['Name_Len'] = titanic_data.Name.str.len()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "82"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "titanic_data.Name_Len.max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'Turpin, Mrs. William John Robert (Dorothy Ann Wonnacott)'"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "titanic_data[titanic_data.Name_Len > 50 ]['Name'].values[3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "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>Survived</th>\n",
       "      <th>Pclass</th>\n",
       "      <th>Age</th>\n",
       "      <th>SibSp</th>\n",
       "      <th>Parch</th>\n",
       "      <th>Fare</th>\n",
       "      <th>Name_Len</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>577.000000</td>\n",
       "      <td>577.000000</td>\n",
       "      <td>453.000000</td>\n",
       "      <td>577.000000</td>\n",
       "      <td>577.000000</td>\n",
       "      <td>577.000000</td>\n",
       "      <td>577.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>0.188908</td>\n",
       "      <td>2.389948</td>\n",
       "      <td>30.726645</td>\n",
       "      <td>0.429809</td>\n",
       "      <td>0.235702</td>\n",
       "      <td>25.523893</td>\n",
       "      <td>23.894281</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>0.391775</td>\n",
       "      <td>0.813580</td>\n",
       "      <td>14.678201</td>\n",
       "      <td>1.061811</td>\n",
       "      <td>0.612294</td>\n",
       "      <td>43.138263</td>\n",
       "      <td>6.085409</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.420000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>12.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>21.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>7.895800</td>\n",
       "      <td>19.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>29.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>10.500000</td>\n",
       "      <td>24.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>39.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>26.550000</td>\n",
       "      <td>27.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>80.000000</td>\n",
       "      <td>8.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>512.329200</td>\n",
       "      <td>49.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         Survived      Pclass         Age       SibSp       Parch        Fare  \\\n",
       "count  577.000000  577.000000  453.000000  577.000000  577.000000  577.000000   \n",
       "mean     0.188908    2.389948   30.726645    0.429809    0.235702   25.523893   \n",
       "std      0.391775    0.813580   14.678201    1.061811    0.612294   43.138263   \n",
       "min      0.000000    1.000000    0.420000    0.000000    0.000000    0.000000   \n",
       "25%      0.000000    2.000000   21.000000    0.000000    0.000000    7.895800   \n",
       "50%      0.000000    3.000000   29.000000    0.000000    0.000000   10.500000   \n",
       "75%      0.000000    3.000000   39.000000    0.000000    0.000000   26.550000   \n",
       "max      1.000000    3.000000   80.000000    8.000000    5.000000  512.329200   \n",
       "\n",
       "         Name_Len  \n",
       "count  577.000000  \n",
       "mean    23.894281  \n",
       "std      6.085409  \n",
       "min     12.000000  \n",
       "25%     19.000000  \n",
       "50%     24.000000  \n",
       "75%     27.000000  \n",
       "max     49.000000  "
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "titanic_data[titanic_data.Sex == 'male'].describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "29.0"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "titanic_data[titanic_data.Sex == 'male'].Age.median()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PassengerId\n",
       "1      22.0\n",
       "2      38.0\n",
       "3      26.0\n",
       "4      35.0\n",
       "5      35.0\n",
       "       ... \n",
       "887    27.0\n",
       "888    19.0\n",
       "889     NaN\n",
       "890    26.0\n",
       "891    32.0\n",
       "Length: 891, dtype: float64"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def f(r):\n",
    "    if (r['Sex'] == 'male') & (r['Age'] == np.nan):\n",
    "        return 29.0\n",
    "    elif (r['Sex'] == 'male') & (r['Age'] == np.nan):\n",
    "        return 27.0\n",
    "    else:\n",
    "        return r['Age']\n",
    "\n",
    "titanic_data.apply(f, axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "28.0"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "titanic_data.Age.median()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "titanic_data = titanic_data.fillna({'Age':28})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Int64Index: 891 entries, 1 to 891\n",
      "Data columns (total 12 columns):\n",
      "Survived    891 non-null int64\n",
      "Pclass      891 non-null int64\n",
      "Name        891 non-null object\n",
      "Sex         891 non-null object\n",
      "Age         891 non-null float64\n",
      "SibSp       891 non-null int64\n",
      "Parch       891 non-null int64\n",
      "Ticket      891 non-null object\n",
      "Fare        891 non-null float64\n",
      "Cabin       204 non-null object\n",
      "Embarked    889 non-null object\n",
      "Name_Len    891 non-null int64\n",
      "dtypes: float64(2), int64(5), object(5)\n",
      "memory usage: 90.5+ KB\n"
     ]
    }
   ],
   "source": [
    "titanic_data.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [],
   "source": [
    "titanic_data['Age_Category'] = titanic_data.Age.map(lambda age: 'Kid' if age <=18 else 'Adult' )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "    .dataframe thead th {\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Survived</th>\n",
       "      <th>Pclass</th>\n",
       "      <th>Name</th>\n",
       "      <th>Sex</th>\n",
       "      <th>Age</th>\n",
       "      <th>SibSp</th>\n",
       "      <th>Parch</th>\n",
       "      <th>Ticket</th>\n",
       "      <th>Fare</th>\n",
       "      <th>Cabin</th>\n",
       "      <th>Embarked</th>\n",
       "      <th>Name_Len</th>\n",
       "      <th>Age_Category</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PassengerId</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Braund, Mr. Owen Harris</td>\n",
       "      <td>male</td>\n",
       "      <td>22.0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>A/5 21171</td>\n",
       "      <td>7.2500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>23</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>Cumings, Mrs. John Bradley (Florence Briggs Th...</td>\n",
       "      <td>female</td>\n",
       "      <td>38.0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>PC 17599</td>\n",
       "      <td>71.2833</td>\n",
       "      <td>C85</td>\n",
       "      <td>C</td>\n",
       "      <td>51</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>Heikkinen, Miss. Laina</td>\n",
       "      <td>female</td>\n",
       "      <td>26.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>STON/O2. 3101282</td>\n",
       "      <td>7.9250</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>22</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>Futrelle, Mrs. Jacques Heath (Lily May Peel)</td>\n",
       "      <td>female</td>\n",
       "      <td>35.0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>113803</td>\n",
       "      <td>53.1000</td>\n",
       "      <td>C123</td>\n",
       "      <td>S</td>\n",
       "      <td>44</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Allen, Mr. William Henry</td>\n",
       "      <td>male</td>\n",
       "      <td>35.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>373450</td>\n",
       "      <td>8.0500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>24</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Moran, Mr. James</td>\n",
       "      <td>male</td>\n",
       "      <td>28.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>330877</td>\n",
       "      <td>8.4583</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Q</td>\n",
       "      <td>16</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>McCarthy, Mr. Timothy J</td>\n",
       "      <td>male</td>\n",
       "      <td>54.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>17463</td>\n",
       "      <td>51.8625</td>\n",
       "      <td>E46</td>\n",
       "      <td>S</td>\n",
       "      <td>23</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Palsson, Master. Gosta Leonard</td>\n",
       "      <td>male</td>\n",
       "      <td>2.0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>349909</td>\n",
       "      <td>21.0750</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>30</td>\n",
       "      <td>Kid</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>Johnson, Mrs. Oscar W (Elisabeth Vilhelmina Berg)</td>\n",
       "      <td>female</td>\n",
       "      <td>27.0</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>347742</td>\n",
       "      <td>11.1333</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>49</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>Nasser, Mrs. Nicholas (Adele Achem)</td>\n",
       "      <td>female</td>\n",
       "      <td>14.0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>237736</td>\n",
       "      <td>30.0708</td>\n",
       "      <td>NaN</td>\n",
       "      <td>C</td>\n",
       "      <td>35</td>\n",
       "      <td>Kid</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>Sandstrom, Miss. Marguerite Rut</td>\n",
       "      <td>female</td>\n",
       "      <td>4.0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>PP 9549</td>\n",
       "      <td>16.7000</td>\n",
       "      <td>G6</td>\n",
       "      <td>S</td>\n",
       "      <td>31</td>\n",
       "      <td>Kid</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>Bonnell, Miss. Elizabeth</td>\n",
       "      <td>female</td>\n",
       "      <td>58.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>113783</td>\n",
       "      <td>26.5500</td>\n",
       "      <td>C103</td>\n",
       "      <td>S</td>\n",
       "      <td>24</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Saundercock, Mr. William Henry</td>\n",
       "      <td>male</td>\n",
       "      <td>20.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>A/5. 2151</td>\n",
       "      <td>8.0500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>30</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Andersson, Mr. Anders Johan</td>\n",
       "      <td>male</td>\n",
       "      <td>39.0</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>347082</td>\n",
       "      <td>31.2750</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>27</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Vestrom, Miss. Hulda Amanda Adolfina</td>\n",
       "      <td>female</td>\n",
       "      <td>14.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>350406</td>\n",
       "      <td>7.8542</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>36</td>\n",
       "      <td>Kid</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>Hewlett, Mrs. (Mary D Kingcome)</td>\n",
       "      <td>female</td>\n",
       "      <td>55.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>248706</td>\n",
       "      <td>16.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>32</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Rice, Master. Eugene</td>\n",
       "      <td>male</td>\n",
       "      <td>2.0</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>382652</td>\n",
       "      <td>29.1250</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Q</td>\n",
       "      <td>20</td>\n",
       "      <td>Kid</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>Williams, Mr. Charles Eugene</td>\n",
       "      <td>male</td>\n",
       "      <td>28.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>244373</td>\n",
       "      <td>13.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>28</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Vander Planke, Mrs. Julius (Emelia Maria Vande...</td>\n",
       "      <td>female</td>\n",
       "      <td>31.0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>345763</td>\n",
       "      <td>18.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>55</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>Masselmani, Mrs. Fatima</td>\n",
       "      <td>female</td>\n",
       "      <td>28.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2649</td>\n",
       "      <td>7.2250</td>\n",
       "      <td>NaN</td>\n",
       "      <td>C</td>\n",
       "      <td>23</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>Fynney, Mr. Joseph J</td>\n",
       "      <td>male</td>\n",
       "      <td>35.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>239865</td>\n",
       "      <td>26.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>20</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>Beesley, Mr. Lawrence</td>\n",
       "      <td>male</td>\n",
       "      <td>34.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>248698</td>\n",
       "      <td>13.0000</td>\n",
       "      <td>D56</td>\n",
       "      <td>S</td>\n",
       "      <td>21</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>McGowan, Miss. Anna \"Annie\"</td>\n",
       "      <td>female</td>\n",
       "      <td>15.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>330923</td>\n",
       "      <td>8.0292</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Q</td>\n",
       "      <td>27</td>\n",
       "      <td>Kid</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>Sloper, Mr. William Thompson</td>\n",
       "      <td>male</td>\n",
       "      <td>28.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>113788</td>\n",
       "      <td>35.5000</td>\n",
       "      <td>A6</td>\n",
       "      <td>S</td>\n",
       "      <td>28</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Palsson, Miss. Torborg Danira</td>\n",
       "      <td>female</td>\n",
       "      <td>8.0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>349909</td>\n",
       "      <td>21.0750</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>29</td>\n",
       "      <td>Kid</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>Asplund, Mrs. Carl Oscar (Selma Augusta Emilia...</td>\n",
       "      <td>female</td>\n",
       "      <td>38.0</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>347077</td>\n",
       "      <td>31.3875</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>57</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Emir, Mr. Farred Chehab</td>\n",
       "      <td>male</td>\n",
       "      <td>28.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2631</td>\n",
       "      <td>7.2250</td>\n",
       "      <td>NaN</td>\n",
       "      <td>C</td>\n",
       "      <td>23</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>Fortune, Mr. Charles Alexander</td>\n",
       "      <td>male</td>\n",
       "      <td>19.0</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>19950</td>\n",
       "      <td>263.0000</td>\n",
       "      <td>C23 C25 C27</td>\n",
       "      <td>S</td>\n",
       "      <td>30</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>O'Dwyer, Miss. Ellen \"Nellie\"</td>\n",
       "      <td>female</td>\n",
       "      <td>28.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>330959</td>\n",
       "      <td>7.8792</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Q</td>\n",
       "      <td>29</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Todoroff, Mr. Lalio</td>\n",
       "      <td>male</td>\n",
       "      <td>28.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>349216</td>\n",
       "      <td>7.8958</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>19</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>862</th>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>Giles, Mr. Frederick Edward</td>\n",
       "      <td>male</td>\n",
       "      <td>21.0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>28134</td>\n",
       "      <td>11.5000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>27</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>863</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>Swift, Mrs. Frederick Joel (Margaret Welles Ba...</td>\n",
       "      <td>female</td>\n",
       "      <td>48.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>17466</td>\n",
       "      <td>25.9292</td>\n",
       "      <td>D17</td>\n",
       "      <td>S</td>\n",
       "      <td>51</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>864</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Sage, Miss. Dorothy Edith \"Dolly\"</td>\n",
       "      <td>female</td>\n",
       "      <td>28.0</td>\n",
       "      <td>8</td>\n",
       "      <td>2</td>\n",
       "      <td>CA. 2343</td>\n",
       "      <td>69.5500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>33</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>865</th>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>Gill, Mr. John William</td>\n",
       "      <td>male</td>\n",
       "      <td>24.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>233866</td>\n",
       "      <td>13.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>22</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>866</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>Bystrom, Mrs. (Karolina)</td>\n",
       "      <td>female</td>\n",
       "      <td>42.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>236852</td>\n",
       "      <td>13.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>24</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>867</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>Duran y More, Miss. Asuncion</td>\n",
       "      <td>female</td>\n",
       "      <td>27.0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>SC/PARIS 2149</td>\n",
       "      <td>13.8583</td>\n",
       "      <td>NaN</td>\n",
       "      <td>C</td>\n",
       "      <td>28</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>868</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>Roebling, Mr. Washington Augustus II</td>\n",
       "      <td>male</td>\n",
       "      <td>31.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>PC 17590</td>\n",
       "      <td>50.4958</td>\n",
       "      <td>A24</td>\n",
       "      <td>S</td>\n",
       "      <td>36</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>869</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>van Melkebeke, Mr. Philemon</td>\n",
       "      <td>male</td>\n",
       "      <td>28.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>345777</td>\n",
       "      <td>9.5000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>27</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>870</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>Johnson, Master. Harold Theodor</td>\n",
       "      <td>male</td>\n",
       "      <td>4.0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>347742</td>\n",
       "      <td>11.1333</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>31</td>\n",
       "      <td>Kid</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>871</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Balkic, Mr. Cerin</td>\n",
       "      <td>male</td>\n",
       "      <td>26.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>349248</td>\n",
       "      <td>7.8958</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>17</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>872</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>Beckwith, Mrs. Richard Leonard (Sallie Monypeny)</td>\n",
       "      <td>female</td>\n",
       "      <td>47.0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>11751</td>\n",
       "      <td>52.5542</td>\n",
       "      <td>D35</td>\n",
       "      <td>S</td>\n",
       "      <td>48</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>873</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>Carlsson, Mr. Frans Olof</td>\n",
       "      <td>male</td>\n",
       "      <td>33.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>695</td>\n",
       "      <td>5.0000</td>\n",
       "      <td>B51 B53 B55</td>\n",
       "      <td>S</td>\n",
       "      <td>24</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>874</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Vander Cruyssen, Mr. Victor</td>\n",
       "      <td>male</td>\n",
       "      <td>47.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>345765</td>\n",
       "      <td>9.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>27</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>875</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>Abelson, Mrs. Samuel (Hannah Wizosky)</td>\n",
       "      <td>female</td>\n",
       "      <td>28.0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>P/PP 3381</td>\n",
       "      <td>24.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>C</td>\n",
       "      <td>37</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>876</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>Najib, Miss. Adele Kiamie \"Jane\"</td>\n",
       "      <td>female</td>\n",
       "      <td>15.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2667</td>\n",
       "      <td>7.2250</td>\n",
       "      <td>NaN</td>\n",
       "      <td>C</td>\n",
       "      <td>32</td>\n",
       "      <td>Kid</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>877</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Gustafsson, Mr. Alfred Ossian</td>\n",
       "      <td>male</td>\n",
       "      <td>20.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>7534</td>\n",
       "      <td>9.8458</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>29</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>878</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Petroff, Mr. Nedelio</td>\n",
       "      <td>male</td>\n",
       "      <td>19.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>349212</td>\n",
       "      <td>7.8958</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>20</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>879</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Laleff, Mr. Kristo</td>\n",
       "      <td>male</td>\n",
       "      <td>28.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>349217</td>\n",
       "      <td>7.8958</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>18</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>880</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>Potter, Mrs. Thomas Jr (Lily Alexenia Wilson)</td>\n",
       "      <td>female</td>\n",
       "      <td>56.0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>11767</td>\n",
       "      <td>83.1583</td>\n",
       "      <td>C50</td>\n",
       "      <td>C</td>\n",
       "      <td>45</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>881</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>Shelley, Mrs. William (Imanita Parrish Hall)</td>\n",
       "      <td>female</td>\n",
       "      <td>25.0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>230433</td>\n",
       "      <td>26.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>44</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>882</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Markun, Mr. Johann</td>\n",
       "      <td>male</td>\n",
       "      <td>33.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>349257</td>\n",
       "      <td>7.8958</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>18</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>883</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Dahlberg, Miss. Gerda Ulrika</td>\n",
       "      <td>female</td>\n",
       "      <td>22.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>7552</td>\n",
       "      <td>10.5167</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>28</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>884</th>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>Banfield, Mr. Frederick James</td>\n",
       "      <td>male</td>\n",
       "      <td>28.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>C.A./SOTON 34068</td>\n",
       "      <td>10.5000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>29</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>885</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Sutehall, Mr. Henry Jr</td>\n",
       "      <td>male</td>\n",
       "      <td>25.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>SOTON/OQ 392076</td>\n",
       "      <td>7.0500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>22</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>886</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Rice, Mrs. William (Margaret Norton)</td>\n",
       "      <td>female</td>\n",
       "      <td>39.0</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>382652</td>\n",
       "      <td>29.1250</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Q</td>\n",
       "      <td>36</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>887</th>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>Montvila, Rev. Juozas</td>\n",
       "      <td>male</td>\n",
       "      <td>27.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>211536</td>\n",
       "      <td>13.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>21</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>888</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>Graham, Miss. Margaret Edith</td>\n",
       "      <td>female</td>\n",
       "      <td>19.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>112053</td>\n",
       "      <td>30.0000</td>\n",
       "      <td>B42</td>\n",
       "      <td>S</td>\n",
       "      <td>28</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>889</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Johnston, Miss. Catherine Helen \"Carrie\"</td>\n",
       "      <td>female</td>\n",
       "      <td>28.0</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>W./C. 6607</td>\n",
       "      <td>23.4500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>40</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>890</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>Behr, Mr. Karl Howell</td>\n",
       "      <td>male</td>\n",
       "      <td>26.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>111369</td>\n",
       "      <td>30.0000</td>\n",
       "      <td>C148</td>\n",
       "      <td>C</td>\n",
       "      <td>21</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>891</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Dooley, Mr. Patrick</td>\n",
       "      <td>male</td>\n",
       "      <td>32.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>370376</td>\n",
       "      <td>7.7500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Q</td>\n",
       "      <td>19</td>\n",
       "      <td>Adult</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>891 rows × 13 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "             Survived  Pclass  \\\n",
       "PassengerId                     \n",
       "1                   0       3   \n",
       "2                   1       1   \n",
       "3                   1       3   \n",
       "4                   1       1   \n",
       "5                   0       3   \n",
       "...               ...     ...   \n",
       "887                 0       2   \n",
       "888                 1       1   \n",
       "889                 0       3   \n",
       "890                 1       1   \n",
       "891                 0       3   \n",
       "\n",
       "                                                          Name     Sex   Age  \\\n",
       "PassengerId                                                                    \n",
       "1                                      Braund, Mr. Owen Harris    male  22.0   \n",
       "2            Cumings, Mrs. John Bradley (Florence Briggs Th...  female  38.0   \n",
       "3                                       Heikkinen, Miss. Laina  female  26.0   \n",
       "4                 Futrelle, Mrs. Jacques Heath (Lily May Peel)  female  35.0   \n",
       "5                                     Allen, Mr. William Henry    male  35.0   \n",
       "...                                                        ...     ...   ...   \n",
       "887                                      Montvila, Rev. Juozas    male  27.0   \n",
       "888                               Graham, Miss. Margaret Edith  female  19.0   \n",
       "889                   Johnston, Miss. Catherine Helen \"Carrie\"  female  28.0   \n",
       "890                                      Behr, Mr. Karl Howell    male  26.0   \n",
       "891                                        Dooley, Mr. Patrick    male  32.0   \n",
       "\n",
       "             SibSp  Parch            Ticket     Fare Cabin Embarked  Name_Len  \\\n",
       "PassengerId                                                                     \n",
       "1                1      0         A/5 21171   7.2500   NaN        S        23   \n",
       "2                1      0          PC 17599  71.2833   C85        C        51   \n",
       "3                0      0  STON/O2. 3101282   7.9250   NaN        S        22   \n",
       "4                1      0            113803  53.1000  C123        S        44   \n",
       "5                0      0            373450   8.0500   NaN        S        24   \n",
       "...            ...    ...               ...      ...   ...      ...       ...   \n",
       "887              0      0            211536  13.0000   NaN        S        21   \n",
       "888              0      0            112053  30.0000   B42        S        28   \n",
       "889              1      2        W./C. 6607  23.4500   NaN        S        40   \n",
       "890              0      0            111369  30.0000  C148        C        21   \n",
       "891              0      0            370376   7.7500   NaN        Q        19   \n",
       "\n",
       "            Age_Category  \n",
       "PassengerId               \n",
       "1                  Adult  \n",
       "2                  Adult  \n",
       "3                  Adult  \n",
       "4                  Adult  \n",
       "5                  Adult  \n",
       "...                  ...  \n",
       "887                Adult  \n",
       "888                Adult  \n",
       "889                Adult  \n",
       "890                Adult  \n",
       "891                Adult  \n",
       "\n",
       "[891 rows x 13 columns]"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "titanic_data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import make_regression\n",
    "X,Y = make_regression(n_features=1, noise=30, n_samples=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LinearRegression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [],
   "source": [
    "lr = LinearRegression()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LinearRegression(copy_X=True, fit_intercept=True, n_jobs=None, normalize=False)"
      ]
     },
     "execution_count": 101,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.fit(X,Y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([39.01524407])"
      ]
     },
     "execution_count": 102,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.coef_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.9978007565814663"
      ]
     },
     "execution_count": 103,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.intercept_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([41.91896772])"
      ]
     },
     "execution_count": 104,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.predict([[1.1]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {},
   "outputs": [],
   "source": [
    "pred = lr.predict(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fd19e8c2898>"
      ]
     },
     "execution_count": 107,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ksQgpRjg7uRfc2i8maibrdt1QMfyh8hgiRRuZx9tNRUDYbObMDz6AH15F67/+RUZrK03lO/D94Ulap19PxpJn6HXxeRGfLZH9koXUoyOUgQbeVEpp4Amt9WKgn9Z6D4DWeo9S6ni3E5VSM4AZAEOGDOmAoQqpQDxq28Rq0/YqCN2ijNwURH2Dzwo3dQv/DPcM5vHji/pxyqDdNPma6eF3GDvH21pTw6Cf38Yx2zYAbYlETSteY9k1t/HA1b9jbuaAAOdwpPtDYt+hkBp0hDI4R2u92y/w31JKbfV6ol9xLAYoLi52T6UU0o541LZxc/RGI9ii9TuEy+i1KwK38M9wz2BmEZurpFDnLivZxWtP/Z2Xlt3NUYe/tra3ANXZvXnnjofCltQOdX/7Z7SIk7lzkXBloLXe7f/cq5T6H+BMoFop1d+/KugP7E30OITUI5RwtTtp21vbxunojVawuQlOe5KXmVzm7F1gLwlhD0c1FYFb1FC495CdlckDK7fyadUB1pTVsHZbDacPzQ1UCi++yI0//CE3HjlirQRagaqBBUybeDv5Y0+z7jvzggKrxWSjrzlsSKrXKKVI71CczJ2DhCoDpVQOkKG1Puj//i3gPmA5MA140P/5SiLHIaQm7Z05RhJMFTWHuH9FqdXYvT2CzCk4ITDJyzRjuQn3cOGoXgrf2bErJTB6FK8rrzP8BUfVwJVXwhdfBNSVaQU+mD6H4x+6n6tcfC72SqpeC+61599KcgU6GV49ze35AYYDn/h/tgC/8G/vA6wGtvk/cyNdS6KJ0g9n5IvXyJrrn/4gbGSQuf/6pz/QWnuLJAp1b7ftmyrr9Wn3vRFwTfMe1z/9gS7fe9DztbTWunzvQeu8cMfWHTqsf71ii771vhd106girSH4Z/FiT+/R7R7h3pM9osnLtYXUgFSJJtJabwdOddleB4xL5L2F1Mc5c/Qy+/RSmrnw+J4cadFWY3cv5opoSkMsfHsb9Q1HKMjLCbi26fAeM7zadfxLN+ywEtCmjR1mRUzNe2UL68prOWXQbm655ET/sZUsWL2NRl+LtQ3g+Jf+xJ3PPkim7bpfH51N97y+ZL70IvX/9k1PdZHcni3ce3JbKcmsP72QDGQhZXAKI6e5x9wXqTTz4rU7mDtxlHVOKHOFp5r+Ltx8cSFf1Dfyn98pCjCrPHrFaOt3t3vYE9DsEVPrymsBaPI1W/6JtuczPg+8vRZ12WX86GC9ZRJqAV4rHMsvJ9zErO+fxcwxBSx7t8JTXSQ3vJh1xA+QvogyEFIGpzC6f0Wpf4ZbypLpZ1rHmE5Vtw5ekYSVXcG0laBus+272cydtvR3P6+hoqaBp9btsAR5qHPtK45pY/MxhbtZj8gMFzW2K9uxw8jO6saErAPU9x/Mcf+qCnAO+0YV8YtrfknOKScxtVum1d5yfFE/Nm6v4+7JRRLOKUSFKAMhZTHMPKWWucfEiznDjl2Y2xXMo1eMDrhOKFNR8HZDoB9paWHOuBEBkUbOc53O4+ysblapa/M40wxUUXOIT6v2M76oH7lNXzHz2f+i5ZlnyGxtta7XqhQZTzzB0hMv5q8rtzL3uB5WS01QZGdlWqaq3sVZcY/zl3DR9EWUgdChRBPZU5DX01oR2Ikk8MNFwpgK5uaLC4OOD6VknNunjR1mhXpePKpf2Axnt1pGG7fXWSsD+7hXlVazpqyGn6y4Cf72LIDlG2gFvj73PLL/52/Qty9T/U1fphYPZumGHf6jdFAp7XgLbjETpS+iDLo4HZ0lmqiZZaTwzEZfM42+FnpnZ7Fk+pmujtBwcfVOp7KpVEyhvq/Rx3uf11DX4GNWmI5fpsAfM7yaggt6BvgO7u9RxbSF08hqPNR2QmYmTUcdzY2T7uD0GVdxi7+gnH1MF5x4PK9s3s2+hiMBz5MIwS3houmLKIMuTkcv+zuyRpCJKZgNU4rmlktGBs3QnUR6L06hfv+KUtZX1LG+oo4+LgLT9FXcfHFgKYqpxYM58vzz3HDjfRzVEpg0ljF0KLzxBvPLW1i3dgdFvmbXsS58exuVdY1U1u2kd053K5FMEKJBlEEXp6OX/e2ZWUaq0W9vuhKKpiOG3X3ttlqafK2U7jnAuvI6Thm0OyibGALNOV4a2Nw9uQhf82ecNLAX44v6Mf+tMpqOtNKjewZTRg9kxrMlVNQ0ALSZvl5/ndzvf5//19gYoAS+zs5h5c/nc9FPp5Gbk0WPLz4HoEeW+3/XuycXcaRlC0X9j8HuhAbCltQApHaQYCHKoIvTGZb94Wbp4UpE2OnR3RC3H3+xn4+/2A/ARSPzaPI7X9duq+V3V59mnWuf+QMBDWzskUPQ1snszzeOsX43q5ICfFp1gIqaBgrycrj54kKWvvIRVyy6h6Nef40MCAgVfeyn8+k2aSILVpcz19/jYMroAXxatZ8powe4vp+CvJ489+OzAPxdzzIDlHuoiqoQrCyErosoAyHlCbd6cZaIAHfBNm3sMEoq97G+oo6zhvVmzPA+TBs7zHK+riuvtZLA3Mw5Zm6D0zELwQLV9FHYVwZjhlczvqgfa372a65/9sGA/3itQEO3o7lv2r0sO6qQGb5WLhqZZ5mwnCYp50rJWLnsABTTxuaHLS3h9i5D5UXIaqFrIcpASArRCB2vjerD2cpzc7JYeM03Wbphh2UyAkNJGCimFg8OyN61RzLZs4DtJqTe2YGRSOZzmeYkk4JNi2m98DaGQYBJqLFXLvuef4nXsvOZVdSPEaXV1B3ysaashlMGfcktl4yMWIHVaL1prETMkFWvGdWhVlpu+4T0RpSB0KG0NWxpsUwv7RU64SJ+QrFp534rUcxMWrP3Jg6V22DHPlN3lqsOEqYbN8Jll0F1daBz+OSTyXj5ZXqOHImvwQclu+idbTzD/Lc+9x9pZCw7eyaYKwazQmqjr5kZ5w2nh8081F5fkISOdl0yIh8idDVMoVPvj2Vvz/nz3ypj/lufB12jTVhqTw1ewmFea1nJLs/Hm4rgzPzeNPpagsZn5jaYpSycGMK3LdnMyfiiflw0Mo9v9cuE734Xzj4bqqut/a3Av66/Ef7xDxhpKKGlGyp5YOVWv5PayFSeO3EUU0YPCPh3MJ/X7P62rGSXv4ZROdv2HvRnOBs+CzCUUbSmHlPxtNdEFOvfjpA8ZGUgBBGrqcDNbGESqZxzNITrIRDq+EZfC02+Zkr3HLQ5hUM7nk2cK5q5E0e5Hr+qtJrBzy5m6I/+GLC9FWjs3YdrvzOXSddf5ug0FliHyBTI898qswrbOc1FbV3QRnDRyDzWlNVYSvGBlVt57/MaivNzPTfSiRdiZuq8iDIQgogUgx9J8I4v6sd7n9dw0sBeETNyY8F+rflvfe5a5dMc79INlTT5mkEptuz+ivUVdf5oomb/eW2VRMNlMc8ZNyL0iubJJ7lx1ixobQ0wCR3J6Mabdz7EOb+YzSRHITtoq0MUfE0V8Gl/Xjc/gvndrJ66vqIubJ/kRCBmps6LKAMhCGf0ipNI4ZyrSqtZX1HH+SfmJWRW6q6MtOOzDbMctB2z65hpmgEVsmw0GApu7bYamnytTBvrUBYvvghXXw1aByiBfUOGs3ze77n38xZmnDOc3f5oJefYQynIaWPzg8JETcI5go3nMqKLOlood4ZQZcEdUQZCEJFmd85wTqdSMPe79dp1hkG2R1m4mSKcs2u7wmjytVjn2sNKc3OyAgSuvcaPk1Wl1awrr2NdeR19ema1OYcnTYJ9+wKObe3enbfmPsIZd/wHlwL7N+xg7bZaPv5iP29v3csHO+oDxh4Kp2D1GoGVm5MV4BSPFQk37RqIMhCCiDS7c4ZzOmP8wzVCCedP8Jod66asTCVknrPonXIWr91B3aHD9Mgyyr2dU9CHhdd8M0AxBfYfUMw4bxigqKg5ZDlqc3OyrJVBUf9eXF1fCj1OpvXrr4MjMGbPJmPhQr5t25Sd1c1KdAvlOPcicO1KMFTJ7EQgfoCugSgDod1EivF3Cm0zEscUuGY0jynM3JK53ExRuTlZnJGfy9RFG3jkB6fyzaG9g84v3XMQgDdLq/nj9WeQndWNM/Jzue2lzVazHOf9FqzeZjljP63aH9AtzFwZzHl7Ccc+vxgIzBfIuOAC9i39C898foimV0vpkdXNWvlMLR5MXYOPLV8e4L7LTg6IVGpzTDdbSjKUwE10RdJQiB+ga6CMNpmpT3FxsS4pKUn2MIQwRJrdmiuFi0bmccqg46yoHGfdnPFF/Vi++UsMx6k2SjPYjgM498G3qdrfxKDjerDurov5eOc+bnlxMxeMzOOn409kX6PPqgd0TkEfivNzKamsZ31FHQV5OSybNRbAdj+jwcyU0QNZVWpkC9tXBoduu4Psxx4BApVAU84xNC9/lZazzgpIWAOCxuz2jsx3Mmdcoav/JdQ7ddsu5hzBiVJqk9a62MuxsjIQ4kak2erU4rY+wacM6hVgLrELMtOU5CwHYTfdHH/sUVTtb7IE6l8++IKd9Y2sL6/lvktPJjcni2WzxloCen1FHdeNGUrpnq+oqGlg0bsV/npFiuWbd7Ng9TbOHdEHUEwZPaBNEfxlKcyaRU97gxlAK8Udl9zEoJ/NJjuzG40bdrCmrIZzR/SlqP8x9AiRDe18R2bk1pTRA1xzG+wlrh+9YnRYp7OYc4RYEGXQxYk0m4xmthnJnODsE+zWHnLj9jpuvrjQqs1j7w5mN908MvVU7l9RSuHxPXlg5VauO3so68treeQHpwbdz3RYg2Zfo1Hzf8uXB1hfUQfAjPOGW+ahdeV1fFq1n6P+569Me+23tLb4AvwCrcCmb32f3Oee4cTSahp9LdbM3lRe4d6TMzfCrfOa/f1MLR7M2m21rCmrYemGyqAop2jef3uQ1UbXQZRBFyfSbDKa2aaXsMJQx9hXDUBAaKs9OmnM8DbTzZLpZ1Lf4KNPz6OYWjyY+y492bqeXYiZkTUf79zH3z7+krxjsrjxvOF8ub+JyrpGemRlcPfkIhp9n3LMoQM8+Moj5P7vy0FKIOM73+FPN85j3vt7uWhFm/C2m3fMDFw3J7ibiWhNWQ0FeTlBSWP2991myg1v0o13eXBz/F7+/UVpdH5EGXRxvIaRJtp5aF812IW+uc8URG55D2605UI0W87thW9vY9e+Jnbta2Lp+5VU1jVy0cg8K9nsp7+cxll7y4OUQEn/UWya9xv+Y+Z3OLfmEAXlDZbwDlebyHQKmxnETsFqV3LLN39Jo6+FKaMHUHfoMGu31Vp+CzNBrq2oXvzwYtqzf7b3OkLqI8qgi+Oln3C8/nOb3b7MaB7nvUzMgm3hxmTiJoTs9YPszV5uvriQ7TUNXDAyj2lj89tWGVU7mPaj75C1tyLAOezL6MYTP/pP5vc5nTnDCwEj36CipoGLRua5lsGwC89F/hpBZpVUp2C1v1vTFJadlcm2vYdYV17L/bbVR6IcxV5Me17+/SXiqPOTNGWglJoALMDo+f2U1vrBZI1FCCSWWZ49IsgejVPf4LN1+yq1ykO7h5O2zebdwk5D1Tqyj3/B6m3MGVdIk6+Zc0f05Yz8XBa+vY2d9Y0MPK4HvbOzyH97Bcddcgcc8XG0/1zTTdx49z38efy/M7moH0eXVgfdZ3xRP5Zu2GFVQV27rYbTh+Za/QSgraGO+emsPmp/Pvv1jTIghtJMtKM4XspeMo87P0lRBkqpTOD3wCVAFfCRUmq51ro0GeMRAmebsczy7I5g0/4/tdjoE2B2+7KXhw40lexmzrgRNPlaWbB6q2VesR8XqdaRWdJ5zrhCQLN47Q5r37ryWs4d0Yer60s5qncRlxwJdg4/PPZajrrnP43CcDbF5lwpmUXkAArycqzsZHsinT0r2q4k25zGbcLc/hymPyQUMgsXEkGyVgZnAuVa6+0ASqkXgEsBUQZJwjnb9DrLC2UmGV/Uj1MG7abR18zSDZWsKaux6gHZTRvmOWYI6NyJozAaQEJbobbgDGM3h6z5HM6wVFA0+Zr58oPN/G7BlfT8uiEwc1gpuPxynrjqZywqqWOO/75uis2c2W/aaZSgOHdEX+699CQrL8KZFW0ef/NfPmZ9RR3vfV5j+QDsx0aTTxBpFu61Z7Q4egU7yVIGAwF7EfpVb9sMAAAgAElEQVQq4CznQUqpGcAMgCFDhnTMyDoh7f0PHo/VgFOJBNrBM10rfTpNJKayOHdE34D7N/mamf/W51Ymr1uHrwdWbqXukI9tew9y9+SioOcwZ+ZZV1zOXa+9GrQS+LJoNIPffQv69uXKBh8ZebuCruF0aBt9EQyBfvPFhWH9ILk5WSzdsMMKYz1pYC/OPzHPk+8j3PZo/k287hO6NslSBsplW1DcnNZ6MbAYjAzkRA+qs9Le/+DtXQ3YCadE7PtMwedWr8itnn92VmZAvwF79I1pdjHNQZt21rOuvI4v6ktYNmustYJo9DVTtvBpbljxCBmOiqLNKN586CnG3vTvEGLG7Yxicus0Zq5ozHu7KS3zz/2sYbn06J4ZpBSBkA1z2qOkvf6bCIKdZCmDKsD+1zgI2J2ksXQq3FYB7f0PHu150Zos3Pa53XPa2GGWI9ZMrJpa7G8q72sNqGFkXu+JdytYsLqci0bmceslI9lz4BMqahqsWP3P/+u3PPzWf6N0a9BqoOKbY8l4/Q2+LK0mFKFMUE5FdvfkIr6oNxzjSzdUkp2VGaAsjOczKqOajXGy/YXzzNpLZjKdW8Oc9jhmo/03ieYdCOlLspTBR0ChUmoY8CVwFXBNksbSqXATSB0VyREqjNOLwLAfZz/X6CegGd43m3XlhmnIJDurG2AI0E+r9lv+BnNVcO6Ivv7ktD4smzWWpRt2kFXyId//1c30PFAXpAS2FpzMtZPmMuv7Z0FpdUAhPNOBbZS71pTuOWi1yDTt/uZKxK7ICvJ6smzWWJaV7KLukM+1H0JgQb/A/gSNvmbLn5Jqs3UxKXUtkqIMtNbNSqnZwBsYoaVPa623JGMsnY14LvOj/c9uzNZbaPQ1WzN1r2WV3e5lhoCC4YgF6JHVLeB4e1vH217abCWmLVhdzpxxIziv0PAzZHz+Od+98QqG7fwnmbb7tgKN3Y5i+X8uYMJt05nlyGkwy2/bncQmZkmMJ96toO6Qj8Vrt3Pd2UMDKp9CYJtKA3eLpltDGmfFV6c/xUlHztbFpNS1SFqegdb6NeC1ZN2/sxLPVUCk9pZu9zadwtlZ3YLs+OGUy9TiwdQd8rF2Ww3ji/rROzvLX856OD2yMpgyeqBVObS+wWcpHtD+UNRSK+s3yBdRVobvrGJGHDls3a8VyOjenYXT7mZ+n9M5d0AfJmDY5pdu2MGU0QMBmDJ6INlZ3Rhf1I8jLVus1cC5I/paiueBlVv9Rexgzda97NrXxJGWz3jux2MCnjFcg51Qgttp+gqVZ2HSkbN1yR3oWkgGchcmVHvLUIlj0H7nZG5OFtv2HmRdeR33ryhlzPA+QSWsnYrG/P3TqgPcPbkooC7RzAsK4MknYeZM0BpTZLYCGccey6FnnuP53CLOy89l89vbuHtyUUD7y0+rDrCmrCagGui9l57EvFc+o6h/L2ZdWBAUKruqtJqKvYfYtamK4S4VRp3CM9yqKZzvxyx+B+5K1e0di31fiBVRBl2YUIIlVHw9BGfRmk5Rt+s4MWf4d08uond2VtA5zvFMLW4rXmcqgmUlu5hStpa8WTeQ4eIc/uTy6xj67JPWM8ydOMqWwGWYb84p6BO02rA3sDmvsK13szOiyDQF9c7uHvH92ldeocJiQ71br72PTcS+L8SKKIMuTLgKohAcX2/HbtM3cwicDeWds9WCvJ4BmbVeKpzaS16/8uLbnH3X/6NfzY4gJXAgrz8P/XQBL3yVzVz/8U7/ht2M01beutI6JpTZzO7ovuDE4/m06gCnDe7NtU9u5KSBvZjlz69wYl95ueUuhLpXe2b4Yt8XYkWUgWDhFvETqkqoGfppZt0agiswXyBU9JHZXyCgiYxrfH4bh//8F66bOT3IOew793xe/NlvqM8+lhf8oabm9ZxmJqfJy+kDgcDS2W4tKU3z0o7aBirrGllfUUcf24w+VNE6u+K19zFwmujaO8MX+74QK6IMBAu3ss/hHJ/2SpuG4FPMGTfCKrVsn/26C9bAPsP2WbMZVVN28x38eMkCFI6ew/37k/G3v3H0mDFMg4CoHLfwU9MkBIH2e7cZtT3T+IGVWzlrWC5nDcvl1EG9uPLMIYwZXs2X+5qorNvJWcNyg443nyecSSdUOKnbeKJdLYj/QGgPogw6GYn8j24K76YjRqE4CD87dUYSmQ5hc1x2MwlgdQQzS0tPGT2AMcOrA4T/zAsKeOLdCl576u9c+537OKvhq8Cy0j1y8P35eY793neNd2ELxbSPdemGHSxYXc6M84ZxXmHfAJOXuc8shOcM97Q/n91vkp2VaZXXrqg5xK59jVZlUef7CIdbZrYbbQq0zS/jtgJxIv4DoT2IMuhkJOo/ut104exPbO53yz42FYEz69b+3bnNLsB6F2fxk+f/j3XltYav4Zh6bvjut7nxYKASAFh/3Wx+2H8Cc3NHMZNIKxmjBETpnq/43dXfNHwWljlGOT7dsfsVSirrg5zNTjOPV1NNuOPcSno7azvFqyGNINgRZdAJiFd56XDYTRemmccu/O0RRvbKo+EEk1uSldt915XXcuqXW5lx2ZXQ2BDwR9kKNN56Oz0ffZiTGnyWcxjCh2JOG5tvmaHsPZCnjR1mlYfwEp5pOJ7zASjO7+0a8dRevJYWcSpQL+GlsiIQokZr3Sl+Tj/9dN1VWfROuR565wq96J3yhN2j7tBhveidcl136LDrPesOHdbXP/1B0DjqDh3Wj725Vf96Ral+7M0y6/xQ1y/fezDgPuV7D+pl37pWt4DWjp/mo47S//vQH0NeM9TYndt//WqpHnrnCmvsoY4P9Z6jef+hru3GY2+W6aF3rtCPvVkW8VgvdMTfidC5AEq0RxkrK4NOgJdZaKy+BGf+gNPs4wzztN8TFIvXbgfamsOHKvIWkLtwQjM9L53K5WX/CHQODxrE/uUruWVzI2vKapjjmNkDLHqnnNI9B7n30pMoyOvpOhN2lok4p6BP2ExpNwe2MyooEtGZ8bw1uveKmIeEWBBl0AnwYouOly8hXNZsqAzbOeNGWE7hUMLWLmi/X/MSEyddAY2NmFH2rUArimeuu5PL//tev9lqJxeNzKPpSCuL3zOUTZOvhdVb9/rbZ8K8V7ZY9YnMKCLTLGT2QXDmF0SK2AkVFeTWrtJJNALZWb4iViS8VIgFUQZpQjghFGnVEMonEY2jMpJNOzcni5n/KoHx/05Bc3Pghbp1Y8+fXuS6L3OpqGlgvb8QnHmNRe8YoaiDe/fgk6oDVNQ0MLh3DwYc18MqNGcmuplF7KCtD0KoPgV24W5fudw9uYgv9zfxlw++4Iz8XL45tDdAUBSS27uNRiCL8BZSCVEGaYLXCBUvpQycs/lQM9fcnCzGF/VzreIZZCq67z6YNy/4IiefDC+/zIp/daNi81Z6dM9gTVkNR1q2UNT/GCPzVxlRP7v2NTHx5BPIzsq0ksjaIm+0NdZGXzNNR1oDso8jvZepxYN5e+te1pTVUHj8LtaX17KzvpHbX/6E1bdd6D8jOApJwjiFdEGUQRoQaeYfSaiH2u9l5mqGo26v+YjLThvAtLHDAqKPen2xnaueuh/ee886pxXQvXPJfO1VGGNU/pw6yMfzH35BZV0jx/XozrryWquCqGGGMhrcm9cHoAjWbqulqP8xli8BzD4IRnKbWfTOfEdn5Oey0F+4LtTKZuVne/jVpSfzq1dLeeQHp1rb3aKQxE4vpAuiDDop4WzcTiIJ9VjMFfZOX3bhe+WxTVz2wk/J21kecHwrcM+FNzDwnrnMHBNouvlW0QksXrud4Xk5FA/N5esjzWyvbWTK6IHWqsOOUViulvMK+7Kv0cdtL22msN8xLH5vO3PGFbrG5hfk5fj9DaUsmX5mgLloZL+efLCjnl37miirPmhbEYRWuGLqEdIFUQadFKeJw/4ZK9FEJpmdvsxCblce2wSjR3PcJ59Yx7QCGRdcAE88wf5BwxjoaDBjMuvCAkr3fOUX8Hn06ZnFsxu/YFVptWuNJPtzm72Ifc2tlhJw82PYVwYmbY7wQmsF4hxfqDwLQUgXRBl0UkIVQYPYw0yjqVEExuz4liGaIxMmkFlZGbCvFWhc+Ad6zp5lHAuWn+Hmiwv5qLI+YPZe1P9Yv3lIh1RybslV9vLYbqsI+zuyV061X98+Dif20hRmFrIgpBOiDDopsTiMIxFtjSIeewxuu42gCv8DBpDx17/Sc8yYAAH+y79/xvqKOqvyp4mz9EKk2v12ZeUsj+2GF1OP2W3MfGb7Oc48C0FIJ0QZdHK8ljSIBrPujluNogA2bqR50nfI2FcfWEcoM5OMP/8ZrrzSOtSuoE4a2Iv1FXWcX5jH1Wf2YGrxYPY1+ti4vY4LTjyejyrrw44vXBmKcHgx9bitEsx72Kuw2s+Nd/FAqToqJANRBp2ccB2z2kuoKJuKmkPcv6KUe0Z1Y+hts+HDD+nW0gL4/QI5OWS8/DJMmBD2mgB9/OGn9gxlMzPZXtY6VL0gcx8QMYTUPoZIph7nu7OP+yfPf8y68rqg/sfxDi+VcFUhGYgy6OQYcfUtngSi1xmnmzKpb/Bx6+9X8b3lT3HCP96E5iPWvlag8e576PmreQHHO5Ox7DkJoXr7OrurRSqE5+ybHA637mbme/BiQirq34t15XUU9e/lOvZ4mY8kXFVIBqIMOjl2gQiEdfh6mXGGEoofPfwHXr7vFrrb6uj4yKDssmv4tyfn07Nv34DznTX4oS0nwQzrdD6HvbuaGe55Rn4uF43MC2oPaRKt4AylQLy8m1kXFtCnZ1bQveIdXirhqkIyEGWQBjht6I2+Fis5ykvpYztBQnHjRvjhD7mkspIMvyJoBb48No9Fs+7ntl9eD7Z7OHsj24u+3XxxIV/UN3LzxYVhn6e+wWeFil40Ms+1PaSzhIZTgZn7xxf1Y/nm3dgT1tzeg5d3I0JaSGdEGaQBdht6dlamVa8HAme5XkJQTWF45bFNcNppsHkz4G85mZEBSvHW7F8y8+jTmTNuRJDwNWfyZqKYPToHoKKmwXIQ3/7yJzzyg1Ot2j/21pimIrh7clGA2cjErQmM/XnN/WZWM7StmiR5TBCCSZgyUErdA9wI1Pg3/Vxr/Zp/31zgBqAF+InW+o1EjaMrEagUugWVYjYxhW7docMsXrsjoPBabtUOZk77NuzcGXjxm25i3+0/56XKJsYX9WOuv7m8s7dxfp9sKusaOdKyhd9dfZrrjHt8UT+mLtpAfcMRbn/5E5bNGhtwDWf2sBv2JLJH3yxjxvnDA8ZjRv6YzuhzCvpYPgu7g1oQBIOMyIfExHyt9Wj/j6kIioCrgJOACcB/K6UyEzyOuGPatM2IllTCVApmITd7EpVpgnlg5VZK9xz0b/UXXnvySRg1KlAR9OgBL7wAjz/OS5VNPLByK6tKqy1Bal4LFBeNzLNm4evKa1m6oTIgLt903C7fvJv6hiPk5nTnkR+capvlK+ZOHMWU0QOs25v7bntpc8C7Np9x4dvbWF9Rx7bqg+TmZLF0QyUPrNzK8s27efSK0VbP5YXXfNMKmXVrRC8IXZ1kmIkuBV7QWh8GdiilyoEzgfeTMJZ2k8rhf/bZMRA0g19TVsM5BX0oGnAsRf2PYciH79LygzNQX30VODuYPRsWLrR+dYvBb2uVmQ9ghV+eO6IPoANMOaZD2ZlYlt83x7pubk5WgGkpUjioPfPYoK1hTG5OFrdccqLr+FM9fl9yDYSOJtHKYLZS6jqgBLhNa70PGAhstB1T5d8WhFJqBjADYMiQIQkeanSkcvifm6IyBeyM84dz0cg8Cvsdw9ePPMq8d58GrTGXZq1A3bATyVu5HEaODLhuuBh8U2D97upvBqwG7M1bGn0tgGbK6IGsKq0OeV17chfAKYN6ccqg41zNXs7M43ANY7z6BaIRxIkS2qk82RDSk5iUgVJqFXCCy65fAH8AfoUxVfsV8CjwI+zF4Ntw7funtV4MLAYoLi6OT2/AOJHKDsdw0TKNvmaOvPY6t6z8DUc1HAzIHG4dOIjlP5/PhdOmBEQIuWEXgkCAkLa/F3vi2JTRA1hVWs3yzbuDwk7tmOacMcMNhbFgdTlzJ44K6F8Q6t2HypFY9G4Fm7/Yx+ghvZnlb3gTCqcgDifwEyW0U3myIaQnMSkDrfV4L8cppZ4EVvh/rQLsf+GDgN2xjEMIxE0g5uZkMfOEZnzTrqfbBx9YYaIAdOtGxv/+L/vPu5iakl1U1jYENayB0GWzITiax46z/7HdTOS8bqTQT+f3UDjHarbN/LByH9uqD4atPBquJEWoZLl4C+1UnmwI6Ukio4n6a633+H/9HvCZ//ty4C9KqceAAUAh8GGixiH4ef11Wr/7XbLMlpNKwQknwOWXW1FCjRsqWbB6W1DNf5NIZbPdBGJ9g49GXwszzhsGSnHKoF6BDWoIFrZuqwv7d3u7SvN853fnWOsafGz+Yh9KqYiVR8OZwyIdKwidlUT6DB5WSo3GMAFVAjMBtNZblFIvAaVAM3CT1rolgeOIG53Wqff66zBpEhnaWA183e0ojl77jtVl7Jm3PmfB6m3MOG84cyeOsmr+33xxYYD5J1TZ7HARVUZP4m1W8thFI/OCjol2dh1qVWL/7hzrzyd9wxprtJVHReALXYGEKQOt9Q/D7Ps18OtE3TtRdCan3oG318K119Bj6CCyPi8DrWlViu1DR/H1H59h/eE+TLVq8xhKokdWRkDNf2c550glpc3j7NhrDkGp66w8WmHrxYwU6pqR7tVpFb4gxIrWulP8nH766TrZ1B06rBe9U67rDh1OmXE4x1R36LBe/bP7dQtobf6ccYbWeXlar1yptdZ60TvleuidK/Sid8qDrhfqPl62le89GPb9RPP+ohlTtIS7hvPdCEJnBijRHmWslKOIglQxF7iZST77pIKHtr9B0zvrOP+Tj6wooZZevcj8058CwkSdM+toZtHhSmY7VxJeruflGe3nxGN1Fu4azrBWQegqiDLohDiFeebTT3H9Qw/RDU22/5jWjAwyiorIfPnliPkCboQyl4Sy7xuO4mbmjCuMS2RNqPvEI3on3DXsYa1ufZcFIV1RWqdU+H5IiouLdUlJSbKHkRDabaeurYWHH6b1N7+xnMPN+fl0mzoV7rgD/GWlI93bbGY/bewwgIAS1HMnjooYaw9tSW1zxo3w1Dc5VRGfgZBOKKU2aa2LvRwrK4MUIGrTh7+sNHl58P77ZGAkjb1aOJb6R37LtEvPiOreZgJYdpbx5+DsRexljM4y2p6fhdQSwKliChSEjkaUQQoQlZ1640Y4/3w4cgTKy43vWVl89fB8dn/VI2Qil4lbgpdZJsItIsc8p67BZ1X+dMMUohU1h/i0an9UNvfOFKUlCOmKKIMUIKKdurYWliyB886D8eMNRQBw9tnw179C374chz+Rw49bSYWlG3awaed+1pXXWtudxdzM7TiuZWbwrioNb0tvj809UVm8qbTiEIRUR5RBChBWGNbWwpQp8P77MGQINDRAdjZMnw733AN9+4ZtUmM38yxYXQ5glXD2IixNx/CM84fTo3uGa7E4Z9exkM8SgkSZZmTFIQjeEWUQJYmYbboKQ3M10NBgKAKTSZPgsccCIoTChXuaGOagZkAFlZtu9LVYqwPn85lKxHQku4WPOu+fKoJXir0JgndEGURJe5vKR61EHn8c7r0Xbr8dbroJ3ngD/vQnq4SEHa9Czx7l88S7Fawrr/PvaYsocz6f89rhsn/PyM9l+pIPgwrcJQtxBguCd0QZRIkXweumMDyZLGprDSUA0Gh0DCM7Gx5+OOZxuwl550rBLVfAKVBDVUSdWjyYqYs2WAXuHr1itNjrBaETIcogSrzMNsPNnl2VSFmZ0VXM54P33jO2zZtnKIHp0yOOyYuicbu/Mx/AbhJyCvBIK5tlJbuoqGmgIC+HuycXib1eEDoZogwSQMh+AqH8Am++CatWGdvGj4dzzjGUg4ekMfC2WnFWGXVrDO92nbZ2mS1hG9I4q4T2Ls4KulYoJOpHEJJPRuRDhISxZImRKXzaaYYSuP12eP55K0rIjfoGH/PfKmP+W59bpaNNQR9OkJo9AEzBu6ashnNH9KHR1xJ0HSDgWGOGrwOS0Jw4xxBqTPZxmJj3WFayy9NrEwQh/sjKoKMxVwPTp7eZgKZP91w6wj6jB4JyBELh1pim0dfMgtXbyM7KDFkMzjnjjxU381E0UT+yihCExCDKIEY8C6fXX4frroPvfheeftrYdvvtxo9Hlm7YwZqyGgb0OprdB75mX8PhoJh/t3EBAY5hc9Ze3+ALaB5vnmNmD4frC9AeQhWzi0c102QgiklIJ0QZxIgn4VRWZiSOHTkCr7zi2TEcjAJgcG42uw98zfbaRp7d+IXrvZ1lrt0cw04hnGhBG85B7ZVUyh1IJcUkCLEiyiBGPAmnW281FEH37vDcczBhAhA+H2F8UT9WlVYH7Js2Np/srExrn/0YO/a+w42+FqaMHhB5jF6fJcS4vRAPQZ5KuQNenkdWD0JnQZRBjLgKp7IyQwGYmcKPPWZs95A5bG7buL2ONWU1NPpayM7KDDLZmHV/3Or/OPsOO30CUT2LC5FmxKEEYCoJ8njg5Xlk9SB0FkQZxBO3UNFXXzUUwKuvBh0eLh9hfFE/xgyvptHX7FmYOG3+5jXibVKJNCMWAdhGKpm1BCEcogzCEPUS3wwVvf12yMpqWxGEIFI+QsEFPYOcvOFwRgHZHcihHM0m0TxrpBmxCMA20m01JKQvogzC4Nk5bJqEogwV9UI0wsQuhN36JEPo54jnbN5tzGI7F4TURpRBGCKWlnYzCbmEinaUILQL4XAmKDcSPZsX05EgpDYxKQOl1FTgHuAbwJla6xLbvrnADUAL8BOt9Rv+7ROABUAm8JTW+sFYxpBInDPcfTt3UzHvQYoG9CI7K7OtqmgEk1AyBKFz7JHum2hzRqIjlQRBiI1YVwafAZcDT9g3KqWKgKuAk4ABwCqllJkq+3vgEqAK+EgptVxrXRrjODqEinkPUrx0ofGLvZBcBJNQR9vQIwlUrwI3noI5XpFKgiAkhpiUgdb6nwBKKeeuS4EXtNaHgR1KqXLgTP++cq31dv95L/iP7RTKoGhALwB8F40jK4pCch3tRIwkUL0K3GQIZnE+C0JySJTPYCCw0fZ7lX8bwC7H9rMSNIbYsdcR6tuX7FvnQO9jyWqHgzjaWbaznEQ050YSqF4FbjIEs0TfCEJyiKgMlFKrgBNcdv1Ca/1KqNNctmncq6Rql23mvWcAMwCGDBkSYaQJwAwVBcM30LdvVLWE7EQ7y7YfbxSUK6fR18wtl4yMcGZkgepV4IpgFoSuQ0RloLUe347rVgH26eQgYLf/e6jtbvdeDCwGKC4uDqk0EoY9VNQD4Wb/0c6y7ccv3VDp3+qmYwVBEGInUWai5cBflFKPYTiQC4EPMaRZoVJqGPAlhpP5mgSNIXaiXAnEamN3KhPzGmZNIrGjC4KQKGINLf0esBDIA15VSm3WWn9ba71FKfUShmO4GbhJa93iP2c28AZGaOnTWustMT1BChFu9u9FUYQ6Rsw1giAkGqV1x1tf2kNxcbEuKSmJfGAKEK4aabxKQqQSnXXcgpDuKKU2aa2LvRwrbS8TgFsbRy+tKb0c0x7cWk3GE2lbKQidny5TjmLfzt2UPfg7Rt71E3oPHZDQe6VarHyi8wVS7XkFQYie9FcG/lyBii27GLN0IRuBMX9IbAWMVLPxJ1pYp9rzCoIQPelvJvLnChQNOJaNs+5k5F0/ScowYjHVxGrmSZT5SRCE9CH9Vwb+HIHs6dMZE6ey0u3BNNU4O5dFcy54M/OIQ1cQhGhJf2UQQ9ZwPDFNNNF0LnOe69XMI8XeBEGIlvRXBimCaaqJpnOZ81yviENXEIRokTwDQRCENEXyDARBEISoEGUgCIIgiDIQBEEQRBkIgiAIdAFlkOi6PKlKV31uQRDaR9org65aRK2rPrcgCO0j7fMMumrMfVd9bkEQ2ofkGQiCIKQpkmcgCIIgRIUoA0EQBEGUgSAIgiDKQBAEQUCUQYcgMf+CIKQ6ogw6AIn5FwQh1Un7PINE46WrmMT8C4KQ6sjKIEa8zPqlB7EgCKlOTMpAKTVVKbVFKdWqlCq2bc9XSjUppTb7fxbZ9p2ulPqHUqpcKfU7pZSKZQzJZmrxYOZOHBXzrF/8CoIgJJNYVwafAZcD77nsq9Baj/b/zLJt/wMwAyj0/0yIcQxJJV6zfvErCIKQTGLyGWit/wngdXKvlOoPHKu1ft//+7PAZcDKWMaRDohfQRCEZJJIn8EwpdT/KaXeVUqd5982EKiyHVPl39blEb+CIAjJJOLKQCm1CjjBZdcvtNavhDhtDzBEa12nlDod+LtS6iTAbQkRslKeUmoGhkmJIUOGRBqqIAiC0E4iKgOt9fhoL6q1Pgwc9n/fpJSqAE7EWAkMsh06CNgd5jqLgcVgVC2NdhyCIAiCNxJiJlJK5SmlMv3fh2M4irdrrfcAB5VSY/xRRNcBoVYXgiAIQgcRa2jp95RSVcDZwKtKqTf8u84HPlVKfQK8DMzSWtf79/0H8BRQDlQgzmNBEISkI81tBEEQ0hRpbiMIgiBEhSgDQRAEofOYiZRSNcDOMIf0BWo7aDjxRMbdsci4O47OOGZIr3EP1VrneTm50yiDSCilSrzaxlIJGXfHIuPuODrjmKHrjlvMRIIgCIIoA0EQBCG9lMHiZA+gnci4OxYZd8fRGccMXXTcaeMzEARBENpPOq0MBEEQhHaSVspAKfUrpdSn/u5qbyqlBiR7TF5QSj2ilNrqH/v/KKWOS/aYvBCq010qopSaoJQq83fYuyvZ4/GCUupppdRepdRnyR5LNCilBiul1iil/un/+5iT7DF5QSl1tFLqQ6XUJ/5x35vsMXlFKZXpbxmwor3XSCtlAPtL1AkAAAK3SURBVDyitT5Faz0aWAH8MtkD8shbwMla61OAz4G5SR6PV8J1uksZ/EUTfw9MBIqAq5VSRckdlSeeoXN2AmwGbtNafwMYA9zUSd73YeBirfWpwGhgglJqTJLH5JU5wD9juUBaKQOt9Ve2X3MI0yshldBav6m1bvb/upHAMt8pi9b6n1rrsmSPwwNnAuVa6+1aax/wAnBpkscUEa31e0B9xANTDK31Hq31x/7vBzGEVMo3sdIGh/y/dvf/pLwMUUoNAr6DUQC03aSVMgBQSv1aKbULuJbOszKw8yOkkmu8GQjYm0tLh70OQimVD5wGfJDckXjDb27ZDOwF3tJad4Zx/xa4A2iN5SKdThkopVYppT5z+bkUQGv9C631YODPwOzkjraNSOP2H/MLjCX2n5M30kC8jLsTEFWHPSE+KKV6An8FfupYtacsWusWv5l5EHCmUurkZI8pHEqpycBerfWmWK8VsdNZqhFF57W/AK8C8xI4HM9EGrdSahowGRinUyjetz2d7lKQKmCw7fewHfaE2FFKdcdQBH/WWv8t2eOJFq31fqXUOxg+m1R24J8DTFFKTQKOBo5VSj2ntf73aC/U6VYG4VBKFdp+nQJsTdZYokEpNQG4E5iitW5M9njSkI+AQqXUMKVUFnAVsDzJY0pb/F0M/wj8U2v9WLLH4xV/h8bj/N97AONJcRmitZ6rtR6ktc7H+Lt+uz2KANJMGQAP+k0YnwLfwvCwdwYeB44B3vKHxS5K9oC8EKbTXUrhd87PBt7AcGa+pLXektxRRUYp9TzwPjBSKVWllLoh2WPyyDnAD4GL/X/Pm/0z11SnP7DGLz8+wvAZtDtUs7MhGciCIAhC2q0MBEEQhHYgykAQBEEQZSAIgiCIMhAEQRAQZSAIgiAgykAQBEFAlIEgCIKAKANBEAQB+P9mYkiFZwEvrQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x=X,y=Y,s=1)\n",
    "plt.scatter(x=X,y=pred,s=1,c='red')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import PolynomialFeatures"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {},
   "outputs": [],
   "source": [
    "pol = PolynomialFeatures(degree=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = [[1,2],\n",
    "     [3,4]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1.,  1.,  2.,  1.,  2.,  4.],\n",
       "       [ 1.,  3.,  4.,  9., 12., 16.]])"
      ]
     },
     "execution_count": 117,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pol.fit_transform(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = pd.Series(range(100))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {},
   "outputs": [],
   "source": [
    "y = pd.Series(np.square(range(100))+200)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame({'x':x,'y':y})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fd19dd8e2e8>"
      ]
     },
     "execution_count": 130,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYcAAAD8CAYAAACcjGjIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAFRNJREFUeJzt3X+sXGWdx/H3V7D+wEVaKUbbskVsRDRxZSdYdSMEdqFFY/3DZtm4S5ewKdmw64+4Ueo/3fVH1MSIkl2JDaDFGBDQLI2LkgZQd5MFuRWDQDWtsNIrSK+5gKZmrXW/+8c8Fw/3zm3vnR935sx5v5KbmfPMMzPPyWnv5z7f55yZyEwkSap63rAHIEkaPYaDJGkOw0GSNIfhIEmaw3CQJM1hOEiS5jAcJElzGA6SpDkMB0nSHMcPewDdOvnkk3Pt2rXDHoYk1caePXt+mZkrF9K3tuGwdu1aJiYmhj0MSaqNiPjZQvtaVpIkzWE4SJLmMBwkSXMYDpKkOQwHSdIcxwyHiLg+Ig5GxIOVthURsTsi9pXb5aU9IuLqiNgfEQ9ExFmV52wp/fdFxJZK+59GxI/Kc66OiOj3TkqSFmchM4cvAxtmtV0J3JmZ64A7yzbARmBd+dkKXAPtMAG2A28Czga2zwRK6bO18rzZ7yVJWmLHDIfM/B4wPat5E7Cz3N8JvKvSfkO23QOcFBGvAC4EdmfmdGY+BewGNpTHTszM/87295XeUHktSVLF9KHDfPG7P2X60OGBv1e3aw4vz8wnAMrtKaV9FXCg0m+ytB2tfbJDe0cRsTUiJiJiYmpqqsuhS1I93TJxgE9+68fcMnHg2J171O8rpDutF2QX7R1l5g5gB0Cr1Zq3nySNo82tNc+5HaRuZw5PlpIQ5fZgaZ8EqqNeDTx+jPbVHdolSbOsOGEZl59zOitOWDbw9+o2HHYBM2ccbQFuq7RfUs5aWg88U8pOdwAXRMTyshB9AXBHeezXEbG+nKV0SeW1JKnxlnKdoeqYZaWIuBE4Fzg5IiZpn3X0KeDmiLgMeAzYXLrfDlwE7Ad+A1wKkJnTEfEx4L7S76OZObPI/fe0z4h6EfCt8iNJ4g/rDACXn3P6kr1vtE8Sqp9Wq5V+KqukcTd96DC3TBxgc2tNz+WkiNiTma2F9K3tR3ZLUhPMrDMsNT8+Q5JGzLDWGaoMB0kaMUt5PcN8LCtJ0ohZyusZ5mM4SNKIGdY6Q5VlJUkaAaOwzlBlOEjSCBiFdYYqy0qSNAJGYZ2hynCQpBEwCusMVZaVJGlIRm2docpwkKQhGbV1hirLSpI0JKO2zlBlOEjSkIzaOkOVZSVJWkKjvM5QZThI0hIa5XWGKstKkrSERnmdocqZgyQNWLWUtJTfA90Lw0GSBqwupaQqy0qSNGB1KSVVGQ6SNGCjfMrqfCwrSdIA1OWU1fkYDpI0AHVcZ6iyrCRJA1DHdYYqw0GSBqCO6wxVlpUkqU/qvs5QZThIUp/UfZ2hyrKSJPVJ3dcZqgwHSeqTuq8zVFlWkqQujdMaw2yGgyR1aZzWGGazrCRJXRqnNYbZepo5RMQHIuKhiHgwIm6MiBdGxGkRcW9E7IuIr0XEstL3BWV7f3l8beV1tpX2n0TEhb3tkiQNTh0/frsbXYdDRKwC3gu0MvP1wHHAxcCngasycx3wFHBZecplwFOZ+WrgqtKPiDizPO91wAbgCxFxXLfjkqRBGudSUlWvaw7HAy+KiOOBFwNPAOcBt5bHdwLvKvc3lW3K4+dHRJT2mzLzt5n5KLAfOLvHcUnSQGxurWHbxjPGspRU1XU4ZObPgc8Aj9EOhWeAPcDTmXmkdJsEVpX7q4AD5blHSv+XVds7PEeSRso4l5KqeikrLaf9V/9pwCuBE4CNHbrmzFPmeWy+9k7vuTUiJiJiYmpqavGDlqQujPMpq/Pppaz058CjmTmVmb8DvgG8BTiplJkAVgOPl/uTwBqA8vhLgelqe4fnPEdm7sjMVma2Vq5c2cPQJWnhmrLOUNVLODwGrI+IF5e1g/OBh4G7gXeXPluA28r9XWWb8vhdmZml/eJyNtNpwDrg+z2MS5L6qinrDFVdX+eQmfdGxK3AD4AjwP3ADuA/gJsi4uOl7brylOuAr0TEftozhovL6zwUETfTDpYjwBWZ+ftuxyVJ/TB96DC3TBxgc2vNWH0sxkL1dBFcZm4Hts9qfoQOZxtl5v8Cm+d5nU8An+hlLJLUTzOlJKBxwQBeIS1JHY3z1c8LYThIUgdNLCVV+cF7klQ08ZTV+RgOklQ08ZTV+VhWkqSi6esMVc4cJDVaUz5ldbEMB0mNZimpM8tKkhrNUlJnhoOkRmv6KavzsawkqXE8ZfXYDAdJjeM6w7FZVpLUOK4zHJszB0mN4Cmri2M4SGoES0mLY1lJUiNYSlocZw6SxpalpO4ZDpLGlqWk7llWkjS2LCV1z3CQNLa8+rl7lpUkjRWvfu4Pw0HSWHGdoT8sK0kaK64z9IczB0m15ymr/Wc4SKo9S0n9Z1lJUu1ZSuo/Zw6SaslS0mAZDpJqyVLSYFlWklRLlpIGy5mDpNqwlLR0DAdJtWEpaelYVpJUG5aSlk5PM4eIOCkibo2IH0fE3oh4c0SsiIjdEbGv3C4vfSMiro6I/RHxQEScVXmdLaX/vojY0utOSRoflpKGo9ey0ueBb2fmGcAbgL3AlcCdmbkOuLNsA2wE1pWfrcA1ABGxAtgOvAk4G9g+EyiSZClpOLouK0XEicDbgL8FyMzDwOGI2AScW7rtBL4DfBjYBNyQmQncU2Ydryh9d2fmdHnd3cAG4MZuxyZpfFhKGo5eZg6vAqaAL0XE/RFxbUScALw8M58AKLenlP6rgGr0T5a2+dolNdDsj9y2lDQcvYTD8cBZwDWZ+UbgEH8oIXUSHdryKO1zXyBia0RMRMTE1NTUYscrqQYsI42GXsJhEpjMzHvL9q20w+LJUi6i3B6s9K/OC1cDjx+lfY7M3JGZrcxsrVy5soehSxpVm1tr2LbxDMtIQ9Z1OGTmL4ADEfGa0nQ+8DCwC5g542gLcFu5vwu4pJy1tB54ppSd7gAuiIjlZSH6gtImqSE8I2n09Hqdwz8CX42IZcAjwKW0A+fmiLgMeAzYXPreDlwE7Ad+U/qSmdMR8THgvtLvozOL05KaYaaUBPidzyOip3DIzB8CrQ4Pnd+hbwJXzPM61wPX9zIWSfXlGUmjx4/PkDQUlpJGm+EgaSg8K2m0+dlKkobCUtJoc+YgaclYSqoPw0HSkrGUVB+WlSQtGUtJ9eHMQdJAWUqqJ8NB0kBZSqony0qSBspSUj05c5DUd5aS6s9wkNR3lpLqz7KSpL6zlFR/zhwk9YWlpPFiOEjqC0tJ48WykqS+sJQ0Xpw5SOqapaTxZThI6pqlpPFlWUlS1ywljS9nDpIWxVJSMxgOkhbFUlIzWFaSdEzThw5zy8QBNrfWWEpqCMNB0jHNzBYALj/ndC4/5/Qhj0iDZjhIOiZnC83jmoOkjlx4bjbDQVJHLjw3m2UlSR1ZSmo2Zw6SnmUpSTMMB0nPspSkGZaVpIbzGgZ1YjhIDec1DOrEcJAaztmCOnHNQWqY6qIz4MKzOuo5HCLiuIi4PyK+WbZPi4h7I2JfRHwtIpaV9heU7f3l8bWV19hW2n8SERf2OiZJ83PRWQvRj5nD+4C9le1PA1dl5jrgKeCy0n4Z8FRmvhq4qvQjIs4ELgZeB2wAvhARx/VhXJKK6mxhc2sN2zaeYRlJR9VTOETEauDtwLVlO4DzgFtLl53Au8r9TWWb8vj5pf8m4KbM/G1mPgrsB87uZVySnqs6W7CMpIXodUH6c8CHgD8q2y8Dns7MI2V7ElhV7q8CDgBk5pGIeKb0XwXcU3nN6nOeIyK2AlsBTj311B6HLjWHi85arK5nDhHxDuBgZu6pNnfomsd47GjPeW5j5o7MbGVma+XKlYsar9Q0Xu2sXvQyc3gr8M6IuAh4IXAi7ZnESRFxfJk9rAYeL/0ngTXAZEQcD7wUmK60z6g+R1KXZl+/IC1G1zOHzNyWmaszcy3tBeW7MvM9wN3Au0u3LcBt5f6usk15/K7MzNJ+cTmb6TRgHfD9bsclNZkLz+qXQVwE92Hgpoj4OHA/cF1pvw74SkTspz1juBggMx+KiJuBh4EjwBWZ+fsBjEsae17trH6J9h/v9dNqtXJiYmLYw5BGSvVzklxf0GwRsSczWwvp6xXSUs258KxBMBykmvOKZw2CH7wn1ZAfs61BMxykGnLhWYNmOEg14WxBS8lwkGrC2YKWkuEg1YSzBS0lz1aSRpinqWpYDAdphHmaqobFspI0Ylx41igwHKQR48KzRoHhII0AZwsaNYaDNAKcLWjUGA7SkDhb0CgzHKQhcbagUWY4SEvI2YLqwnCQlpCzBdWF4SANmLMF1ZHhIA2YswXVkeEgDYCzBdWd4SANgLMF1Z3hIPVBdaaw4oRlzhZUe34qq9QHsz891Y/XVt05c5C65LqCxpnhIHXJdQWNM8NBWgRnC2oKw0FaBGcLagrDQToGZwtqIsNBOgZnC2oiw0HqwNmCms5wkDpwtqCm6/oiuIhYExF3R8TeiHgoIt5X2ldExO6I2Fdul5f2iIirI2J/RDwQEWdVXmtL6b8vIrb0vlvS4k0fOswXv/tTpg8dZnNrDds2nuFsQY3VyxXSR4APZuZrgfXAFRFxJnAlcGdmrgPuLNsAG4F15WcrcA20wwTYDrwJOBvYPhMo0lKqXuXsFc5quq7LSpn5BPBEuf/riNgLrAI2AeeWbjuB7wAfLu03ZGYC90TESRHxitJ3d2ZOA0TEbmADcGO3Y5MWyrUFqbO+fLZSRKwF3gjcC7y8BMdMgJxSuq0CDlSeNlna5muXBqJaPnK2IHXW84J0RLwE+Drw/sz8VUTM27VDWx6lvdN7baVdkuLUU09d/GAlnrvY7GxB6qynmUNEPJ92MHw1M79Rmp8s5SLK7cHSPglU/weuBh4/SvscmbkjM1uZ2Vq5cmUvQ1fDzLfY7GxB6qyXs5UCuA7Ym5mfrTy0C5g542gLcFul/ZJy1tJ64JlSdroDuCAilpeF6AtKm9Q3lo+kxemlrPRW4G+AH0XED0vbR4BPATdHxGXAY8Dm8tjtwEXAfuA3wKUAmTkdER8D7iv9PjqzOC31wsVmqXu9nK30X3ReLwA4v0P/BK6Y57WuB67vdizSjGogeCGb1D2vkNZYcbFZ6g/DQbU3X/loZm1B0uL5HdKqJa9VkAbLmYNqyfKRNFiGg2qhWjpaccIyy0fSgFlW0siar3QEWD6SBsyZg0aWpSNpeAwHjRTPPJJGg2UlDZ1nHkmjx5mDhmK+K5ktH0mjwXDQUMwXCJaPpNFgOGjJuJ4g1YdrDhoo1xOkenLmoL5zPUGqP8NBfbGQQLB8JNWH4aCuGQjS+DIctCgGgtQMhoOOyUCQmsdwUEcGgtRshoOeZSBImmE4NNjs70gwECTNMBwaZr7ZweXnnG4gSHqW4dAAC70ozUCQNMNwGCPVEABcP5DUNcOh5uabFQAGgqSuGQ41sdhZwQwDQVI3DIcR1uuswECQ1C3DYUjmmwlU7zsrkDQshsMAzb6OYCEzgep9ZwWShsVwWISF/LVfvT/7OoKFzASq950VSBqWxoXDYn/BV+8v5K/96v3ZAbDQmYCBIGnYRiYcImID8HngOODazPzUIN5nsb/gq/cX8td+9f7sAHAmIKkuRiIcIuI44N+AvwAmgfsiYldmPtzv91rsL/jq/YX+tW8ASKq7yMxhj4GIeDPwz5l5YdneBpCZn5zvOa1WKycmJpZohJJUfxGxJzNbC+n7vEEPZoFWAQcq25OlTZI0BKMSDtGhbc6UJiK2RsRERExMTU0twbAkqZlGJRwmgTWV7dXA47M7ZeaOzGxlZmvlypVLNjhJappRCYf7gHURcVpELAMuBnYNeUyS1FgjcbZSZh6JiH8A7qB9Kuv1mfnQkIclSY01EuEAkJm3A7cPexySpNEpK0mSRshIXOfQjYiYAn7W5dNPBn7Zx+HUQRP3GZq5303cZ2jmfi92n/84Mxd0Nk9tw6EXETGx0AtBxkUT9xmaud9N3Gdo5n4Pcp8tK0mS5jAcJElzNDUcdgx7AEPQxH2GZu53E/cZmrnfA9vnRq45SJKOrqkzB0nSUTQqHCJiQ0T8JCL2R8SVwx7PoETEmoi4OyL2RsRDEfG+0r4iInZHxL5yu3zYY+23iDguIu6PiG+W7dMi4t6yz18rH88yViLipIi4NSJ+XI75m8f9WEfEB8q/7Qcj4saIeOE4HuuIuD4iDkbEg5W2jsc22q4uv98eiIizennvxoRD5QuFNgJnAn8VEWcOd1QDcwT4YGa+FlgPXFH29UrgzsxcB9xZtsfN+4C9le1PA1eVfX4KuGwooxqszwPfzswzgDfQ3v+xPdYRsQp4L9DKzNfT/sidixnPY/1lYMOstvmO7UZgXfnZClzTyxs3JhyAs4H9mflIZh4GbgI2DXlMA5GZT2TmD8r9X9P+ZbGK9v7uLN12Au8azggHIyJWA28Hri3bAZwH3Fq6jOM+nwi8DbgOIDMPZ+bTjPmxpv3RPy+KiOOBFwNPMIbHOjO/B0zPap7v2G4Cbsi2e4CTIuIV3b53k8KhkV8oFBFrgTcC9wIvz8wnoB0gwCnDG9lAfA74EPB/ZftlwNOZeaRsj+MxfxUwBXyplNOujYgTGONjnZk/Bz4DPEY7FJ4B9jD+x3rGfMe2r7/jmhQOC/pCoXESES8Bvg68PzN/NezxDFJEvAM4mJl7qs0duo7bMT8eOAu4JjPfCBxijEpInZQa+ybgNOCVwAm0SyqzjduxPpa+/ntvUjgs6AuFxkVEPJ92MHw1M79Rmp+cmWaW24PDGt8AvBV4Z0T8D+2S4Xm0ZxInldIDjOcxnwQmM/Pesn0r7bAY52P958CjmTmVmb8DvgG8hfE/1jPmO7Z9/R3XpHBozBcKlVr7dcDezPxs5aFdwJZyfwtw21KPbVAyc1tmrs7MtbSP7V2Z+R7gbuDdpdtY7TNAZv4COBARrylN5wMPM8bHmnY5aX1EvLj8W5/Z57E+1hXzHdtdwCXlrKX1wDMz5aduNOoiuIi4iPZfkzNfKPSJIQ9pICLiz4D/BH7EH+rvH6G97nAzcCrt/2CbM3P2YlftRcS5wD9l5jsi4lW0ZxIrgPuBv87M3w5zfP0WEX9CexF+GfAIcCntP/zG9lhHxL8Af0n7zLz7gb+jXV8fq2MdETcC59L+9NUnge3Av9Ph2Jag/FfaZzf9Brg0Mye6fu8mhYMkaWGaVFaSJC2Q4SBJmsNwkCTNYThIkuYwHCRJcxgOkqQ5DAdJ0hyGgyRpjv8HLgQxIPVdBVAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x=x,y=y,s=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LinearRegression(copy_X=True, fit_intercept=True, n_jobs=None, normalize=False)"
      ]
     },
     "execution_count": 132,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr = LinearRegression()\n",
    "lr.fit(df[['x']],y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [],
   "source": [
    "pred = lr.predict(df[['x']])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fd19e8ca2e8>"
      ]
     },
     "execution_count": 135,
     "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": [
    "plt.scatter(x=x,y=y,s=1)\n",
    "plt.scatter(x=x,y=pred,s=1,c='red')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics import mean_squared_error"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "555277.8"
      ]
     },
     "execution_count": 137,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mean_squared_error(y_pred=pred, y_true=df.y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "metadata": {},
   "outputs": [],
   "source": [
    "pol = PolynomialFeatures(degree=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_tf = pol.fit_transform(df[['x']])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {},
   "outputs": [],
   "source": [
    "lr = LinearRegression()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LinearRegression(copy_X=True, fit_intercept=True, n_jobs=None, normalize=False)"
      ]
     },
     "execution_count": 142,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.fit(X_tf, df.y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {},
   "outputs": [],
   "source": [
    "pred = lr.predict(X_tf)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fd19d6328d0>"
      ]
     },
     "execution_count": 144,
     "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": [
    "plt.scatter(x=x,y=y,s=1)\n",
    "plt.scatter(x=x,y=pred,s=1,c='red')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.029411668569083e-24"
      ]
     },
     "execution_count": 145,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mean_squared_error(y_pred=pred, y_true=df.y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.00000000e+00, 1.24031068e-14, 1.00000000e+00])"
      ]
     },
     "execution_count": 146,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.coef_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 147,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "199.99999999999818"
      ]
     },
     "execution_count": 147,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.intercept_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 150,
   "metadata": {},
   "outputs": [],
   "source": [
    "house_data = pd.read_csv('https://raw.githubusercontent.com/edyoda/data-science-complete-tutorial/master/Data/house_rental_data.csv.txt', index_col = 'Unnamed: 0')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 151,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Int64Index: 645 entries, 1 to 648\n",
      "Data columns (total 7 columns):\n",
      "Sqft           645 non-null float64\n",
      "Floor          645 non-null int64\n",
      "TotalFloor     645 non-null int64\n",
      "Bedroom        645 non-null int64\n",
      "Living.Room    645 non-null int64\n",
      "Bathroom       645 non-null int64\n",
      "Price          645 non-null int64\n",
      "dtypes: float64(1), int64(6)\n",
      "memory usage: 40.3 KB\n"
     ]
    }
   ],
   "source": [
    "house_data.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 154,
   "metadata": {},
   "outputs": [],
   "source": [
    "feature_data = house_data.drop(columns=['Price'])\n",
    "target_data = house_data.Price"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 156,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "trainX, testX, trainY, testY = train_test_split(feature_data, target_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 157,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(483, 6)"
      ]
     },
     "execution_count": 157,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "trainX.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 158,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(483,)"
      ]
     },
     "execution_count": 158,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "trainY.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 159,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LinearRegression(copy_X=True, fit_intercept=True, n_jobs=None, normalize=False)"
      ]
     },
     "execution_count": 159,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr = LinearRegression()\n",
    "lr.fit(trainX,trainY)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 160,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([   37.57519372,  1267.66629765,    28.62013314, -1388.73962628,\n",
       "       -2038.67374217,  1258.31643077])"
      ]
     },
     "execution_count": 160,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.coef_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 162,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([30973.61046949, 72317.33813102, 53587.76342544, 48020.02256789,\n",
       "       92133.1344878 ])"
      ]
     },
     "execution_count": 162,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.predict(testX[:5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 163,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "413    42000\n",
       "173    48000\n",
       "565    45000\n",
       "156    44999\n",
       "346    58000\n",
       "Name: Price, dtype: int64"
      ]
     },
     "execution_count": 163,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "testY[:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "mean_squared_error"
   ]
  }
 ],
 "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": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}