iris_EDA.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>.container { width:95% !important; }</style>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from IPython.core.display import display, HTML\n",
    "display(HTML(\"<style>.container { width:95% !important; }</style>\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "$(document).ready(\n",
       "    function() {\n",
       "        function appendUniqueDiv(){\n",
       "            // append a div with our uuid so we can check that it's already\n",
       "            // been sent and avoid duplicates on page reload\n",
       "            var notifiedDiv = document.createElement(\"div\")\n",
       "            notifiedDiv.id = \"bf2f03b7-d547-469f-ad57-e7fc048d8251\"\n",
       "            element.append(notifiedDiv)\n",
       "        }\n",
       "\n",
       "        // only send notifications if the pageload is complete; this will\n",
       "        // help stop extra notifications when a saved notebook is loaded,\n",
       "        // which during testing gives us state \"interactive\", not \"complete\"\n",
       "        if (document.readyState === 'complete') {\n",
       "            // check for the div that signifies that the notification\n",
       "            // was already sent\n",
       "            if (document.getElementById(\"bf2f03b7-d547-469f-ad57-e7fc048d8251\") === null) {\n",
       "                var notificationPayload = {\"requireInteraction\": false, \"icon\": \"/static/base/images/favicon.ico\", \"body\": \"Cell execution has finished!\"};\n",
       "                if (Notification.permission !== 'denied') {\n",
       "                    if (Notification.permission !== 'granted') { \n",
       "                        Notification.requestPermission(function (permission) {\n",
       "                            if(!('permission' in Notification)) {\n",
       "                                Notification.permission = permission\n",
       "                            }\n",
       "                        })\n",
       "                    }\n",
       "                    if (Notification.permission === 'granted') {\n",
       "                    var notification = new Notification(\"Jupyter Notebook\", notificationPayload)\n",
       "                    appendUniqueDiv()\n",
       "                    notification.onclick = function () {\n",
       "                        window.focus();\n",
       "                        this.close();\n",
       "                        };\n",
       "                    } \n",
       "                }     \n",
       "            }\n",
       "        }\n",
       "    }\n",
       ")\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%notify\n",
    "iris_df = pd.read_csv('iris.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "149"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(iris_df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "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>5.1</th>\n",
       "      <th>3.5</th>\n",
       "      <th>1.4</th>\n",
       "      <th>0.2</th>\n",
       "      <th>Iris-setosa</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>4.9</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>4.7</td>\n",
       "      <td>3.2</td>\n",
       "      <td>1.3</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>4.6</td>\n",
       "      <td>3.1</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>5.0</td>\n",
       "      <td>3.6</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5.4</td>\n",
       "      <td>3.9</td>\n",
       "      <td>1.7</td>\n",
       "      <td>0.4</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>4.6</td>\n",
       "      <td>3.4</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.3</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>5.0</td>\n",
       "      <td>3.4</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>4.4</td>\n",
       "      <td>2.9</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>4.9</td>\n",
       "      <td>3.1</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.1</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>5.4</td>\n",
       "      <td>3.7</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>4.8</td>\n",
       "      <td>3.4</td>\n",
       "      <td>1.6</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>4.8</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.1</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>4.3</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>5.8</td>\n",
       "      <td>4.0</td>\n",
       "      <td>1.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>5.7</td>\n",
       "      <td>4.4</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.4</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>5.4</td>\n",
       "      <td>3.9</td>\n",
       "      <td>1.3</td>\n",
       "      <td>0.4</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>5.1</td>\n",
       "      <td>3.5</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.3</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>5.7</td>\n",
       "      <td>3.8</td>\n",
       "      <td>1.7</td>\n",
       "      <td>0.3</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>5.1</td>\n",
       "      <td>3.8</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.3</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>5.4</td>\n",
       "      <td>3.4</td>\n",
       "      <td>1.7</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>5.1</td>\n",
       "      <td>3.7</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.4</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>4.6</td>\n",
       "      <td>3.6</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>5.1</td>\n",
       "      <td>3.3</td>\n",
       "      <td>1.7</td>\n",
       "      <td>0.5</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>4.8</td>\n",
       "      <td>3.4</td>\n",
       "      <td>1.9</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.6</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>5.0</td>\n",
       "      <td>3.4</td>\n",
       "      <td>1.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>5.2</td>\n",
       "      <td>3.5</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>5.2</td>\n",
       "      <td>3.4</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>4.7</td>\n",
       "      <td>3.2</td>\n",
       "      <td>1.6</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>4.8</td>\n",
       "      <td>3.1</td>\n",
       "      <td>1.6</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>119</th>\n",
       "      <td>6.9</td>\n",
       "      <td>3.2</td>\n",
       "      <td>5.7</td>\n",
       "      <td>2.3</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>120</th>\n",
       "      <td>5.6</td>\n",
       "      <td>2.8</td>\n",
       "      <td>4.9</td>\n",
       "      <td>2.0</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>121</th>\n",
       "      <td>7.7</td>\n",
       "      <td>2.8</td>\n",
       "      <td>6.7</td>\n",
       "      <td>2.0</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>122</th>\n",
       "      <td>6.3</td>\n",
       "      <td>2.7</td>\n",
       "      <td>4.9</td>\n",
       "      <td>1.8</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>123</th>\n",
       "      <td>6.7</td>\n",
       "      <td>3.3</td>\n",
       "      <td>5.7</td>\n",
       "      <td>2.1</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>124</th>\n",
       "      <td>7.2</td>\n",
       "      <td>3.2</td>\n",
       "      <td>6.0</td>\n",
       "      <td>1.8</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>125</th>\n",
       "      <td>6.2</td>\n",
       "      <td>2.8</td>\n",
       "      <td>4.8</td>\n",
       "      <td>1.8</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>126</th>\n",
       "      <td>6.1</td>\n",
       "      <td>3.0</td>\n",
       "      <td>4.9</td>\n",
       "      <td>1.8</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>127</th>\n",
       "      <td>6.4</td>\n",
       "      <td>2.8</td>\n",
       "      <td>5.6</td>\n",
       "      <td>2.1</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>128</th>\n",
       "      <td>7.2</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.8</td>\n",
       "      <td>1.6</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>129</th>\n",
       "      <td>7.4</td>\n",
       "      <td>2.8</td>\n",
       "      <td>6.1</td>\n",
       "      <td>1.9</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>130</th>\n",
       "      <td>7.9</td>\n",
       "      <td>3.8</td>\n",
       "      <td>6.4</td>\n",
       "      <td>2.0</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>131</th>\n",
       "      <td>6.4</td>\n",
       "      <td>2.8</td>\n",
       "      <td>5.6</td>\n",
       "      <td>2.2</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>132</th>\n",
       "      <td>6.3</td>\n",
       "      <td>2.8</td>\n",
       "      <td>5.1</td>\n",
       "      <td>1.5</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>133</th>\n",
       "      <td>6.1</td>\n",
       "      <td>2.6</td>\n",
       "      <td>5.6</td>\n",
       "      <td>1.4</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>134</th>\n",
       "      <td>7.7</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.1</td>\n",
       "      <td>2.3</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>135</th>\n",
       "      <td>6.3</td>\n",
       "      <td>3.4</td>\n",
       "      <td>5.6</td>\n",
       "      <td>2.4</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>136</th>\n",
       "      <td>6.4</td>\n",
       "      <td>3.1</td>\n",
       "      <td>5.5</td>\n",
       "      <td>1.8</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>137</th>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>4.8</td>\n",
       "      <td>1.8</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>138</th>\n",
       "      <td>6.9</td>\n",
       "      <td>3.1</td>\n",
       "      <td>5.4</td>\n",
       "      <td>2.1</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>139</th>\n",
       "      <td>6.7</td>\n",
       "      <td>3.1</td>\n",
       "      <td>5.6</td>\n",
       "      <td>2.4</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>140</th>\n",
       "      <td>6.9</td>\n",
       "      <td>3.1</td>\n",
       "      <td>5.1</td>\n",
       "      <td>2.3</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>141</th>\n",
       "      <td>5.8</td>\n",
       "      <td>2.7</td>\n",
       "      <td>5.1</td>\n",
       "      <td>1.9</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>142</th>\n",
       "      <td>6.8</td>\n",
       "      <td>3.2</td>\n",
       "      <td>5.9</td>\n",
       "      <td>2.3</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>143</th>\n",
       "      <td>6.7</td>\n",
       "      <td>3.3</td>\n",
       "      <td>5.7</td>\n",
       "      <td>2.5</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>144</th>\n",
       "      <td>6.7</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.2</td>\n",
       "      <td>2.3</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>145</th>\n",
       "      <td>6.3</td>\n",
       "      <td>2.5</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1.9</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>146</th>\n",
       "      <td>6.5</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.2</td>\n",
       "      <td>2.0</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>147</th>\n",
       "      <td>6.2</td>\n",
       "      <td>3.4</td>\n",
       "      <td>5.4</td>\n",
       "      <td>2.3</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>148</th>\n",
       "      <td>5.9</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.1</td>\n",
       "      <td>1.8</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>149 rows × 5 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     5.1  3.5  1.4  0.2     Iris-setosa\n",
       "0    4.9  3.0  1.4  0.2     Iris-setosa\n",
       "1    4.7  3.2  1.3  0.2     Iris-setosa\n",
       "2    4.6  3.1  1.5  0.2     Iris-setosa\n",
       "3    5.0  3.6  1.4  0.2     Iris-setosa\n",
       "4    5.4  3.9  1.7  0.4     Iris-setosa\n",
       "..   ...  ...  ...  ...             ...\n",
       "144  6.7  3.0  5.2  2.3  Iris-virginica\n",
       "145  6.3  2.5  5.0  1.9  Iris-virginica\n",
       "146  6.5  3.0  5.2  2.0  Iris-virginica\n",
       "147  6.2  3.4  5.4  2.3  Iris-virginica\n",
       "148  5.9  3.0  5.1  1.8  Iris-virginica\n",
       "\n",
       "[149 rows x 5 columns]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iris_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "iris_df.columns = ['sepal length','sepal_width','petal length','petal_width','species']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>sepal length</th>\n",
       "      <th>sepal_width</th>\n",
       "      <th>petal length</th>\n",
       "      <th>petal_width</th>\n",
       "      <th>species</th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
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       "      <th>0</th>\n",
       "      <td>4.9</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>4.7</td>\n",
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       "      <td>4.6</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5.4</td>\n",
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       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>4.6</td>\n",
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       "      <td>Iris-setosa</td>\n",
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       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>5.0</td>\n",
       "      <td>3.4</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>4.4</td>\n",
       "      <td>2.9</td>\n",
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       "      <td>Iris-setosa</td>\n",
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       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>4.9</td>\n",
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       "      <td>Iris-setosa</td>\n",
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       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>5.4</td>\n",
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       "      <td>Iris-setosa</td>\n",
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       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>4.8</td>\n",
       "      <td>3.4</td>\n",
       "      <td>1.6</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
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       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>4.8</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.1</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>4.3</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>5.8</td>\n",
       "      <td>4.0</td>\n",
       "      <td>1.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>5.7</td>\n",
       "      <td>4.4</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.4</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>5.4</td>\n",
       "      <td>3.9</td>\n",
       "      <td>1.3</td>\n",
       "      <td>0.4</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>5.1</td>\n",
       "      <td>3.5</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.3</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>5.7</td>\n",
       "      <td>3.8</td>\n",
       "      <td>1.7</td>\n",
       "      <td>0.3</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>5.1</td>\n",
       "      <td>3.8</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.3</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>5.4</td>\n",
       "      <td>3.4</td>\n",
       "      <td>1.7</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>5.1</td>\n",
       "      <td>3.7</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.4</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>4.6</td>\n",
       "      <td>3.6</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>5.1</td>\n",
       "      <td>3.3</td>\n",
       "      <td>1.7</td>\n",
       "      <td>0.5</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>4.8</td>\n",
       "      <td>3.4</td>\n",
       "      <td>1.9</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.6</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>5.0</td>\n",
       "      <td>3.4</td>\n",
       "      <td>1.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>5.2</td>\n",
       "      <td>3.5</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>5.2</td>\n",
       "      <td>3.4</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>4.7</td>\n",
       "      <td>3.2</td>\n",
       "      <td>1.6</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>4.8</td>\n",
       "      <td>3.1</td>\n",
       "      <td>1.6</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>119</th>\n",
       "      <td>6.9</td>\n",
       "      <td>3.2</td>\n",
       "      <td>5.7</td>\n",
       "      <td>2.3</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>120</th>\n",
       "      <td>5.6</td>\n",
       "      <td>2.8</td>\n",
       "      <td>4.9</td>\n",
       "      <td>2.0</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>121</th>\n",
       "      <td>7.7</td>\n",
       "      <td>2.8</td>\n",
       "      <td>6.7</td>\n",
       "      <td>2.0</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>122</th>\n",
       "      <td>6.3</td>\n",
       "      <td>2.7</td>\n",
       "      <td>4.9</td>\n",
       "      <td>1.8</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>123</th>\n",
       "      <td>6.7</td>\n",
       "      <td>3.3</td>\n",
       "      <td>5.7</td>\n",
       "      <td>2.1</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>124</th>\n",
       "      <td>7.2</td>\n",
       "      <td>3.2</td>\n",
       "      <td>6.0</td>\n",
       "      <td>1.8</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>125</th>\n",
       "      <td>6.2</td>\n",
       "      <td>2.8</td>\n",
       "      <td>4.8</td>\n",
       "      <td>1.8</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>126</th>\n",
       "      <td>6.1</td>\n",
       "      <td>3.0</td>\n",
       "      <td>4.9</td>\n",
       "      <td>1.8</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>127</th>\n",
       "      <td>6.4</td>\n",
       "      <td>2.8</td>\n",
       "      <td>5.6</td>\n",
       "      <td>2.1</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>128</th>\n",
       "      <td>7.2</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.8</td>\n",
       "      <td>1.6</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>129</th>\n",
       "      <td>7.4</td>\n",
       "      <td>2.8</td>\n",
       "      <td>6.1</td>\n",
       "      <td>1.9</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>130</th>\n",
       "      <td>7.9</td>\n",
       "      <td>3.8</td>\n",
       "      <td>6.4</td>\n",
       "      <td>2.0</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>131</th>\n",
       "      <td>6.4</td>\n",
       "      <td>2.8</td>\n",
       "      <td>5.6</td>\n",
       "      <td>2.2</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>132</th>\n",
       "      <td>6.3</td>\n",
       "      <td>2.8</td>\n",
       "      <td>5.1</td>\n",
       "      <td>1.5</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>133</th>\n",
       "      <td>6.1</td>\n",
       "      <td>2.6</td>\n",
       "      <td>5.6</td>\n",
       "      <td>1.4</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>134</th>\n",
       "      <td>7.7</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.1</td>\n",
       "      <td>2.3</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>135</th>\n",
       "      <td>6.3</td>\n",
       "      <td>3.4</td>\n",
       "      <td>5.6</td>\n",
       "      <td>2.4</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>136</th>\n",
       "      <td>6.4</td>\n",
       "      <td>3.1</td>\n",
       "      <td>5.5</td>\n",
       "      <td>1.8</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>137</th>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>4.8</td>\n",
       "      <td>1.8</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>138</th>\n",
       "      <td>6.9</td>\n",
       "      <td>3.1</td>\n",
       "      <td>5.4</td>\n",
       "      <td>2.1</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>139</th>\n",
       "      <td>6.7</td>\n",
       "      <td>3.1</td>\n",
       "      <td>5.6</td>\n",
       "      <td>2.4</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>140</th>\n",
       "      <td>6.9</td>\n",
       "      <td>3.1</td>\n",
       "      <td>5.1</td>\n",
       "      <td>2.3</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>141</th>\n",
       "      <td>5.8</td>\n",
       "      <td>2.7</td>\n",
       "      <td>5.1</td>\n",
       "      <td>1.9</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>142</th>\n",
       "      <td>6.8</td>\n",
       "      <td>3.2</td>\n",
       "      <td>5.9</td>\n",
       "      <td>2.3</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>143</th>\n",
       "      <td>6.7</td>\n",
       "      <td>3.3</td>\n",
       "      <td>5.7</td>\n",
       "      <td>2.5</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>144</th>\n",
       "      <td>6.7</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.2</td>\n",
       "      <td>2.3</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>145</th>\n",
       "      <td>6.3</td>\n",
       "      <td>2.5</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1.9</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>146</th>\n",
       "      <td>6.5</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.2</td>\n",
       "      <td>2.0</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>147</th>\n",
       "      <td>6.2</td>\n",
       "      <td>3.4</td>\n",
       "      <td>5.4</td>\n",
       "      <td>2.3</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>148</th>\n",
       "      <td>5.9</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.1</td>\n",
       "      <td>1.8</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>149 rows × 5 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     sepal length  sepal_width  petal length  petal_width         species\n",
       "0             4.9          3.0           1.4          0.2     Iris-setosa\n",
       "1             4.7          3.2           1.3          0.2     Iris-setosa\n",
       "2             4.6          3.1           1.5          0.2     Iris-setosa\n",
       "3             5.0          3.6           1.4          0.2     Iris-setosa\n",
       "4             5.4          3.9           1.7          0.4     Iris-setosa\n",
       "..            ...          ...           ...          ...             ...\n",
       "144           6.7          3.0           5.2          2.3  Iris-virginica\n",
       "145           6.3          2.5           5.0          1.9  Iris-virginica\n",
       "146           6.5          3.0           5.2          2.0  Iris-virginica\n",
       "147           6.2          3.4           5.4          2.3  Iris-virginica\n",
       "148           5.9          3.0           5.1          1.8  Iris-virginica\n",
       "\n",
       "[149 rows x 5 columns]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iris_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(149, 5)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iris_df.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Iris-virginica     50\n",
       "Iris-versicolor    50\n",
       "Iris-setosa        49\n",
       "Name: species, dtype: int64"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iris_df['species'].value_counts()  # to know the number of values in each class\n",
    "# since here all 3 class have almost eqaul number of rows hence it is a balanced datasets."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2D scatter plot "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x11a81770>"
      ]
     },
     "execution_count": 10,
     "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": [
    "iris_df.plot(kind='scatter',x = 'sepal length', y = 'sepal_width')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x105a150>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 311.875x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.set_style('whitegrid')\n",
    "sns.FacetGrid(iris_df, hue='species').map(plt.scatter,'sepal length', 'sepal_width').add_legend()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "Observation:-\n",
    "1. Iris setosa can be easily separated as it is well seperated from each other.\n",
    "2. Sepal length and Sepal width can seperate Iris-setosa well. Hence it is linearly seperable.\n",
    "3. the other class are overlapped hence can't be seperated "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3-D scatter plots "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "pairplot is used to visualise higher dimensions. It takes the pairs of features and plot it.\n",
    "Plot pairwise relationships in a dataset.\n",
    "\n",
    "By default, this function will create a grid of Axes such that each\n",
    "variable in ``data`` will by shared in the y-axis across a single row and\n",
    "in the x-axis across a single column. The diagonal Axes are treated\n",
    "differently, drawing a plot to show the univariate distribution of the data\n",
    "for the variable in that column."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.PairGrid at 0x130f2d0>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1535.88x1440 with 20 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.set_style('whitegrid');\n",
    "sns.pairplot(iris_df,hue='species',kind='scatter',height = 5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Observations:\n",
    "1. Petal length and Petal width are the most important features to identify various flower types.\n",
    "2. While setosa can be easily identified, the other 2 classes are overlapped(are not linearly seperable).\n",
    "3. we can easily draw a line between the setosa and if else to classify the other 2 classes\n",
    "\n",
    "\n",
    "Limitations:\n",
    "They are easy to understand but when the dimensions of the data increases they pairplot becomes difficult to understand as there are so many plots to go through.\n",
    "for such cases  we use PCA, linearly Algebra, t-SNE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Histograms/ CDF/ PDF "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1813890>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "iris_setosa = iris_df.loc[iris_df['species']=='Iris-setosa']\n",
    "iris_virginica = iris_df.loc[iris_df['species']=='Iris-virginica']\n",
    "iris_versicolor = iris_df.loc[iris_df['species']=='Iris-versicolor']\n",
    "\n",
    "plt.xlabel('Petal Length')\n",
    "plt.ylabel('count')\n",
    "plt.plot(iris_setosa['petal length'], np.zeros_like(iris_setosa['petal length']) , 'bo',label='Setosa')\n",
    "plt.plot(iris_virginica['petal length'], np.zeros_like(iris_virginica['petal length']) , 'ro',label='Virginica')\n",
    "plt.plot(iris_versicolor['petal length'], np.zeros_like(iris_versicolor['petal length']) , 'go',label='Versicolor') # np.zeros_like will return a array of zeros same shape as of the argument\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is a 1 D scatter plot.\n",
    "Now some points in the above plots are visibl but there are regions where you don't know that how many points exists in that space like between 4 and 5.\n",
    "so, what we do is we divide the regions into smaller sub-regions and take the counts of the number of datapoints exists between those points on Y-axis.\n",
    "on X-axis we take our 1 varriable . Such plots are called Histogram."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x1765150>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 455.875x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# histogram of petal length of all three class\n",
    "sns.FacetGrid(iris_df, hue='species', height=5)\\\n",
    "    .map(sns.distplot, 'petal length')\\\n",
    "    .add_legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "PDF(probability density function) are smoothed histogram.they are smoothed using kernel density estimation\n",
    "## Observations\n",
    "1. we cannot find any setosa flower which is more that 2.5 hence it can be easily identified and seperated.\n",
    "2. The PDF's of verginica and versicolor are overlapping, hence cant be separated perfectly.\n",
    "3. At the overlapped area we should see which class have more density at that point, the class having more density will have more points at that point.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Univariate Analysis "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this we will analyse each of the variable separately. \n",
    "points to remember about PDF is that the best plot is the one which has no overlap or minimum overlap, and further the plots the better plot it is.\n",
    "Below the plot with respect to each variable is given. If we have to choose any one of the feature we should choose petal_length and it is separating setosa perfectly,whereas petal_width also does the fairly good job but since there is a small intersection between setosa and versicolor the other feature is much better.\n",
    "BUt, incase we need 2 features we must see the pairplot and decide. \n",
    "\n",
    "Sepal length and sepal width does a very poor job and should not be used here as there is a large intersection between the plot's area. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x13e24d90>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 455.875x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.FacetGrid(iris_df,hue = 'species',height=5)\\\n",
    ".map(sns.distplot,'petal_width').add_legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x13ea56b0>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 455.875x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.FacetGrid(iris_df,hue = 'species',height=5)\\\n",
    ".map(sns.distplot,'petal length').add_legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x1485ae10>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 455.875x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.FacetGrid(iris_df,hue = 'species',height=5)\\\n",
    ".map(sns.distplot,'sepal length').add_legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x148c2c50>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 455.875x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.FacetGrid(iris_df,hue = 'species',height=5)\\\n",
    ".map(sns.distplot,'sepal_width').add_legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Cumulative distribution Function (CDF)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "PDF tells us that how many points have X petal_length.\n",
    "whereas, CDF tells us how that 80%(or y probability) of setosa flowers have less than x petal_length.\n",
    "\n",
    "here X is petal_length and Y is probability.\n",
    "So, CDF is area under the PDF curve till the point and if we differentiate CDF we get PDF. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.24161074 0.08724832 0.         0.02013423 0.05369128 0.17449664\n",
      " 0.19463087 0.12080537 0.0738255  0.03355705]\n",
      "[1.   1.59 2.18 2.77 3.36 3.95 4.54 5.13 5.72 6.31 6.9 ]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plots CDF of petal_length\n",
    "counts, bin_edges = np.histogram(iris_df['petal length'],bins=10,density=True)\n",
    "pdf = counts/(sum(counts))\n",
    "print(pdf)\n",
    "print(bin_edges)\n",
    "\n",
    "\n",
    "#CDF\n",
    "cdf = np.cumsum(pdf)\n",
    "plt.plot(bin_edges[1:],pdf)\n",
    "plt.plot(bin_edges[1:],cdf)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.02040816 0.02040816 0.04081633 0.14285714 0.2244898  0.28571429\n",
      " 0.14285714 0.08163265 0.         0.04081633]\n",
      "[1.   1.09 1.18 1.27 1.36 1.45 1.54 1.63 1.72 1.81 1.9 ]\n",
      "[0.02 0.04 0.06 0.04 0.16 0.14 0.12 0.2  0.14 0.08]\n",
      "[3.   3.21 3.42 3.63 3.84 4.05 4.26 4.47 4.68 4.89 5.1 ]\n",
      "[0.02 0.1  0.24 0.08 0.18 0.16 0.1  0.04 0.02 0.06]\n",
      "[4.5  4.74 4.98 5.22 5.46 5.7  5.94 6.18 6.42 6.66 6.9 ]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x169aba50>]"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#why is  CDF useful \n",
    "counts1, bin_edges1 = np.histogram(iris_setosa['petal length'],bins=10,density=True)\n",
    "pdf1 = counts1/(sum(counts1))\n",
    "print(pdf1)\n",
    "print(bin_edges1)\n",
    "\n",
    "#CDF\n",
    "cdf1 = np.cumsum(pdf1)\n",
    "plt.plot(bin_edges1[1:],pdf1)\n",
    "plt.plot(bin_edges1[1:],cdf1)\n",
    "\n",
    "\n",
    "\n",
    "counts3, bin_edges3 = np.histogram(iris_versicolor['petal length'],bins=10,density=True)\n",
    "pdf3 = counts3/(sum(counts3))\n",
    "print(pdf3)\n",
    "print(bin_edges3)\n",
    "\n",
    "#CDF\n",
    "cdf3 = np.cumsum(pdf3)\n",
    "plt.plot(bin_edges3[1:],pdf3)\n",
    "plt.plot(bin_edges3[1:],cdf3)\n",
    "\n",
    "\n",
    "counts2, bin_edges2 = np.histogram(iris_virginica['petal length'],bins=10,density=True)\n",
    "pdf2 = counts2/(sum(counts2))\n",
    "print(pdf2)\n",
    "print(bin_edges2)\n",
    "\n",
    "#CDF\n",
    "cdf2 = np.cumsum(pdf2)\n",
    "plt.plot(bin_edges2[1:],pdf2)\n",
    "plt.plot(bin_edges2[1:],cdf2)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "if we look at the point of interection of PDF of Virginica and versicolor plants at petal_length=5 ,\n",
    "if petal_length >2 and petal_length<=5 then 'Versicolor'\n",
    "if petal_legth>2 and petal_length>5 then 'Virginica'\n",
    "\n",
    "in the graph middle one is versicolor\n",
    "so if petal_length<5 and if 95% of the time versicolor will be the correct answer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.12244898 0.         0.55102041 0.14285714 0.         0.\n",
      " 0.14285714 0.         0.02040816 0.02040816]\n",
      "[0.1  0.15 0.2  0.25 0.3  0.35 0.4  0.45 0.5  0.55 0.6 ]\n",
      "[0.14 0.06 0.1  0.26 0.   0.14 0.2  0.06 0.02 0.02]\n",
      "[1.   1.08 1.16 1.24 1.32 1.4  1.48 1.56 1.64 1.72 1.8 ]\n",
      "[0.06 0.02 0.02 0.22 0.1  0.12 0.12 0.06 0.16 0.12]\n",
      "[1.4  1.51 1.62 1.73 1.84 1.95 2.06 2.17 2.28 2.39 2.5 ]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x169f1c30>]"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#why is  CDF useful \n",
    "counts1, bin_edges1 = np.histogram(iris_setosa['petal_width'],bins=10,density=True)\n",
    "pdf1 = counts1/(sum(counts1))\n",
    "print(pdf1)\n",
    "print(bin_edges1)\n",
    "\n",
    "#CDF\n",
    "cdf1 = np.cumsum(pdf1)\n",
    "plt.plot(bin_edges1[1:],pdf1)\n",
    "plt.plot(bin_edges1[1:],cdf1)\n",
    "\n",
    "\n",
    "\n",
    "counts3, bin_edges3 = np.histogram(iris_versicolor['petal_width'],bins=10,density=True)\n",
    "pdf3 = counts3/(sum(counts3))\n",
    "print(pdf3)\n",
    "print(bin_edges3)\n",
    "\n",
    "#CDF\n",
    "cdf3 = np.cumsum(pdf3)\n",
    "plt.plot(bin_edges3[1:],pdf3)\n",
    "plt.plot(bin_edges3[1:],cdf3)\n",
    "\n",
    "\n",
    "\n",
    "counts2, bin_edges2 = np.histogram(iris_virginica['petal_width'],bins=10,density=True)\n",
    "pdf2 = counts2/(sum(counts2))\n",
    "print(pdf2)\n",
    "print(bin_edges2)\n",
    "\n",
    "#CDF\n",
    "cdf2 = np.cumsum(pdf2)\n",
    "plt.plot(bin_edges2[1:],pdf2)\n",
    "plt.plot(bin_edges2[1:],cdf2)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Mean Variance and std-dev "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.plot("
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}