Interim_Project_Report-1.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "PROJECT NAME :\n",
    "RIO-125: Rank features of a smartphone - Build a python application to classify and rank dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### STEP -1 DATA GATHERING"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "IMPORTING SOME LIBRARIES"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline \n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "CREATING DATA-FRAME "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv(r'C:\\Users\\hp\\Desktop\\PROJECT\\train.csv')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### STEP -2 Data Analysis\n",
    "\n",
    "#### 1. Identify the missing values\n",
    "#### 2. All the numerical values\n",
    "#### 3. Distribution of the numerical values\n",
    "#### 4. Categorical variables\n",
    "#### 5. Cardinality of categorical variables\n",
    "#### 6. Outliers \n",
    "#### 7. Relationship between independent and dependent variables"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "NO OF COLUMNS AND ROWS IN DATA FRAME"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2000, 21)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "NAME OF ALL COLUMNS "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['battery_power', 'blue', 'clock_speed', 'dual_sim', 'fc', 'four_g',\n",
       "       'int_memory', 'm_dep', 'mobile_wt', 'n_cores', 'pc', 'px_height',\n",
       "       'px_width', 'ram', 'sc_h', 'sc_w', 'talk_time', 'three_g',\n",
       "       'touch_screen', 'wifi', 'price_range'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.columns "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "DEPENDENT VARIABLE IS price_range AND REST ARE ALL INDEPENDENT VARIABLES"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "COMPUTING nan VALUES OF THE FEATURES"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "battery_power    0\n",
       "blue             0\n",
       "clock_speed      0\n",
       "dual_sim         0\n",
       "fc               0\n",
       "four_g           0\n",
       "int_memory       0\n",
       "m_dep            0\n",
       "mobile_wt        0\n",
       "n_cores          0\n",
       "pc               0\n",
       "px_height        0\n",
       "px_width         0\n",
       "ram              0\n",
       "sc_h             0\n",
       "sc_w             0\n",
       "talk_time        0\n",
       "three_g          0\n",
       "touch_screen     0\n",
       "wifi             0\n",
       "price_range      0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.isnull().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "battery_power  has  0.0 % missing values\n",
      "blue  has  0.0 % missing values\n",
      "clock_speed  has  0.0 % missing values\n",
      "dual_sim  has  0.0 % missing values\n",
      "fc  has  0.0 % missing values\n",
      "four_g  has  0.0 % missing values\n",
      "int_memory  has  0.0 % missing values\n",
      "m_dep  has  0.0 % missing values\n",
      "mobile_wt  has  0.0 % missing values\n",
      "n_cores  has  0.0 % missing values\n",
      "pc  has  0.0 % missing values\n",
      "px_height  has  0.0 % missing values\n",
      "px_width  has  0.0 % missing values\n",
      "ram  has  0.0 % missing values\n",
      "sc_h  has  0.0 % missing values\n",
      "sc_w  has  0.0 % missing values\n",
      "talk_time  has  0.0 % missing values\n",
      "three_g  has  0.0 % missing values\n",
      "touch_screen  has  0.0 % missing values\n",
      "wifi  has  0.0 % missing values\n",
      "price_range  has  0.0 % missing values\n"
     ]
    }
   ],
   "source": [
    "for column in df.columns:\n",
    "    print(column , \" has \",df[column].isnull().mean(),\"% missing values\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "NO COLUMN HAS MISSING VALUES "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 2000 entries, 0 to 1999\n",
      "Data columns (total 21 columns):\n",
      " #   Column         Non-Null Count  Dtype  \n",
      "---  ------         --------------  -----  \n",
      " 0   battery_power  2000 non-null   int64  \n",
      " 1   blue           2000 non-null   int64  \n",
      " 2   clock_speed    2000 non-null   float64\n",
      " 3   dual_sim       2000 non-null   int64  \n",
      " 4   fc             2000 non-null   int64  \n",
      " 5   four_g         2000 non-null   int64  \n",
      " 6   int_memory     2000 non-null   int64  \n",
      " 7   m_dep          2000 non-null   float64\n",
      " 8   mobile_wt      2000 non-null   int64  \n",
      " 9   n_cores        2000 non-null   int64  \n",
      " 10  pc             2000 non-null   int64  \n",
      " 11  px_height      2000 non-null   int64  \n",
      " 12  px_width       2000 non-null   int64  \n",
      " 13  ram            2000 non-null   int64  \n",
      " 14  sc_h           2000 non-null   int64  \n",
      " 15  sc_w           2000 non-null   int64  \n",
      " 16  talk_time      2000 non-null   int64  \n",
      " 17  three_g        2000 non-null   int64  \n",
      " 18  touch_screen   2000 non-null   int64  \n",
      " 19  wifi           2000 non-null   int64  \n",
      " 20  price_range    2000 non-null   int64  \n",
      "dtypes: float64(2), int64(19)\n",
      "memory usage: 328.2 KB\n"
     ]
    }
   ],
   "source": [
    "df.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "FINDING THE NUMERICAL FEATURES IN THE DATA-FRAME"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "numerical_form = [column for column in df.columns if df[column].dtypes != 'O']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "battery_power  is in numerical form\n",
      "blue  is in numerical form\n",
      "clock_speed  is in numerical form\n",
      "dual_sim  is in numerical form\n",
      "fc  is in numerical form\n",
      "four_g  is in numerical form\n",
      "int_memory  is in numerical form\n",
      "m_dep  is in numerical form\n",
      "mobile_wt  is in numerical form\n",
      "n_cores  is in numerical form\n",
      "pc  is in numerical form\n",
      "px_height  is in numerical form\n",
      "px_width  is in numerical form\n",
      "ram  is in numerical form\n",
      "sc_h  is in numerical form\n",
      "sc_w  is in numerical form\n",
      "talk_time  is in numerical form\n",
      "three_g  is in numerical form\n",
      "touch_screen  is in numerical form\n",
      "wifi  is in numerical form\n",
      "price_range  is in numerical form\n"
     ]
    }
   ],
   "source": [
    "for column in numerical_form:\n",
    "    print(column, \" is in numerical form\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "TOTAL NUMERICAL FEATURES"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "21"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(numerical_form)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "ALL COLUMNS ARE OF NUMERICAL TYPE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "WANT TO KNOW THE DISTINCT VALUES THAT EACH FEATURE HAVE "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "battery_power  has  1094  unique values\n",
      "blue  has  2  unique values\n",
      "clock_speed  has  26  unique values\n",
      "dual_sim  has  2  unique values\n",
      "fc  has  20  unique values\n",
      "four_g  has  2  unique values\n",
      "int_memory  has  63  unique values\n",
      "m_dep  has  10  unique values\n",
      "mobile_wt  has  121  unique values\n",
      "n_cores  has  8  unique values\n",
      "pc  has  21  unique values\n",
      "px_height  has  1137  unique values\n",
      "px_width  has  1109  unique values\n",
      "ram  has  1562  unique values\n",
      "sc_h  has  15  unique values\n",
      "sc_w  has  19  unique values\n",
      "talk_time  has  19  unique values\n",
      "three_g  has  2  unique values\n",
      "touch_screen  has  2  unique values\n",
      "wifi  has  2  unique values\n",
      "price_range  has  4  unique values\n"
     ]
    }
   ],
   "source": [
    "for column in numerical_form:\n",
    "    print(column , \" has \",len(df[column].unique()),\" unique values\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "DISTRIBUTION OF ALL FEATURES"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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D1q3ck+xJ8mSSp5JctV7bkSS93rqUe5JNwCeBnwLOAi5JctZ6bEuS9Hrrted+HvBUVf1JVf0FMAtcuE7bkiQtkKpa+ydNfg7YU1X/srt/KfB3q+oX+9bZC+zt7r4VeHKETZ4K/PkI44+njZQVNlZes66fjZR3I2WF0fL+UFW9ebEHNg+fZ1lZZNl3/RSpqv3A/jXZWPJQVU2vxXOtt42UFTZWXrOun42UdyNlhfXLu16HZQ4Bp/fdPw14bp22JUlaYL3K/UHgzCRnJPlrwMXAXeu0LUnSAutyWKaqjiX5ReBLwCbguqp6bD221VmTwzvHyUbKChsrr1nXz0bKu5GywjrlXZc/qEqSxssrVCWpQZa7JDVow5Z7kuuSHEny6LizDCLJ6UnuS/JEkseSfHDcmZaS5PuTPJDk613WfzfuTCtJsinJ/0ry+XFnWUmSg0nmkjyS5KFx51lJkpOT3Jrkj7rP70+MO9Nikry1e097Xy8l+dC4cy0lyb/p/n09muTmJN+/ps+/UY+5J/lJ4GXgt6vq7HHnWUmS7cD2qno4yRuBA8BFVfX4mKO9TpIAW6rq5SRvAL4KfLCqvjbmaEtK8kvANPADVfXT486znCQHgemq2hAX2iS5AfgfVfXZ7uy3k6rqm2OOtaxuCpRnmb948v+MO89CSXYw/+/qrKp6JcktwBeq6vq12saG3XOvqvuBF8adY1BV9XxVPdzd/hbwBLBjvKkWV/Ne7u6+ofua2L2AJKcB7wY+O+4srUnyA8BPAtcCVNVfTHqxdy4A/vckFnufzcCJSTYDJ7HG1wJt2HLfyJLsBN4O/MGYoyypO8zxCHAEuKeqJjYr8B+BXwb+csw5BlXAl5Mc6KbhmGR/HfgG8FvdYa/PJtky7lADuBi4edwhllJVzwK/DjwDPA8craovr+U2LPfjLMlW4DbgQ1X10rjzLKWqXquqc5i/uvi8JBN56CvJTwNHqurAuLOswvlV9aPMz5p6RXeIcVJtBn4U+HRVvR34NjDRU3h3h45+Bviv486ylCSnMD+Z4hnAW4AtSf75Wm7Dcj+OuuPXtwE3VdXt484ziO5X8K8Ae8abZEnnAz/THceeBf5hkhvHG2l5VfVc9/0IcAfzs6hOqkPAob7f3G5lvuwn2U8BD1fV4XEHWcY/Ap6uqm9U1XeA24G/t5YbsNyPk+6PlNcCT1TVx8adZzlJ3pzk5O72icx/EP9orKGWUFVXV9VpVbWT+V/F/3tVreke0FpKsqX7gzrd4Y13ABN7xldV/Rnwp0ne2i26AJi4kwAWuIQJPiTTeQb48SQndd1wAfN/h1szG7bck9wM/D7w1iSHkrxv3JlWcD5wKfN7lr1Ttd417lBL2A7cl+QPmZ8n6J6qmvhTDDeIKeCrSb4OPADcXVW/M+ZMK/kAcFP3eTgH+A/jjbO0JCcB/5j5PeGJ1f0mdCvwMDDHfBev6TQEG/ZUSEnS0jbsnrskaWmWuyQ1yHKXpAZZ7pLUIMtdkhpkuUsj6CaokiaO5a5mJdnZTVH7mW5q1S93F2Uttu7fTPK73TTHDyf5G5n30W5K1rkkP9+tO9NN3/w5YK6bh+ejSR5M8odJ3t+ttz3J/d01DY8m+QfH8eXre9y6/B+q0gQ5E7ikqv5VN63qPwUWm57gJuAjVXVHN6/29wH/hPmLdn4EOBV4MMn93frnAWdX1dPd5F9Hq+rHkpwA/M8kX+7Gf6mqrun28E9ax9cpfRfLXa17uqoe6W4fAHYuXKGbDmBHVd0BUFX/r1v+94Gbq+o14HCS3wN+DHgJeKCqnu6e4h3A30nyc939bcz/UHkQuK6bU+i/9eWQ1p3lrta92nf7NWCxwzJZYuxSy2F+dsT+9T5QVV963RPMz/j4buA/J/loVf32CnmlNeExd33P66ZePpTkIoAkJ3RzlNwP/Hx3TP3NzP+nFQ8s8hRfAv51t4dOkh/uJgj7IeanI/4M85PGTfpsimqIe+7SvEuB30zy74HvAO9hfjrenwC+zvx/sPHLVfVnSf7WgrGfZf5wz8PdDH/fAC4CZoB/m+Q7zP+XkP9i/V+GNM+JwySpQR6WkaQGeVhG31OSfJL5ufX7/aeq+q1x5JHWi4dlJKlBHpaRpAZZ7pLUIMtdkhpkuUtSgyx3SWrQ/wfZgudjrjsaOQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for column in numerical_form:\n",
    "    df[column].hist(bins = 20)\n",
    "    plt.xlabel(column)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "CATEGORIZING INTO CONTINUOUS AND CATEGORICAL VARIABLES"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "continuous_num_features = [column for column in df.columns if len(df[column].unique())>=15]\n",
    "categorical_num_features = [column for column in df.columns if column not in continuous_num_features]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "battery_power\n",
      "clock_speed\n",
      "fc\n",
      "int_memory\n",
      "mobile_wt\n",
      "pc\n",
      "px_height\n",
      "px_width\n",
      "ram\n",
      "sc_h\n",
      "sc_w\n",
      "talk_time\n"
     ]
    }
   ],
   "source": [
    "for column in continuous_num_features:\n",
    "    print(column)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "blue\n",
      "dual_sim\n",
      "four_g\n",
      "m_dep\n",
      "n_cores\n",
      "three_g\n",
      "touch_screen\n",
      "wifi\n",
      "price_range\n"
     ]
    }
   ],
   "source": [
    "for column in categorical_num_features:\n",
    "    print(column)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "HERE , DEPENDENT VARIABLE price_range IS A CATEGORICAL FEATURE "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "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>battery_power</th>\n",
       "      <th>clock_speed</th>\n",
       "      <th>fc</th>\n",
       "      <th>int_memory</th>\n",
       "      <th>mobile_wt</th>\n",
       "      <th>pc</th>\n",
       "      <th>px_height</th>\n",
       "      <th>px_width</th>\n",
       "      <th>ram</th>\n",
       "      <th>sc_h</th>\n",
       "      <th>sc_w</th>\n",
       "      <th>talk_time</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>842</td>\n",
       "      <td>2.2</td>\n",
       "      <td>1</td>\n",
       "      <td>7</td>\n",
       "      <td>188</td>\n",
       "      <td>2</td>\n",
       "      <td>20</td>\n",
       "      <td>756</td>\n",
       "      <td>2549</td>\n",
       "      <td>9</td>\n",
       "      <td>7</td>\n",
       "      <td>19</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1021</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>53</td>\n",
       "      <td>136</td>\n",
       "      <td>6</td>\n",
       "      <td>905</td>\n",
       "      <td>1988</td>\n",
       "      <td>2631</td>\n",
       "      <td>17</td>\n",
       "      <td>3</td>\n",
       "      <td>7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>563</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2</td>\n",
       "      <td>41</td>\n",
       "      <td>145</td>\n",
       "      <td>6</td>\n",
       "      <td>1263</td>\n",
       "      <td>1716</td>\n",
       "      <td>2603</td>\n",
       "      <td>11</td>\n",
       "      <td>2</td>\n",
       "      <td>9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>615</td>\n",
       "      <td>2.5</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>131</td>\n",
       "      <td>9</td>\n",
       "      <td>1216</td>\n",
       "      <td>1786</td>\n",
       "      <td>2769</td>\n",
       "      <td>16</td>\n",
       "      <td>8</td>\n",
       "      <td>11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1821</td>\n",
       "      <td>1.2</td>\n",
       "      <td>13</td>\n",
       "      <td>44</td>\n",
       "      <td>141</td>\n",
       "      <td>14</td>\n",
       "      <td>1208</td>\n",
       "      <td>1212</td>\n",
       "      <td>1411</td>\n",
       "      <td>8</td>\n",
       "      <td>2</td>\n",
       "      <td>15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1859</td>\n",
       "      <td>0.5</td>\n",
       "      <td>3</td>\n",
       "      <td>22</td>\n",
       "      <td>164</td>\n",
       "      <td>7</td>\n",
       "      <td>1004</td>\n",
       "      <td>1654</td>\n",
       "      <td>1067</td>\n",
       "      <td>17</td>\n",
       "      <td>1</td>\n",
       "      <td>10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1821</td>\n",
       "      <td>1.7</td>\n",
       "      <td>4</td>\n",
       "      <td>10</td>\n",
       "      <td>139</td>\n",
       "      <td>10</td>\n",
       "      <td>381</td>\n",
       "      <td>1018</td>\n",
       "      <td>3220</td>\n",
       "      <td>13</td>\n",
       "      <td>8</td>\n",
       "      <td>18</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1954</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>24</td>\n",
       "      <td>187</td>\n",
       "      <td>0</td>\n",
       "      <td>512</td>\n",
       "      <td>1149</td>\n",
       "      <td>700</td>\n",
       "      <td>16</td>\n",
       "      <td>3</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1445</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>53</td>\n",
       "      <td>174</td>\n",
       "      <td>14</td>\n",
       "      <td>386</td>\n",
       "      <td>836</td>\n",
       "      <td>1099</td>\n",
       "      <td>17</td>\n",
       "      <td>1</td>\n",
       "      <td>20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>509</td>\n",
       "      <td>0.6</td>\n",
       "      <td>2</td>\n",
       "      <td>9</td>\n",
       "      <td>93</td>\n",
       "      <td>15</td>\n",
       "      <td>1137</td>\n",
       "      <td>1224</td>\n",
       "      <td>513</td>\n",
       "      <td>19</td>\n",
       "      <td>10</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   battery_power  clock_speed  fc  int_memory  mobile_wt  pc  px_height  \\\n",
       "0            842          2.2   1           7        188   2         20   \n",
       "1           1021          0.5   0          53        136   6        905   \n",
       "2            563          0.5   2          41        145   6       1263   \n",
       "3            615          2.5   0          10        131   9       1216   \n",
       "4           1821          1.2  13          44        141  14       1208   \n",
       "5           1859          0.5   3          22        164   7       1004   \n",
       "6           1821          1.7   4          10        139  10        381   \n",
       "7           1954          0.5   0          24        187   0        512   \n",
       "8           1445          0.5   0          53        174  14        386   \n",
       "9            509          0.6   2           9         93  15       1137   \n",
       "\n",
       "   px_width   ram  sc_h  sc_w  talk_time  \n",
       "0       756  2549     9     7         19  \n",
       "1      1988  2631    17     3          7  \n",
       "2      1716  2603    11     2          9  \n",
       "3      1786  2769    16     8         11  \n",
       "4      1212  1411     8     2         15  \n",
       "5      1654  1067    17     1         10  \n",
       "6      1018  3220    13     8         18  \n",
       "7      1149   700    16     3          5  \n",
       "8       836  1099    17     1         20  \n",
       "9      1224   513    19    10         12  "
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[continuous_num_features].head(10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "DISTRIBUTION OF CONTINUOUS FEATURES"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for column in continuous_num_features:\n",
    "    df[column].hist(bins =20)\n",
    "    plt.xlabel(column)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "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>blue</th>\n",
       "      <th>dual_sim</th>\n",
       "      <th>four_g</th>\n",
       "      <th>m_dep</th>\n",
       "      <th>n_cores</th>\n",
       "      <th>three_g</th>\n",
       "      <th>touch_screen</th>\n",
       "      <th>wifi</th>\n",
       "      <th>price_range</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.6</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.7</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.9</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.8</td>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.6</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0.7</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.8</td>\n",
       "      <td>8</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0.8</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.7</td>\n",
       "      <td>7</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   blue  dual_sim  four_g  m_dep  n_cores  three_g  touch_screen  wifi  \\\n",
       "0     0         0       0    0.6        2        0             0     1   \n",
       "1     1         1       1    0.7        3        1             1     0   \n",
       "2     1         1       1    0.9        5        1             1     0   \n",
       "3     1         0       0    0.8        6        1             0     0   \n",
       "4     1         0       1    0.6        2        1             1     0   \n",
       "5     0         1       0    0.7        1        1             0     0   \n",
       "6     0         0       1    0.8        8        1             0     1   \n",
       "7     0         1       0    0.8        4        1             1     1   \n",
       "8     1         0       0    0.7        7        1             0     0   \n",
       "9     1         1       1    0.1        5        1             0     0   \n",
       "\n",
       "   price_range  \n",
       "0            1  \n",
       "1            2  \n",
       "2            2  \n",
       "3            2  \n",
       "4            1  \n",
       "5            1  \n",
       "6            3  \n",
       "7            0  \n",
       "8            0  \n",
       "9            0  "
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[categorical_num_features].head(10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "DISTRIBUTION OF CATEGORICAL FEATURES"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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D1q3ck+xJ8mSSp5JctV7bkSS93rqUe5JNwCeBnwLOAi5JctZ6bEuS9Hrrted+HvBUVf1JVf0FMAtcuE7bkiQtkKpa+ydNfg7YU1X/srt/KfB3q+oX+9bZC+zt7r4VeHKETZ4K/PkI44+njZQVNlZes66fjZR3I2WF0fL+UFW9ebEHNg+fZ1lZZNl3/RSpqv3A/jXZWPJQVU2vxXOtt42UFTZWXrOun42UdyNlhfXLu16HZQ4Bp/fdPw14bp22JUlaYL3K/UHgzCRnJPlrwMXAXeu0LUnSAutyWKaqjiX5ReBLwCbguqp6bD221VmTwzvHyUbKChsrr1nXz0bKu5GywjrlXZc/qEqSxssrVCWpQZa7JDVow5Z7kuuSHEny6LizDCLJ6UnuS/JEkseSfHDcmZaS5PuTPJDk613WfzfuTCtJsinJ/0ry+XFnWUmSg0nmkjyS5KFx51lJkpOT3Jrkj7rP70+MO9Nikry1e097Xy8l+dC4cy0lyb/p/n09muTmJN+/ps+/UY+5J/lJ4GXgt6vq7HHnWUmS7cD2qno4yRuBA8BFVfX4mKO9TpIAW6rq5SRvAL4KfLCqvjbmaEtK8kvANPADVfXT486znCQHgemq2hAX2iS5AfgfVfXZ7uy3k6rqm2OOtaxuCpRnmb948v+MO89CSXYw/+/qrKp6JcktwBeq6vq12saG3XOvqvuBF8adY1BV9XxVPdzd/hbwBLBjvKkWV/Ne7u6+ofua2L2AJKcB7wY+O+4srUnyA8BPAtcCVNVfTHqxdy4A/vckFnufzcCJSTYDJ7HG1wJt2HLfyJLsBN4O/MGYoyypO8zxCHAEuKeqJjYr8B+BXwb+csw5BlXAl5Mc6KbhmGR/HfgG8FvdYa/PJtky7lADuBi4edwhllJVzwK/DjwDPA8craovr+U2LPfjLMlW4DbgQ1X10rjzLKWqXquqc5i/uvi8JBN56CvJTwNHqurAuLOswvlV9aPMz5p6RXeIcVJtBn4U+HRVvR34NjDRU3h3h45+Bviv486ylCSnMD+Z4hnAW4AtSf75Wm7Dcj+OuuPXtwE3VdXt484ziO5X8K8Ae8abZEnnAz/THceeBf5hkhvHG2l5VfVc9/0IcAfzs6hOqkPAob7f3G5lvuwn2U8BD1fV4XEHWcY/Ap6uqm9U1XeA24G/t5YbsNyPk+6PlNcCT1TVx8adZzlJ3pzk5O72icx/EP9orKGWUFVXV9VpVbWT+V/F/3tVreke0FpKsqX7gzrd4Y13ABN7xldV/Rnwp0ne2i26AJi4kwAWuIQJPiTTeQb48SQndd1wAfN/h1szG7bck9wM/D7w1iSHkrxv3JlWcD5wKfN7lr1Ttd417lBL2A7cl+QPmZ8n6J6qmvhTDDeIKeCrSb4OPADcXVW/M+ZMK/kAcFP3eTgH+A/jjbO0JCcB/5j5PeGJ1f0mdCvwMDDHfBev6TQEG/ZUSEnS0jbsnrskaWmWuyQ1yHKXpAZZ7pLUIMtdkhpkuUsj6CaokiaO5a5mJdnZTVH7mW5q1S93F2Uttu7fTPK73TTHDyf5G5n30W5K1rkkP9+tO9NN3/w5YK6bh+ejSR5M8odJ3t+ttz3J/d01DY8m+QfH8eXre9y6/B+q0gQ5E7ikqv5VN63qPwUWm57gJuAjVXVHN6/29wH/hPmLdn4EOBV4MMn93frnAWdX1dPd5F9Hq+rHkpwA/M8kX+7Gf6mqrun28E9ax9cpfRfLXa17uqoe6W4fAHYuXKGbDmBHVd0BUFX/r1v+94Gbq+o14HCS3wN+DHgJeKCqnu6e4h3A30nyc939bcz/UHkQuK6bU+i/9eWQ1p3lrta92nf7NWCxwzJZYuxSy2F+dsT+9T5QVV963RPMz/j4buA/J/loVf32CnmlNeExd33P66ZePpTkIoAkJ3RzlNwP/Hx3TP3NzP+nFQ8s8hRfAv51t4dOkh/uJgj7IeanI/4M85PGTfpsimqIe+7SvEuB30zy74HvAO9hfjrenwC+zvx/sPHLVfVnSf7WgrGfZf5wz8PdDH/fAC4CZoB/m+Q7zP+XkP9i/V+GNM+JwySpQR6WkaQGeVhG31OSfJL5ufX7/aeq+q1x5JHWi4dlJKlBHpaRpAZZ7pLUIMtdkhpkuUtSgyx3SWrQ/wfZgudjrjsaOQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for column in categorical_num_features:\n",
    "    df[column].hist(bins =20)\n",
    "    plt.xlabel(column)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "CHECK FOR OUTLIERS "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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u0oi6M/obquqKdV6KNJBn6JLUCM/QdVJLch3PfinkF6rK14brhGPQJakRXnKRpEYYdElqhEGXpEYYdElqxP8BCNSPxgr7QmwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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f92rlU2+dc5EAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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vSY0z6CWpcQa9JDXOoJekxhn0WvOSrEuyI8n9SXYneXuS1yb5137bt5KsH3LsziSv7m9/O8lH+9sfT/IHq/l3SMN0+j56qRGbgdmquhQgyYuBbwNvr6q7kvwi8MyQY28H3pBkH3AIuKDf/hvAF8ZatbRE3tFL8ADwxiSfSPIG4GXAY1V1F0BVPVVVh4Ycewfwm8wF+w7gRUleCGyoqkdWoXZpUd7Ra82rqu8m+XXmfvbyz4FbgKV+wOQuYBLYC9zK3Jee/SFwzxhKlUbiHb3WvCSnAU9X1ReAvwBeB5yW5LX9/vVJBt4UVdWzwKPA24A7mbvD/1D/XToqeEcvwauATyb5OfBT4H1AgL9O8gLm1uffCBwccvwdwEVV9XSSO4AzMOh1FPErECSpcS7dSFLjXLqRliDJbwOfWND8n1X1liNRj7QcLt1IUuNcupGkxhn0ktQ4g16SGmfQS1Lj/hdb4UdBbuo2wAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for column in  continuous_num_features:\n",
    "    df.boxplot(column = column)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "THIS DATASET HAS VERY LESS OUTLIERS ONLY fc AND px_height HAS A FEW OUTLIERS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}