2743 lines
875 KiB
Plaintext
2743 lines
875 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {
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"id": "xwFyEsosINqT"
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},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import pandas as pd"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {
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"id": "pKewSQysItJ-"
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},
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"outputs": [],
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"source": [
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"# https://www.statsmodels.org/stable/index.html\n",
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"import statsmodels.api as sm"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {
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"id": "Lz-DyAtNWsJR"
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},
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"outputs": [],
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"source": [
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"# Download Dataset from https://www.dropbox.com/scl/fi/v7c1c8a3cnncuv1fo28es/Wages.xlsx?rlkey=vli12nwph687hvn9jskgf73a1&st=s862pfm6&dl=1\n",
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"# and add it to colab"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {
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"id": "0zM8FGMJXJ70"
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},
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"outputs": [],
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"source": [
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"# wagesDf = pd.read_excel(\"./Wages.xlsx\")\n",
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"wagesDf = pd.read_excel(\"https://www.dropbox.com/scl/fi/v7c1c8a3cnncuv1fo28es/Wages.xlsx?rlkey=vli12nwph687hvn9jskgf73a1&st=s862pfm6&dl=1\")"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {
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"colab": {
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"base_uri": "https://localhost:8080/",
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"height": 423
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},
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"id": "wsIgDGYcXT_z",
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"outputId": "ea121018-2592-4214-8f58-69fa61183858"
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},
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"outputs": [
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{
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"data": {
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"text/html": [
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"<div>\n",
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"<style scoped>\n",
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" .dataframe tbody tr th:only-of-type {\n",
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" vertical-align: middle;\n",
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" }\n",
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"\n",
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" .dataframe tbody tr th {\n",
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" vertical-align: top;\n",
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" }\n",
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"\n",
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" .dataframe thead th {\n",
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" text-align: right;\n",
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" }\n",
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"</style>\n",
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"<table border=\"1\" class=\"dataframe\">\n",
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" <thead>\n",
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" <tr style=\"text-align: right;\">\n",
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" <th></th>\n",
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" <th>Wage</th>\n",
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" <th>Educ</th>\n",
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" <th>Age</th>\n",
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" </tr>\n",
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" </thead>\n",
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" <tbody>\n",
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" <tr>\n",
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" <th>0</th>\n",
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" <td>17.54</td>\n",
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" <td>12</td>\n",
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" <td>76</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>1</th>\n",
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" <td>20.93</td>\n",
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" <td>10</td>\n",
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" <td>61</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>2</th>\n",
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" <td>12.94</td>\n",
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" <td>8</td>\n",
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" <td>75</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>3</th>\n",
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" <td>19.34</td>\n",
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" <td>6</td>\n",
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" <td>38</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>4</th>\n",
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" <td>24.12</td>\n",
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" <td>12</td>\n",
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" <td>59</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>...</th>\n",
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" <td>...</td>\n",
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" <td>...</td>\n",
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" <td>...</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>75</th>\n",
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" <td>25.64</td>\n",
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" <td>14</td>\n",
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" <td>74</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>76</th>\n",
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" <td>38.77</td>\n",
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" <td>21</td>\n",
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" <td>41</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>77</th>\n",
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" <td>21.87</td>\n",
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" <td>15</td>\n",
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" <td>75</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>78</th>\n",
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" <td>27.54</td>\n",
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" <td>20</td>\n",
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" <td>46</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>79</th>\n",
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" <td>23.66</td>\n",
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" <td>12</td>\n",
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" <td>49</td>\n",
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" </tr>\n",
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" </tbody>\n",
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"</table>\n",
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"<p>80 rows × 3 columns</p>\n",
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"</div>"
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],
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"text/plain": [
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" Wage Educ Age\n",
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"0 17.54 12 76\n",
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"1 20.93 10 61\n",
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"2 12.94 8 75\n",
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"3 19.34 6 38\n",
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"4 24.12 12 59\n",
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".. ... ... ...\n",
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"75 25.64 14 74\n",
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"76 38.77 21 41\n",
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"77 21.87 15 75\n",
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"78 27.54 20 46\n",
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"79 23.66 12 49\n",
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"\n",
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"[80 rows x 3 columns]"
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]
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},
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"execution_count": 5,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"wagesDf"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"metadata": {
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"colab": {
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"base_uri": "https://localhost:8080/"
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},
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"id": "nw2BHv7PmpVU",
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"outputId": "a3caf5ac-528c-4a56-d08a-801470d6bbb4"
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},
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"outputs": [
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||
{
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||
"data": {
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||
"text/plain": [
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||
"240"
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||
]
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||
},
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||
"execution_count": 6,
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||
"metadata": {},
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||
"output_type": "execute_result"
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||
}
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||
],
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"source": [
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"wagesDf.size"
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]
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},
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||
{
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||
"cell_type": "code",
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||
"execution_count": 7,
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||
"metadata": {
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||
"colab": {
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"base_uri": "https://localhost:8080/",
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"height": 300
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},
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||
"id": "mWaKOoGvmrE8",
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||
"outputId": "cda584b5-2ca4-4133-ee84-67ac1531929c"
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},
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"outputs": [
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||
{
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"data": {
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"text/html": [
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"<div>\n",
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||
"<style scoped>\n",
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||
" .dataframe tbody tr th:only-of-type {\n",
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" vertical-align: middle;\n",
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" }\n",
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"\n",
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" .dataframe tbody tr th {\n",
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" vertical-align: top;\n",
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" }\n",
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"\n",
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" .dataframe thead th {\n",
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" text-align: right;\n",
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" }\n",
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||
"</style>\n",
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||
"<table border=\"1\" class=\"dataframe\">\n",
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" <thead>\n",
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" <tr style=\"text-align: right;\">\n",
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" <th></th>\n",
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" <th>Wage</th>\n",
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" <th>Educ</th>\n",
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" <th>Age</th>\n",
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" </tr>\n",
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" </thead>\n",
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" <tbody>\n",
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" <tr>\n",
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" <th>count</th>\n",
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" <td>80.000000</td>\n",
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" <td>80.000000</td>\n",
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" <td>80.000000</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>mean</th>\n",
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" <td>24.930500</td>\n",
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" <td>13.850000</td>\n",
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" <td>49.487500</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>std</th>\n",
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" <td>7.479982</td>\n",
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" <td>4.016107</td>\n",
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" <td>17.213473</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>min</th>\n",
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" <td>6.930000</td>\n",
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" <td>6.000000</td>\n",
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" <td>18.000000</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>25%</th>\n",
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" <td>19.145000</td>\n",
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" <td>10.000000</td>\n",
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" <td>34.750000</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>50%</th>\n",
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" <td>24.980000</td>\n",
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" <td>14.000000</td>\n",
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" <td>51.000000</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>75%</th>\n",
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" <td>30.572500</td>\n",
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" <td>17.000000</td>\n",
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" <td>65.250000</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>max</th>\n",
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" <td>43.440000</td>\n",
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" <td>22.000000</td>\n",
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" <td>77.000000</td>\n",
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" </tr>\n",
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||
" </tbody>\n",
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||
"</table>\n",
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||
"</div>"
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||
],
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||
"text/plain": [
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||
" Wage Educ Age\n",
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"count 80.000000 80.000000 80.000000\n",
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"mean 24.930500 13.850000 49.487500\n",
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"std 7.479982 4.016107 17.213473\n",
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||
"min 6.930000 6.000000 18.000000\n",
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"25% 19.145000 10.000000 34.750000\n",
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||
"50% 24.980000 14.000000 51.000000\n",
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"75% 30.572500 17.000000 65.250000\n",
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||
"max 43.440000 22.000000 77.000000"
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]
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||
},
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||
"execution_count": 7,
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||
"metadata": {},
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||
"output_type": "execute_result"
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}
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],
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"source": [
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"wagesDf.describe()"
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]
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},
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{
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||
"cell_type": "code",
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||
"execution_count": 8,
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"metadata": {
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"colab": {
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"base_uri": "https://localhost:8080/"
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},
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"id": "w-fAHOgMmyH5",
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||
"outputId": "4fc1e799-4d23-42f4-9947-a2ee7ccef909"
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||
},
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||
"outputs": [
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||
{
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"data": {
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"text/plain": [
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"(80, 3)"
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]
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||
},
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||
"execution_count": 8,
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||
"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"wagesDf.shape"
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]
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},
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{
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"cell_type": "code",
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||
"execution_count": 9,
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||
"metadata": {
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||
"id": "H15Y1sg61e5Z"
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||
},
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"outputs": [],
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"source": [
|
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"import matplotlib.pyplot as plt"
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]
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},
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{
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"cell_type": "code",
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||
"execution_count": 10,
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||
"metadata": {
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"colab": {
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"base_uri": "https://localhost:8080/",
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"height": 34
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},
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||
"id": "-4_3Xd1i1cPa",
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"outputId": "c78650e1-2817-4a19-fce3-95f81ac3945b"
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},
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"outputs": [
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||
{
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||
"data": {
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"text/plain": [
|
||
"<Figure size 800x800 with 0 Axes>"
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||
]
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||
},
|
||
"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
|
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"# Plotting\n",
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"fig1 = plt.figure(\n",
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" figsize=(8, 8)\n",
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")"
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]
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},
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||
{
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||
"cell_type": "code",
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||
"execution_count": 11,
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||
"metadata": {
|
||
"colab": {
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||
"base_uri": "https://localhost:8080/",
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||
"height": 472
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||
},
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||
"id": "RmM8cJp41hSB",
|
||
"outputId": "d6e2108c-97c7-41c5-b551-7fd2da0c8c77"
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||
},
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||
"outputs": [
|
||
{
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||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"plt.scatter(\n",
|
||
" wagesDf[\"Educ\"],\n",
|
||
" wagesDf[\"Wage\"],\n",
|
||
" color='blue',\n",
|
||
" alpha=0.9,\n",
|
||
" label='Data Points - scatter',\n",
|
||
")\n",
|
||
"\n",
|
||
"\n",
|
||
"plt.title('Education Level vs. Wage with OLS Regression')\n",
|
||
"plt.xlabel('Education Level(yr)')\n",
|
||
"plt.ylabel('Wage K')\n",
|
||
"plt.legend()\n",
|
||
"plt.grid(True)\n",
|
||
"\n",
|
||
"\n",
|
||
"\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 12,
|
||
"metadata": {
|
||
"colab": {
|
||
"base_uri": "https://localhost:8080/"
|
||
},
|
||
"id": "uonOqiSW14Qq",
|
||
"outputId": "ffde8bb6-939e-49a5-ad29-269381731c58"
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
" OLS Regression Results \n",
|
||
"==============================================================================\n",
|
||
"Dep. Variable: Wage R-squared: 0.607\n",
|
||
"Model: OLS Adj. R-squared: 0.602\n",
|
||
"Method: Least Squares F-statistic: 120.4\n",
|
||
"Date: Sun, 09 Jun 2024 Prob (F-statistic): 1.75e-17\n",
|
||
"Time: 01:26:13 Log-Likelihood: -236.64\n",
|
||
"No. Observations: 80 AIC: 477.3\n",
|
||
"Df Residuals: 78 BIC: 482.0\n",
|
||
"Df Model: 1 \n",
|
||
"Covariance Type: nonrobust \n",
|
||
"==============================================================================\n",
|
||
" coef std err t P>|t| [0.025 0.975]\n",
|
||
"------------------------------------------------------------------------------\n",
|
||
"const 4.8341 1.906 2.537 0.013 1.040 8.628\n",
|
||
"Educ 1.4510 0.132 10.975 0.000 1.188 1.714\n",
|
||
"==============================================================================\n",
|
||
"Omnibus: 2.125 Durbin-Watson: 1.728\n",
|
||
"Prob(Omnibus): 0.346 Jarque-Bera (JB): 1.975\n",
|
||
"Skew: -0.380 Prob(JB): 0.373\n",
|
||
"Kurtosis: 2.873 Cond. No. 52.3\n",
|
||
"==============================================================================\n",
|
||
"\n",
|
||
"Notes:\n",
|
||
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"wageEduModel = sm.OLS(\n",
|
||
" wagesDf[\"Wage\"],\n",
|
||
" sm.add_constant(wagesDf[\"Educ\"])\n",
|
||
")\n",
|
||
"wageEduModelFit = wageEduModel.fit()\n",
|
||
"print(wageEduModelFit.summary())"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 13,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"<statsmodels.regression.linear_model.RegressionResultsWrapper at 0x36b99a2a0>"
|
||
]
|
||
},
|
||
"execution_count": 13,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"from functions.exportModel import exportModel\n",
|
||
"exportModel({\n",
|
||
" \"modelName\": \"wageEduModelFit\",\n",
|
||
" \"model\": wageEduModelFit,\n",
|
||
" \"description\": \"Predict Wage based on Educ for wagesDf\",\n",
|
||
" \"modelType\": \"sm.OLS\",\n",
|
||
" \"baseRelativePath\": \"..\",\n",
|
||
" \"inputs\": [\n",
|
||
" {\n",
|
||
" \"name\": \"const\",\n",
|
||
" \"type\": \"int\"\n",
|
||
" },\n",
|
||
" {\n",
|
||
" \"name\": \"Educ\",\n",
|
||
" \"type\": \"float\"\n",
|
||
" }\n",
|
||
" ],\n",
|
||
" \"output\": {\n",
|
||
" \"name\": \"Wage\",\n",
|
||
" \"type\": \"float\"\n",
|
||
" }\n",
|
||
"})"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 14,
|
||
"metadata": {
|
||
"colab": {
|
||
"base_uri": "https://localhost:8080/",
|
||
"height": 423
|
||
},
|
||
"id": "lLQzN2F42WHI",
|
||
"outputId": "5dd9b463-f7ef-49de-f0e8-a1b12d4ec5a6"
|
||
},
|
||
"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>Wage</th>\n",
|
||
" <th>Educ</th>\n",
|
||
" <th>Age</th>\n",
|
||
" <th>predictedWage1</th>\n",
|
||
" </tr>\n",
|
||
" </thead>\n",
|
||
" <tbody>\n",
|
||
" <tr>\n",
|
||
" <th>0</th>\n",
|
||
" <td>17.54</td>\n",
|
||
" <td>12</td>\n",
|
||
" <td>76</td>\n",
|
||
" <td>22.246147</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>1</th>\n",
|
||
" <td>20.93</td>\n",
|
||
" <td>10</td>\n",
|
||
" <td>61</td>\n",
|
||
" <td>19.344145</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>2</th>\n",
|
||
" <td>12.94</td>\n",
|
||
" <td>8</td>\n",
|
||
" <td>75</td>\n",
|
||
" <td>16.442142</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>3</th>\n",
|
||
" <td>19.34</td>\n",
|
||
" <td>6</td>\n",
|
||
" <td>38</td>\n",
|
||
" <td>13.540139</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>4</th>\n",
|
||
" <td>24.12</td>\n",
|
||
" <td>12</td>\n",
|
||
" <td>59</td>\n",
|
||
" <td>22.246147</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>...</th>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>75</th>\n",
|
||
" <td>25.64</td>\n",
|
||
" <td>14</td>\n",
|
||
" <td>74</td>\n",
|
||
" <td>25.148150</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>76</th>\n",
|
||
" <td>38.77</td>\n",
|
||
" <td>21</td>\n",
|
||
" <td>41</td>\n",
|
||
" <td>35.305160</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>77</th>\n",
|
||
" <td>21.87</td>\n",
|
||
" <td>15</td>\n",
|
||
" <td>75</td>\n",
|
||
" <td>26.599152</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>78</th>\n",
|
||
" <td>27.54</td>\n",
|
||
" <td>20</td>\n",
|
||
" <td>46</td>\n",
|
||
" <td>33.854159</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>79</th>\n",
|
||
" <td>23.66</td>\n",
|
||
" <td>12</td>\n",
|
||
" <td>49</td>\n",
|
||
" <td>22.246147</td>\n",
|
||
" </tr>\n",
|
||
" </tbody>\n",
|
||
"</table>\n",
|
||
"<p>80 rows × 4 columns</p>\n",
|
||
"</div>"
|
||
],
|
||
"text/plain": [
|
||
" Wage Educ Age predictedWage1\n",
|
||
"0 17.54 12 76 22.246147\n",
|
||
"1 20.93 10 61 19.344145\n",
|
||
"2 12.94 8 75 16.442142\n",
|
||
"3 19.34 6 38 13.540139\n",
|
||
"4 24.12 12 59 22.246147\n",
|
||
".. ... ... ... ...\n",
|
||
"75 25.64 14 74 25.148150\n",
|
||
"76 38.77 21 41 35.305160\n",
|
||
"77 21.87 15 75 26.599152\n",
|
||
"78 27.54 20 46 33.854159\n",
|
||
"79 23.66 12 49 22.246147\n",
|
||
"\n",
|
||
"[80 rows x 4 columns]"
|
||
]
|
||
},
|
||
"execution_count": 14,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"predictedWage1 = wageEduModelFit.predict(sm.add_constant(wagesDf[\"Educ\"]))\n",
|
||
"wagesDf['predictedWage1'] = predictedWage1\n",
|
||
"wagesDf"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 15,
|
||
"metadata": {
|
||
"colab": {
|
||
"base_uri": "https://localhost:8080/",
|
||
"height": 472
|
||
},
|
||
"id": "yszN-fZr2TZU",
|
||
"outputId": "83ea553f-eab8-4f9e-a043-d5e9bc8b06c0"
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"\n",
|
||
"\n",
|
||
"plt.scatter(\n",
|
||
" wagesDf[\"Educ\"],\n",
|
||
" wagesDf[\"Wage\"],\n",
|
||
" color='blue',\n",
|
||
" alpha=0.9,\n",
|
||
" label='Data Points - scatter',\n",
|
||
")\n",
|
||
"\n",
|
||
"plt.plot(\n",
|
||
" wagesDf[\"Educ\"],\n",
|
||
" wagesDf[\"predictedWage1\"],\n",
|
||
" color='red',\n",
|
||
" label='OLS Regression - predictedWage1'\n",
|
||
")\n",
|
||
"plt.title('Educ Level vs. Wage with OLS Regression')\n",
|
||
"plt.xlabel('Educ Level(yr)')\n",
|
||
"plt.ylabel('Wage K')\n",
|
||
"plt.legend()\n",
|
||
"plt.grid(True)\n",
|
||
"\n",
|
||
"\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 16,
|
||
"metadata": {
|
||
"colab": {
|
||
"base_uri": "https://localhost:8080/",
|
||
"height": 472
|
||
},
|
||
"id": "olxdwpKV3GMJ",
|
||
"outputId": "ad1876d2-c303-4a27-b808-bb9bde58ea9a"
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"plt.scatter(\n",
|
||
" wagesDf[\"Age\"],\n",
|
||
" wagesDf[\"Wage\"],\n",
|
||
" color='blue',\n",
|
||
" alpha=0.9,\n",
|
||
" label='Data Points - scatter',\n",
|
||
")\n",
|
||
"\n",
|
||
"\n",
|
||
"plt.title('Age vs. Wage with OLS Regression')\n",
|
||
"plt.xlabel('Age')\n",
|
||
"plt.ylabel('Wage K')\n",
|
||
"plt.legend()\n",
|
||
"plt.grid(True)\n",
|
||
"\n",
|
||
"\n",
|
||
"\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 17,
|
||
"metadata": {
|
||
"colab": {
|
||
"base_uri": "https://localhost:8080/"
|
||
},
|
||
"id": "LMhx9bzJ3d7a",
|
||
"outputId": "75532a8c-df8f-4299-bfca-371489f2081b"
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
" OLS Regression Results \n",
|
||
"==============================================================================\n",
|
||
"Dep. Variable: Wage R-squared: 0.022\n",
|
||
"Model: OLS Adj. R-squared: 0.009\n",
|
||
"Method: Least Squares F-statistic: 1.718\n",
|
||
"Date: Sun, 09 Jun 2024 Prob (F-statistic): 0.194\n",
|
||
"Time: 01:26:14 Log-Likelihood: -273.12\n",
|
||
"No. Observations: 80 AIC: 550.2\n",
|
||
"Df Residuals: 78 BIC: 555.0\n",
|
||
"Df Model: 1 \n",
|
||
"Covariance Type: nonrobust \n",
|
||
"==============================================================================\n",
|
||
" coef std err t P>|t| [0.025 0.975]\n",
|
||
"------------------------------------------------------------------------------\n",
|
||
"const 21.7740 2.548 8.544 0.000 16.701 26.847\n",
|
||
"Age 0.0638 0.049 1.311 0.194 -0.033 0.161\n",
|
||
"==============================================================================\n",
|
||
"Omnibus: 0.180 Durbin-Watson: 1.914\n",
|
||
"Prob(Omnibus): 0.914 Jarque-Bera (JB): 0.372\n",
|
||
"Skew: 0.016 Prob(JB): 0.830\n",
|
||
"Kurtosis: 2.667 Cond. No. 160.\n",
|
||
"==============================================================================\n",
|
||
"\n",
|
||
"Notes:\n",
|
||
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"wageAgeModel = sm.OLS(\n",
|
||
" wagesDf[\"Wage\"],\n",
|
||
" sm.add_constant(wagesDf[\"Age\"])\n",
|
||
")\n",
|
||
"wageAgeModelFit = wageAgeModel.fit()\n",
|
||
"print(wageAgeModelFit.summary())"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 18,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"<statsmodels.regression.linear_model.RegressionResultsWrapper at 0x36c280530>"
|
||
]
|
||
},
|
||
"execution_count": 18,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"from functions.exportModel import exportModel\n",
|
||
"exportModel({\n",
|
||
" \"modelName\": \"wageAgeModelFit\",\n",
|
||
" \"model\": wageAgeModelFit,\n",
|
||
" \"description\": \"Predict Wage based on Age for wagesDf\",\n",
|
||
" \"modelType\": \"sm.OLS\",\n",
|
||
" \"baseRelativePath\": \"..\",\n",
|
||
" \"inputs\": [\n",
|
||
" {\n",
|
||
" \"name\": \"const\",\n",
|
||
" \"type\": \"int\"\n",
|
||
" },\n",
|
||
" {\n",
|
||
" \"name\": \"Age\",\n",
|
||
" \"type\": \"float\"\n",
|
||
" }\n",
|
||
" ],\n",
|
||
" \"output\": {\n",
|
||
" \"name\": \"Wage\",\n",
|
||
" \"type\": \"float\"\n",
|
||
" }\n",
|
||
"})"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 19,
|
||
"metadata": {
|
||
"colab": {
|
||
"base_uri": "https://localhost:8080/",
|
||
"height": 423
|
||
},
|
||
"id": "eLEY_vB-3oVw",
|
||
"outputId": "4938f031-77f3-44bf-ee37-cfc3f27fa7e4"
|
||
},
|
||
"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>Wage</th>\n",
|
||
" <th>Educ</th>\n",
|
||
" <th>Age</th>\n",
|
||
" <th>predictedWage1</th>\n",
|
||
" <th>predictedWage2</th>\n",
|
||
" </tr>\n",
|
||
" </thead>\n",
|
||
" <tbody>\n",
|
||
" <tr>\n",
|
||
" <th>0</th>\n",
|
||
" <td>17.54</td>\n",
|
||
" <td>12</td>\n",
|
||
" <td>76</td>\n",
|
||
" <td>22.246147</td>\n",
|
||
" <td>26.621568</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>1</th>\n",
|
||
" <td>20.93</td>\n",
|
||
" <td>10</td>\n",
|
||
" <td>61</td>\n",
|
||
" <td>19.344145</td>\n",
|
||
" <td>25.664811</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>2</th>\n",
|
||
" <td>12.94</td>\n",
|
||
" <td>8</td>\n",
|
||
" <td>75</td>\n",
|
||
" <td>16.442142</td>\n",
|
||
" <td>26.557784</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>3</th>\n",
|
||
" <td>19.34</td>\n",
|
||
" <td>6</td>\n",
|
||
" <td>38</td>\n",
|
||
" <td>13.540139</td>\n",
|
||
" <td>24.197784</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>4</th>\n",
|
||
" <td>24.12</td>\n",
|
||
" <td>12</td>\n",
|
||
" <td>59</td>\n",
|
||
" <td>22.246147</td>\n",
|
||
" <td>25.537243</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>75</th>\n",
|
||
" <td>25.64</td>\n",
|
||
" <td>14</td>\n",
|
||
" <td>74</td>\n",
|
||
" <td>25.148150</td>\n",
|
||
" <td>26.494001</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>76</th>\n",
|
||
" <td>38.77</td>\n",
|
||
" <td>21</td>\n",
|
||
" <td>41</td>\n",
|
||
" <td>35.305160</td>\n",
|
||
" <td>24.389135</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>77</th>\n",
|
||
" <td>21.87</td>\n",
|
||
" <td>15</td>\n",
|
||
" <td>75</td>\n",
|
||
" <td>26.599152</td>\n",
|
||
" <td>26.557784</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>78</th>\n",
|
||
" <td>27.54</td>\n",
|
||
" <td>20</td>\n",
|
||
" <td>46</td>\n",
|
||
" <td>33.854159</td>\n",
|
||
" <td>24.708054</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>79</th>\n",
|
||
" <td>23.66</td>\n",
|
||
" <td>12</td>\n",
|
||
" <td>49</td>\n",
|
||
" <td>22.246147</td>\n",
|
||
" <td>24.899405</td>\n",
|
||
" </tr>\n",
|
||
" </tbody>\n",
|
||
"</table>\n",
|
||
"<p>80 rows × 5 columns</p>\n",
|
||
"</div>"
|
||
],
|
||
"text/plain": [
|
||
" Wage Educ Age predictedWage1 predictedWage2\n",
|
||
"0 17.54 12 76 22.246147 26.621568\n",
|
||
"1 20.93 10 61 19.344145 25.664811\n",
|
||
"2 12.94 8 75 16.442142 26.557784\n",
|
||
"3 19.34 6 38 13.540139 24.197784\n",
|
||
"4 24.12 12 59 22.246147 25.537243\n",
|
||
".. ... ... ... ... ...\n",
|
||
"75 25.64 14 74 25.148150 26.494001\n",
|
||
"76 38.77 21 41 35.305160 24.389135\n",
|
||
"77 21.87 15 75 26.599152 26.557784\n",
|
||
"78 27.54 20 46 33.854159 24.708054\n",
|
||
"79 23.66 12 49 22.246147 24.899405\n",
|
||
"\n",
|
||
"[80 rows x 5 columns]"
|
||
]
|
||
},
|
||
"execution_count": 19,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"predictedWage2 = wageAgeModelFit.predict(sm.add_constant(wagesDf[\"Age\"]))\n",
|
||
"wagesDf['predictedWage2'] = predictedWage2\n",
|
||
"wagesDf"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 20,
|
||
"metadata": {
|
||
"colab": {
|
||
"base_uri": "https://localhost:8080/",
|
||
"height": 718
|
||
},
|
||
"id": "9tHJPDGt3sjK",
|
||
"outputId": "0ed44935-aafa-4acd-d757-f128227fdc69"
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 800x800 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# Plotting\n",
|
||
"plt.figure(\n",
|
||
" figsize=(8, 8)\n",
|
||
")\n",
|
||
"\n",
|
||
"plt.scatter(\n",
|
||
" wagesDf[\"Age\"],\n",
|
||
" wagesDf[\"Wage\"],\n",
|
||
" color='blue',\n",
|
||
" alpha=0.9,\n",
|
||
" label='Data Points - scatter',\n",
|
||
")\n",
|
||
"\n",
|
||
"plt.plot(\n",
|
||
" wagesDf[\"Age\"],\n",
|
||
" wagesDf[\"predictedWage2\"],\n",
|
||
" color='red',\n",
|
||
" label='OLS Regression - predictedWage2'\n",
|
||
")\n",
|
||
"plt.title('Age. Wage with OLS Regression')\n",
|
||
"plt.xlabel('Age')\n",
|
||
"plt.ylabel('Wage K')\n",
|
||
"plt.legend()\n",
|
||
"plt.grid(True)\n",
|
||
"\n",
|
||
"\n",
|
||
"\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 21,
|
||
"metadata": {
|
||
"colab": {
|
||
"base_uri": "https://localhost:8080/",
|
||
"height": 423
|
||
},
|
||
"id": "v4CvzLau4TZ6",
|
||
"outputId": "24667a49-768a-4063-d97d-a36f3067d430"
|
||
},
|
||
"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>Wage</th>\n",
|
||
" <th>Educ</th>\n",
|
||
" <th>Age</th>\n",
|
||
" <th>predictedWage1</th>\n",
|
||
" <th>predictedWage2</th>\n",
|
||
" <th>agePower2</th>\n",
|
||
" </tr>\n",
|
||
" </thead>\n",
|
||
" <tbody>\n",
|
||
" <tr>\n",
|
||
" <th>0</th>\n",
|
||
" <td>17.54</td>\n",
|
||
" <td>12</td>\n",
|
||
" <td>76</td>\n",
|
||
" <td>22.246147</td>\n",
|
||
" <td>26.621568</td>\n",
|
||
" <td>5776.0</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>1</th>\n",
|
||
" <td>20.93</td>\n",
|
||
" <td>10</td>\n",
|
||
" <td>61</td>\n",
|
||
" <td>19.344145</td>\n",
|
||
" <td>25.664811</td>\n",
|
||
" <td>3721.0</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>2</th>\n",
|
||
" <td>12.94</td>\n",
|
||
" <td>8</td>\n",
|
||
" <td>75</td>\n",
|
||
" <td>16.442142</td>\n",
|
||
" <td>26.557784</td>\n",
|
||
" <td>5625.0</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>3</th>\n",
|
||
" <td>19.34</td>\n",
|
||
" <td>6</td>\n",
|
||
" <td>38</td>\n",
|
||
" <td>13.540139</td>\n",
|
||
" <td>24.197784</td>\n",
|
||
" <td>1444.0</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>4</th>\n",
|
||
" <td>24.12</td>\n",
|
||
" <td>12</td>\n",
|
||
" <td>59</td>\n",
|
||
" <td>22.246147</td>\n",
|
||
" <td>25.537243</td>\n",
|
||
" <td>3481.0</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>...</th>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>75</th>\n",
|
||
" <td>25.64</td>\n",
|
||
" <td>14</td>\n",
|
||
" <td>74</td>\n",
|
||
" <td>25.148150</td>\n",
|
||
" <td>26.494001</td>\n",
|
||
" <td>5476.0</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>76</th>\n",
|
||
" <td>38.77</td>\n",
|
||
" <td>21</td>\n",
|
||
" <td>41</td>\n",
|
||
" <td>35.305160</td>\n",
|
||
" <td>24.389135</td>\n",
|
||
" <td>1681.0</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>77</th>\n",
|
||
" <td>21.87</td>\n",
|
||
" <td>15</td>\n",
|
||
" <td>75</td>\n",
|
||
" <td>26.599152</td>\n",
|
||
" <td>26.557784</td>\n",
|
||
" <td>5625.0</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>78</th>\n",
|
||
" <td>27.54</td>\n",
|
||
" <td>20</td>\n",
|
||
" <td>46</td>\n",
|
||
" <td>33.854159</td>\n",
|
||
" <td>24.708054</td>\n",
|
||
" <td>2116.0</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>79</th>\n",
|
||
" <td>23.66</td>\n",
|
||
" <td>12</td>\n",
|
||
" <td>49</td>\n",
|
||
" <td>22.246147</td>\n",
|
||
" <td>24.899405</td>\n",
|
||
" <td>2401.0</td>\n",
|
||
" </tr>\n",
|
||
" </tbody>\n",
|
||
"</table>\n",
|
||
"<p>80 rows × 6 columns</p>\n",
|
||
"</div>"
|
||
],
|
||
"text/plain": [
|
||
" Wage Educ Age predictedWage1 predictedWage2 agePower2\n",
|
||
"0 17.54 12 76 22.246147 26.621568 5776.0\n",
|
||
"1 20.93 10 61 19.344145 25.664811 3721.0\n",
|
||
"2 12.94 8 75 16.442142 26.557784 5625.0\n",
|
||
"3 19.34 6 38 13.540139 24.197784 1444.0\n",
|
||
"4 24.12 12 59 22.246147 25.537243 3481.0\n",
|
||
".. ... ... ... ... ... ...\n",
|
||
"75 25.64 14 74 25.148150 26.494001 5476.0\n",
|
||
"76 38.77 21 41 35.305160 24.389135 1681.0\n",
|
||
"77 21.87 15 75 26.599152 26.557784 5625.0\n",
|
||
"78 27.54 20 46 33.854159 24.708054 2116.0\n",
|
||
"79 23.66 12 49 22.246147 24.899405 2401.0\n",
|
||
"\n",
|
||
"[80 rows x 6 columns]"
|
||
]
|
||
},
|
||
"execution_count": 21,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"from functions.transformers import transformersDict\n",
|
||
"# wagesDf['agePower2'] = wagesDf.apply(lambda row: row['Age'] * row['Age'], axis=1)\n",
|
||
"wagesDf['agePower2'] = wagesDf.apply(transformersDict.get('AGE_POWER_2'), axis=1)\n",
|
||
"wagesDf"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 22,
|
||
"metadata": {
|
||
"id": "d7cn8Io05ebq"
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"wagesDf = wagesDf.sort_values(by=\"Age\")"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 23,
|
||
"metadata": {
|
||
"colab": {
|
||
"base_uri": "https://localhost:8080/"
|
||
},
|
||
"id": "Vr9zmJ7L4lEg",
|
||
"outputId": "bac52dd3-0455-40a8-fb08-63154aad18b6"
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
" OLS Regression Results \n",
|
||
"==============================================================================\n",
|
||
"Dep. Variable: Wage R-squared: 0.400\n",
|
||
"Model: OLS Adj. R-squared: 0.385\n",
|
||
"Method: Least Squares F-statistic: 25.72\n",
|
||
"Date: Sun, 09 Jun 2024 Prob (F-statistic): 2.79e-09\n",
|
||
"Time: 01:26:14 Log-Likelihood: -253.53\n",
|
||
"No. Observations: 80 AIC: 513.1\n",
|
||
"Df Residuals: 77 BIC: 520.2\n",
|
||
"Df Model: 2 \n",
|
||
"Covariance Type: nonrobust \n",
|
||
"==============================================================================\n",
|
||
" coef std err t P>|t| [0.025 0.975]\n",
|
||
"------------------------------------------------------------------------------\n",
|
||
"const -14.4664 5.569 -2.598 0.011 -25.556 -3.376\n",
|
||
"Age 1.7567 0.246 7.150 0.000 1.267 2.246\n",
|
||
"agePower2 -0.0173 0.002 -6.976 0.000 -0.022 -0.012\n",
|
||
"==============================================================================\n",
|
||
"Omnibus: 2.225 Durbin-Watson: 2.070\n",
|
||
"Prob(Omnibus): 0.329 Jarque-Bera (JB): 2.224\n",
|
||
"Skew: 0.370 Prob(JB): 0.329\n",
|
||
"Kurtosis: 2.652 Cond. No. 2.74e+04\n",
|
||
"==============================================================================\n",
|
||
"\n",
|
||
"Notes:\n",
|
||
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
|
||
"[2] The condition number is large, 2.74e+04. This might indicate that there are\n",
|
||
"strong multicollinearity or other numerical problems.\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"wageAgePower2Model = sm.OLS(\n",
|
||
" wagesDf[\"Wage\"],\n",
|
||
" sm.add_constant(wagesDf[[\"Age\", \"agePower2\"]])\n",
|
||
")\n",
|
||
"wageAgePower2ModelFit = wageAgePower2Model.fit()\n",
|
||
"print(wageAgePower2ModelFit.summary())"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 24,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"<statsmodels.regression.linear_model.RegressionResultsWrapper at 0x36a7aa570>"
|
||
]
|
||
},
|
||
"execution_count": 24,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"from functions.exportModel import exportModel\n",
|
||
"exportModel({\n",
|
||
" \"modelName\": \"wageAgePower2ModelFit\",\n",
|
||
" \"model\": wageAgePower2ModelFit,\n",
|
||
" \"description\": \"Predict Wage based on Age quadradic for wagesDf\",\n",
|
||
" \"modelType\": \"sm.OLS\",\n",
|
||
" \"baseRelativePath\": \"..\",\n",
|
||
" \"inputs\": [\n",
|
||
" {\n",
|
||
" \"name\": \"const\",\n",
|
||
" \"type\": \"int\"\n",
|
||
" },\n",
|
||
" {\n",
|
||
" \"name\": \"Age\",\n",
|
||
" \"type\": \"float\"\n",
|
||
" }\n",
|
||
" ],\n",
|
||
" \"transformers\":[\n",
|
||
" {\n",
|
||
" \"name\": \"agePower2\",\n",
|
||
" \"transformer\": \"AGE_POWER_2\"\n",
|
||
" }\n",
|
||
" ],\n",
|
||
" \"output\": {\n",
|
||
" \"name\": \"Wage\",\n",
|
||
" \"type\": \"float\"\n",
|
||
" }\n",
|
||
"})"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 25,
|
||
"metadata": {
|
||
"colab": {
|
||
"base_uri": "https://localhost:8080/",
|
||
"height": 423
|
||
},
|
||
"id": "qefCiN4F4yHq",
|
||
"outputId": "1c35de4e-79b7-41fa-c25d-334062439bd6"
|
||
},
|
||
"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>Wage</th>\n",
|
||
" <th>Educ</th>\n",
|
||
" <th>Age</th>\n",
|
||
" <th>predictedWage1</th>\n",
|
||
" <th>predictedWage2</th>\n",
|
||
" <th>agePower2</th>\n",
|
||
" <th>predictedWage3</th>\n",
|
||
" </tr>\n",
|
||
" </thead>\n",
|
||
" <tbody>\n",
|
||
" <tr>\n",
|
||
" <th>69</th>\n",
|
||
" <td>25.13</td>\n",
|
||
" <td>16</td>\n",
|
||
" <td>18</td>\n",
|
||
" <td>28.050153</td>\n",
|
||
" <td>22.922107</td>\n",
|
||
" <td>324.0</td>\n",
|
||
" <td>11.536003</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>27</th>\n",
|
||
" <td>12.39</td>\n",
|
||
" <td>13</td>\n",
|
||
" <td>19</td>\n",
|
||
" <td>23.697149</td>\n",
|
||
" <td>22.985891</td>\n",
|
||
" <td>361.0</td>\n",
|
||
" <td>12.651138</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>62</th>\n",
|
||
" <td>6.93</td>\n",
|
||
" <td>6</td>\n",
|
||
" <td>21</td>\n",
|
||
" <td>13.540139</td>\n",
|
||
" <td>23.113459</td>\n",
|
||
" <td>441.0</td>\n",
|
||
" <td>14.777375</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>60</th>\n",
|
||
" <td>18.11</td>\n",
|
||
" <td>14</td>\n",
|
||
" <td>21</td>\n",
|
||
" <td>25.148150</td>\n",
|
||
" <td>23.113459</td>\n",
|
||
" <td>441.0</td>\n",
|
||
" <td>14.777375</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>28</th>\n",
|
||
" <td>16.37</td>\n",
|
||
" <td>12</td>\n",
|
||
" <td>22</td>\n",
|
||
" <td>22.246147</td>\n",
|
||
" <td>23.177243</td>\n",
|
||
" <td>484.0</td>\n",
|
||
" <td>15.788477</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>...</th>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>48</th>\n",
|
||
" <td>28.95</td>\n",
|
||
" <td>20</td>\n",
|
||
" <td>75</td>\n",
|
||
" <td>33.854159</td>\n",
|
||
" <td>26.557784</td>\n",
|
||
" <td>5625.0</td>\n",
|
||
" <td>19.752807</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>77</th>\n",
|
||
" <td>21.87</td>\n",
|
||
" <td>15</td>\n",
|
||
" <td>75</td>\n",
|
||
" <td>26.599152</td>\n",
|
||
" <td>26.557784</td>\n",
|
||
" <td>5625.0</td>\n",
|
||
" <td>19.752807</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>67</th>\n",
|
||
" <td>15.38</td>\n",
|
||
" <td>12</td>\n",
|
||
" <td>76</td>\n",
|
||
" <td>22.246147</td>\n",
|
||
" <td>26.621568</td>\n",
|
||
" <td>5776.0</td>\n",
|
||
" <td>18.891302</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>0</th>\n",
|
||
" <td>17.54</td>\n",
|
||
" <td>12</td>\n",
|
||
" <td>76</td>\n",
|
||
" <td>22.246147</td>\n",
|
||
" <td>26.621568</td>\n",
|
||
" <td>5776.0</td>\n",
|
||
" <td>18.891302</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>50</th>\n",
|
||
" <td>10.31</td>\n",
|
||
" <td>9</td>\n",
|
||
" <td>77</td>\n",
|
||
" <td>17.893143</td>\n",
|
||
" <td>26.685352</td>\n",
|
||
" <td>5929.0</td>\n",
|
||
" <td>17.995120</td>\n",
|
||
" </tr>\n",
|
||
" </tbody>\n",
|
||
"</table>\n",
|
||
"<p>80 rows × 7 columns</p>\n",
|
||
"</div>"
|
||
],
|
||
"text/plain": [
|
||
" Wage Educ Age predictedWage1 predictedWage2 agePower2 \\\n",
|
||
"69 25.13 16 18 28.050153 22.922107 324.0 \n",
|
||
"27 12.39 13 19 23.697149 22.985891 361.0 \n",
|
||
"62 6.93 6 21 13.540139 23.113459 441.0 \n",
|
||
"60 18.11 14 21 25.148150 23.113459 441.0 \n",
|
||
"28 16.37 12 22 22.246147 23.177243 484.0 \n",
|
||
".. ... ... ... ... ... ... \n",
|
||
"48 28.95 20 75 33.854159 26.557784 5625.0 \n",
|
||
"77 21.87 15 75 26.599152 26.557784 5625.0 \n",
|
||
"67 15.38 12 76 22.246147 26.621568 5776.0 \n",
|
||
"0 17.54 12 76 22.246147 26.621568 5776.0 \n",
|
||
"50 10.31 9 77 17.893143 26.685352 5929.0 \n",
|
||
"\n",
|
||
" predictedWage3 \n",
|
||
"69 11.536003 \n",
|
||
"27 12.651138 \n",
|
||
"62 14.777375 \n",
|
||
"60 14.777375 \n",
|
||
"28 15.788477 \n",
|
||
".. ... \n",
|
||
"48 19.752807 \n",
|
||
"77 19.752807 \n",
|
||
"67 18.891302 \n",
|
||
"0 18.891302 \n",
|
||
"50 17.995120 \n",
|
||
"\n",
|
||
"[80 rows x 7 columns]"
|
||
]
|
||
},
|
||
"execution_count": 25,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"predictedWage3 = wageAgePower2ModelFit.predict(sm.add_constant(wagesDf[[\"Age\", \"agePower2\"]]))\n",
|
||
"wagesDf['predictedWage3'] = predictedWage3\n",
|
||
"wagesDf"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 26,
|
||
"metadata": {
|
||
"colab": {
|
||
"base_uri": "https://localhost:8080/",
|
||
"height": 718
|
||
},
|
||
"id": "MgtSumSS4v-w",
|
||
"outputId": "3a38bcec-2dfb-4304-bdac-f4fab159606c"
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 800x800 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# Plotting\n",
|
||
"plt.figure(\n",
|
||
" figsize=(8, 8)\n",
|
||
")\n",
|
||
"\n",
|
||
"plt.scatter(\n",
|
||
" wagesDf[\"Age\"],\n",
|
||
" wagesDf[\"Wage\"],\n",
|
||
" color='blue',\n",
|
||
" alpha=0.9,\n",
|
||
" label='Data Points - scatter',\n",
|
||
")\n",
|
||
"\n",
|
||
"plt.plot(\n",
|
||
" wagesDf[\"Age\"],\n",
|
||
" wagesDf[\"predictedWage2\"],\n",
|
||
" color='red',\n",
|
||
" label='OLS Regression - predictedWage2'\n",
|
||
")\n",
|
||
"\n",
|
||
"plt.plot(\n",
|
||
" wagesDf[\"Age\"],\n",
|
||
" wagesDf[\"predictedWage3\"],\n",
|
||
" color='green',\n",
|
||
" label='OLS Regression - predictedWage3'\n",
|
||
")\n",
|
||
"plt.title('Age. Wage with OLS Regression')\n",
|
||
"plt.xlabel('Age')\n",
|
||
"plt.ylabel('Wage K')\n",
|
||
"plt.legend()\n",
|
||
"plt.grid(True)\n",
|
||
"\n",
|
||
"\n",
|
||
"\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 27,
|
||
"metadata": {
|
||
"colab": {
|
||
"base_uri": "https://localhost:8080/",
|
||
"height": 423
|
||
},
|
||
"id": "IdnsnYWW8vW6",
|
||
"outputId": "4f29d91f-bc51-4068-b4c6-52360a206857"
|
||
},
|
||
"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>Wage</th>\n",
|
||
" <th>Educ</th>\n",
|
||
" <th>Age</th>\n",
|
||
" <th>predictedWage1</th>\n",
|
||
" <th>predictedWage2</th>\n",
|
||
" <th>agePower2</th>\n",
|
||
" <th>predictedWage3</th>\n",
|
||
" </tr>\n",
|
||
" </thead>\n",
|
||
" <tbody>\n",
|
||
" <tr>\n",
|
||
" <th>69</th>\n",
|
||
" <td>25.13</td>\n",
|
||
" <td>16</td>\n",
|
||
" <td>18</td>\n",
|
||
" <td>28.050153</td>\n",
|
||
" <td>22.922107</td>\n",
|
||
" <td>324.0</td>\n",
|
||
" <td>11.536003</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>27</th>\n",
|
||
" <td>12.39</td>\n",
|
||
" <td>13</td>\n",
|
||
" <td>19</td>\n",
|
||
" <td>23.697149</td>\n",
|
||
" <td>22.985891</td>\n",
|
||
" <td>361.0</td>\n",
|
||
" <td>12.651138</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>62</th>\n",
|
||
" <td>6.93</td>\n",
|
||
" <td>6</td>\n",
|
||
" <td>21</td>\n",
|
||
" <td>13.540139</td>\n",
|
||
" <td>23.113459</td>\n",
|
||
" <td>441.0</td>\n",
|
||
" <td>14.777375</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>60</th>\n",
|
||
" <td>18.11</td>\n",
|
||
" <td>14</td>\n",
|
||
" <td>21</td>\n",
|
||
" <td>25.148150</td>\n",
|
||
" <td>23.113459</td>\n",
|
||
" <td>441.0</td>\n",
|
||
" <td>14.777375</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>28</th>\n",
|
||
" <td>16.37</td>\n",
|
||
" <td>12</td>\n",
|
||
" <td>22</td>\n",
|
||
" <td>22.246147</td>\n",
|
||
" <td>23.177243</td>\n",
|
||
" <td>484.0</td>\n",
|
||
" <td>15.788477</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>...</th>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>48</th>\n",
|
||
" <td>28.95</td>\n",
|
||
" <td>20</td>\n",
|
||
" <td>75</td>\n",
|
||
" <td>33.854159</td>\n",
|
||
" <td>26.557784</td>\n",
|
||
" <td>5625.0</td>\n",
|
||
" <td>19.752807</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>77</th>\n",
|
||
" <td>21.87</td>\n",
|
||
" <td>15</td>\n",
|
||
" <td>75</td>\n",
|
||
" <td>26.599152</td>\n",
|
||
" <td>26.557784</td>\n",
|
||
" <td>5625.0</td>\n",
|
||
" <td>19.752807</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>67</th>\n",
|
||
" <td>15.38</td>\n",
|
||
" <td>12</td>\n",
|
||
" <td>76</td>\n",
|
||
" <td>22.246147</td>\n",
|
||
" <td>26.621568</td>\n",
|
||
" <td>5776.0</td>\n",
|
||
" <td>18.891302</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>0</th>\n",
|
||
" <td>17.54</td>\n",
|
||
" <td>12</td>\n",
|
||
" <td>76</td>\n",
|
||
" <td>22.246147</td>\n",
|
||
" <td>26.621568</td>\n",
|
||
" <td>5776.0</td>\n",
|
||
" <td>18.891302</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>50</th>\n",
|
||
" <td>10.31</td>\n",
|
||
" <td>9</td>\n",
|
||
" <td>77</td>\n",
|
||
" <td>17.893143</td>\n",
|
||
" <td>26.685352</td>\n",
|
||
" <td>5929.0</td>\n",
|
||
" <td>17.995120</td>\n",
|
||
" </tr>\n",
|
||
" </tbody>\n",
|
||
"</table>\n",
|
||
"<p>80 rows × 7 columns</p>\n",
|
||
"</div>"
|
||
],
|
||
"text/plain": [
|
||
" Wage Educ Age predictedWage1 predictedWage2 agePower2 \\\n",
|
||
"69 25.13 16 18 28.050153 22.922107 324.0 \n",
|
||
"27 12.39 13 19 23.697149 22.985891 361.0 \n",
|
||
"62 6.93 6 21 13.540139 23.113459 441.0 \n",
|
||
"60 18.11 14 21 25.148150 23.113459 441.0 \n",
|
||
"28 16.37 12 22 22.246147 23.177243 484.0 \n",
|
||
".. ... ... ... ... ... ... \n",
|
||
"48 28.95 20 75 33.854159 26.557784 5625.0 \n",
|
||
"77 21.87 15 75 26.599152 26.557784 5625.0 \n",
|
||
"67 15.38 12 76 22.246147 26.621568 5776.0 \n",
|
||
"0 17.54 12 76 22.246147 26.621568 5776.0 \n",
|
||
"50 10.31 9 77 17.893143 26.685352 5929.0 \n",
|
||
"\n",
|
||
" predictedWage3 \n",
|
||
"69 11.536003 \n",
|
||
"27 12.651138 \n",
|
||
"62 14.777375 \n",
|
||
"60 14.777375 \n",
|
||
"28 15.788477 \n",
|
||
".. ... \n",
|
||
"48 19.752807 \n",
|
||
"77 19.752807 \n",
|
||
"67 18.891302 \n",
|
||
"0 18.891302 \n",
|
||
"50 17.995120 \n",
|
||
"\n",
|
||
"[80 rows x 7 columns]"
|
||
]
|
||
},
|
||
"execution_count": 27,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"wagesDf"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 28,
|
||
"metadata": {
|
||
"colab": {
|
||
"base_uri": "https://localhost:8080/",
|
||
"height": 430
|
||
},
|
||
"id": "o_JsGSTW8hWt",
|
||
"outputId": "f93023b4-5034-4810-cafd-cd3e43bb8978"
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"fig = plt.figure()\n",
|
||
"ax = plt.axes(projection =\"3d\")\n",
|
||
"\n",
|
||
"# Creating plot\n",
|
||
"ax.scatter3D(\n",
|
||
" wagesDf[\"Age\"],\n",
|
||
" wagesDf[\"Educ\"],\n",
|
||
" wagesDf[\"Wage\"],\n",
|
||
" color = \"green\"\n",
|
||
")\n",
|
||
"plt.title(\"Cost,Grad -> Wage\")\n",
|
||
"ax.set_xlabel('Age')\n",
|
||
"ax.set_ylabel('Educ')\n",
|
||
"ax.set_zlabel('Wage')\n",
|
||
"\n",
|
||
"# show plot\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 29,
|
||
"metadata": {
|
||
"colab": {
|
||
"base_uri": "https://localhost:8080/"
|
||
},
|
||
"id": "3eA8WZha8aGL",
|
||
"outputId": "954bd6db-78bd-41cd-e425-1b838ba7db98"
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
" OLS Regression Results \n",
|
||
"==============================================================================\n",
|
||
"Dep. Variable: Wage R-squared: 0.619\n",
|
||
"Model: OLS Adj. R-squared: 0.609\n",
|
||
"Method: Least Squares F-statistic: 62.47\n",
|
||
"Date: Sun, 09 Jun 2024 Prob (F-statistic): 7.57e-17\n",
|
||
"Time: 01:26:14 Log-Likelihood: -235.42\n",
|
||
"No. Observations: 80 AIC: 476.8\n",
|
||
"Df Residuals: 77 BIC: 484.0\n",
|
||
"Df Model: 2 \n",
|
||
"Covariance Type: nonrobust \n",
|
||
"==============================================================================\n",
|
||
" coef std err t P>|t| [0.025 0.975]\n",
|
||
"------------------------------------------------------------------------------\n",
|
||
"const 2.6381 2.366 1.115 0.268 -2.074 7.350\n",
|
||
"Age 0.0472 0.031 1.541 0.127 -0.014 0.108\n",
|
||
"Educ 1.4410 0.131 10.981 0.000 1.180 1.702\n",
|
||
"==============================================================================\n",
|
||
"Omnibus: 1.999 Durbin-Watson: 0.932\n",
|
||
"Prob(Omnibus): 0.368 Jarque-Bera (JB): 1.721\n",
|
||
"Skew: -0.359 Prob(JB): 0.423\n",
|
||
"Kurtosis: 2.977 Cond. No. 245.\n",
|
||
"==============================================================================\n",
|
||
"\n",
|
||
"Notes:\n",
|
||
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"wageAgeEduModel1 = sm.OLS(\n",
|
||
" wagesDf[\"Wage\"],\n",
|
||
" sm.add_constant(wagesDf[[\"Age\", \"Educ\"]])\n",
|
||
")\n",
|
||
"wageAgeEduModel1Fit = wageAgeEduModel1.fit()\n",
|
||
"print(wageAgeEduModel1Fit.summary())"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 30,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"<statsmodels.regression.linear_model.OLS at 0x36c2bcec0>"
|
||
]
|
||
},
|
||
"execution_count": 30,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"from functions.exportModel import exportModel\n",
|
||
"exportModel({\n",
|
||
" \"modelName\": \"wageAgeEduModel1\",\n",
|
||
" \"model\": wageAgeEduModel1,\n",
|
||
" \"description\": \"Predict Wage based on Age and Educ for wagesDf\",\n",
|
||
" \"modelType\": \"sm.OLS\",\n",
|
||
" \"baseRelativePath\": \"..\",\n",
|
||
" \"inputs\": [\n",
|
||
" {\n",
|
||
" \"name\": \"const\",\n",
|
||
" \"type\": \"int\"\n",
|
||
" },\n",
|
||
" {\n",
|
||
" \"name\": \"Age\",\n",
|
||
" \"type\": \"float\"\n",
|
||
" },\n",
|
||
" {\n",
|
||
" \"name\": \"Educ\",\n",
|
||
" \"type\": \"float\"\n",
|
||
" }\n",
|
||
" ],\n",
|
||
" \"output\": {\n",
|
||
" \"name\": \"Wage\",\n",
|
||
" \"type\": \"float\"\n",
|
||
" }\n",
|
||
"})"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 31,
|
||
"metadata": {
|
||
"colab": {
|
||
"base_uri": "https://localhost:8080/",
|
||
"height": 423
|
||
},
|
||
"id": "g7H5sriP89MI",
|
||
"outputId": "aeaded50-79e3-4ba4-cbb0-b0c4eaf492df"
|
||
},
|
||
"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>Wage</th>\n",
|
||
" <th>Educ</th>\n",
|
||
" <th>Age</th>\n",
|
||
" <th>predictedWage1</th>\n",
|
||
" <th>predictedWage2</th>\n",
|
||
" <th>agePower2</th>\n",
|
||
" <th>predictedWage3</th>\n",
|
||
" <th>predictedWage4</th>\n",
|
||
" </tr>\n",
|
||
" </thead>\n",
|
||
" <tbody>\n",
|
||
" <tr>\n",
|
||
" <th>69</th>\n",
|
||
" <td>25.13</td>\n",
|
||
" <td>16</td>\n",
|
||
" <td>18</td>\n",
|
||
" <td>28.050153</td>\n",
|
||
" <td>22.922107</td>\n",
|
||
" <td>324.0</td>\n",
|
||
" <td>11.536003</td>\n",
|
||
" <td>26.543357</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>27</th>\n",
|
||
" <td>12.39</td>\n",
|
||
" <td>13</td>\n",
|
||
" <td>19</td>\n",
|
||
" <td>23.697149</td>\n",
|
||
" <td>22.985891</td>\n",
|
||
" <td>361.0</td>\n",
|
||
" <td>12.651138</td>\n",
|
||
" <td>22.267494</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>62</th>\n",
|
||
" <td>6.93</td>\n",
|
||
" <td>6</td>\n",
|
||
" <td>21</td>\n",
|
||
" <td>13.540139</td>\n",
|
||
" <td>23.113459</td>\n",
|
||
" <td>441.0</td>\n",
|
||
" <td>14.777375</td>\n",
|
||
" <td>12.274758</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>60</th>\n",
|
||
" <td>18.11</td>\n",
|
||
" <td>14</td>\n",
|
||
" <td>21</td>\n",
|
||
" <td>25.148150</td>\n",
|
||
" <td>23.113459</td>\n",
|
||
" <td>441.0</td>\n",
|
||
" <td>14.777375</td>\n",
|
||
" <td>23.802849</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>28</th>\n",
|
||
" <td>16.37</td>\n",
|
||
" <td>12</td>\n",
|
||
" <td>22</td>\n",
|
||
" <td>22.246147</td>\n",
|
||
" <td>23.177243</td>\n",
|
||
" <td>484.0</td>\n",
|
||
" <td>15.788477</td>\n",
|
||
" <td>20.967998</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>...</th>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>48</th>\n",
|
||
" <td>28.95</td>\n",
|
||
" <td>20</td>\n",
|
||
" <td>75</td>\n",
|
||
" <td>33.854159</td>\n",
|
||
" <td>26.557784</td>\n",
|
||
" <td>5625.0</td>\n",
|
||
" <td>19.752807</td>\n",
|
||
" <td>34.996187</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>77</th>\n",
|
||
" <td>21.87</td>\n",
|
||
" <td>15</td>\n",
|
||
" <td>75</td>\n",
|
||
" <td>26.599152</td>\n",
|
||
" <td>26.557784</td>\n",
|
||
" <td>5625.0</td>\n",
|
||
" <td>19.752807</td>\n",
|
||
" <td>27.791130</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>67</th>\n",
|
||
" <td>15.38</td>\n",
|
||
" <td>12</td>\n",
|
||
" <td>76</td>\n",
|
||
" <td>22.246147</td>\n",
|
||
" <td>26.621568</td>\n",
|
||
" <td>5776.0</td>\n",
|
||
" <td>18.891302</td>\n",
|
||
" <td>23.515267</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>0</th>\n",
|
||
" <td>17.54</td>\n",
|
||
" <td>12</td>\n",
|
||
" <td>76</td>\n",
|
||
" <td>22.246147</td>\n",
|
||
" <td>26.621568</td>\n",
|
||
" <td>5776.0</td>\n",
|
||
" <td>18.891302</td>\n",
|
||
" <td>23.515267</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>50</th>\n",
|
||
" <td>10.31</td>\n",
|
||
" <td>9</td>\n",
|
||
" <td>77</td>\n",
|
||
" <td>17.893143</td>\n",
|
||
" <td>26.685352</td>\n",
|
||
" <td>5929.0</td>\n",
|
||
" <td>17.995120</td>\n",
|
||
" <td>19.239405</td>\n",
|
||
" </tr>\n",
|
||
" </tbody>\n",
|
||
"</table>\n",
|
||
"<p>80 rows × 8 columns</p>\n",
|
||
"</div>"
|
||
],
|
||
"text/plain": [
|
||
" Wage Educ Age predictedWage1 predictedWage2 agePower2 \\\n",
|
||
"69 25.13 16 18 28.050153 22.922107 324.0 \n",
|
||
"27 12.39 13 19 23.697149 22.985891 361.0 \n",
|
||
"62 6.93 6 21 13.540139 23.113459 441.0 \n",
|
||
"60 18.11 14 21 25.148150 23.113459 441.0 \n",
|
||
"28 16.37 12 22 22.246147 23.177243 484.0 \n",
|
||
".. ... ... ... ... ... ... \n",
|
||
"48 28.95 20 75 33.854159 26.557784 5625.0 \n",
|
||
"77 21.87 15 75 26.599152 26.557784 5625.0 \n",
|
||
"67 15.38 12 76 22.246147 26.621568 5776.0 \n",
|
||
"0 17.54 12 76 22.246147 26.621568 5776.0 \n",
|
||
"50 10.31 9 77 17.893143 26.685352 5929.0 \n",
|
||
"\n",
|
||
" predictedWage3 predictedWage4 \n",
|
||
"69 11.536003 26.543357 \n",
|
||
"27 12.651138 22.267494 \n",
|
||
"62 14.777375 12.274758 \n",
|
||
"60 14.777375 23.802849 \n",
|
||
"28 15.788477 20.967998 \n",
|
||
".. ... ... \n",
|
||
"48 19.752807 34.996187 \n",
|
||
"77 19.752807 27.791130 \n",
|
||
"67 18.891302 23.515267 \n",
|
||
"0 18.891302 23.515267 \n",
|
||
"50 17.995120 19.239405 \n",
|
||
"\n",
|
||
"[80 rows x 8 columns]"
|
||
]
|
||
},
|
||
"execution_count": 31,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"predictedWage4 = wageAgeEduModel1Fit.predict(\n",
|
||
" sm.add_constant(wagesDf[[\"Age\", \"Educ\"]])\n",
|
||
")\n",
|
||
"wagesDf['predictedWage4'] = predictedWage4\n",
|
||
"wagesDf"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 32,
|
||
"metadata": {
|
||
"colab": {
|
||
"base_uri": "https://localhost:8080/",
|
||
"height": 430
|
||
},
|
||
"id": "B6uSr6jt9H9v",
|
||
"outputId": "9ee4d99e-7b65-46ae-d61d-08abe262057d"
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# Extracting coefficients\n",
|
||
"intercept = wageAgeEduModel1Fit.params['const']\n",
|
||
"coefAge = wageAgeEduModel1Fit.params['Age']\n",
|
||
"coefEduc = wageAgeEduModel1Fit.params['Educ']\n",
|
||
"\n",
|
||
"# Create 3D grid for plotting\n",
|
||
"ageRange = np.linspace(wagesDf['Age'].min(), wagesDf['Age'].max(), 100)\n",
|
||
"educRange = np.linspace(wagesDf['Educ'].min(), wagesDf['Educ'].max(), 100)\n",
|
||
"ageGrid, educGrid = np.meshgrid(ageRange, educRange)\n",
|
||
"\n",
|
||
"# Calculate predicted Wage for each combination of Age and Educ\n",
|
||
"wagePredictEq = intercept + coefAge * ageGrid + coefEduc * educGrid\n",
|
||
"\n",
|
||
"\n",
|
||
"\n",
|
||
"\n",
|
||
"fig = plt.figure()\n",
|
||
"ax = plt.axes(projection =\"3d\")\n",
|
||
"\n",
|
||
"# Scatter plot of the actual data points\n",
|
||
"ax.scatter(wagesDf['Age'], wagesDf['Educ'], wagesDf['Wage'], color='blue', label='Actual Wage')\n",
|
||
"\n",
|
||
"# Plotting the fitted plane\n",
|
||
"ax.plot_surface(ageGrid, educGrid, wagePredictEq, color='red', alpha=0.5, label='Fitted Plane')\n",
|
||
"\n",
|
||
"# Labeling axes\n",
|
||
"ax.set_xlabel('Age')\n",
|
||
"ax.set_ylabel('Educ')\n",
|
||
"ax.set_zlabel('Wage')\n",
|
||
"\n",
|
||
"\n",
|
||
"\n",
|
||
"plt.title('Age and Educ vs. Wage with Fitted Plane')\n",
|
||
"\n",
|
||
"# Rotating the plot\n",
|
||
"# ax.view_init(elev=45, azim=45) # Set the elevation and azimuth angles\n",
|
||
"plt.show()\n",
|
||
"\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 33,
|
||
"metadata": {
|
||
"colab": {
|
||
"base_uri": "https://localhost:8080/"
|
||
},
|
||
"id": "FcfLUqqc-AUb",
|
||
"outputId": "641a5fe0-840a-410d-a7dc-b574a32cbdc2"
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
" OLS Regression Results \n",
|
||
"==============================================================================\n",
|
||
"Dep. Variable: Wage R-squared: 0.832\n",
|
||
"Model: OLS Adj. R-squared: 0.826\n",
|
||
"Method: Least Squares F-statistic: 125.7\n",
|
||
"Date: Sun, 09 Jun 2024 Prob (F-statistic): 2.18e-29\n",
|
||
"Time: 01:26:14 Log-Likelihood: -202.56\n",
|
||
"No. Observations: 80 AIC: 413.1\n",
|
||
"Df Residuals: 76 BIC: 422.7\n",
|
||
"Df Model: 3 \n",
|
||
"Covariance Type: nonrobust \n",
|
||
"==============================================================================\n",
|
||
" coef std err t P>|t| [0.025 0.975]\n",
|
||
"------------------------------------------------------------------------------\n",
|
||
"const -22.7219 3.023 -7.517 0.000 -28.742 -16.701\n",
|
||
"Age 1.3500 0.134 10.077 0.000 1.083 1.617\n",
|
||
"Educ 1.2540 0.090 13.990 0.000 1.075 1.432\n",
|
||
"agePower2 -0.0133 0.001 -9.840 0.000 -0.016 -0.011\n",
|
||
"==============================================================================\n",
|
||
"Omnibus: 3.000 Durbin-Watson: 1.979\n",
|
||
"Prob(Omnibus): 0.223 Jarque-Bera (JB): 2.884\n",
|
||
"Skew: 0.031 Prob(JB): 0.236\n",
|
||
"Kurtosis: 3.928 Cond. No. 2.79e+04\n",
|
||
"==============================================================================\n",
|
||
"\n",
|
||
"Notes:\n",
|
||
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
|
||
"[2] The condition number is large, 2.79e+04. This might indicate that there are\n",
|
||
"strong multicollinearity or other numerical problems.\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"wageAgePower2EducModel = sm.OLS(\n",
|
||
" wagesDf[\"Wage\"],\n",
|
||
" sm.add_constant(wagesDf[[\"Age\", \"Educ\", \"agePower2\"]])\n",
|
||
")\n",
|
||
"wageAgePower2EducModelFit = wageAgePower2EducModel.fit()\n",
|
||
"print(wageAgePower2EducModelFit.summary())"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 34,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"<statsmodels.regression.linear_model.RegressionResultsWrapper at 0x36d9fb9e0>"
|
||
]
|
||
},
|
||
"execution_count": 34,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"from functions.exportModel import exportModel\n",
|
||
"exportModel({\n",
|
||
" \"modelName\": \"wageAgePower2EducModelFit\",\n",
|
||
" \"model\": wageAgePower2EducModelFit,\n",
|
||
" \"description\": \"Predict Wage based on Age quadradic and Educ for wagesDf\",\n",
|
||
" \"modelType\": \"sm.OLS\",\n",
|
||
" \"baseRelativePath\": \"..\",\n",
|
||
" \"inputs\": [\n",
|
||
" {\n",
|
||
" \"name\": \"const\",\n",
|
||
" \"type\": \"int\"\n",
|
||
" },\n",
|
||
" {\n",
|
||
" \"name\": \"Age\",\n",
|
||
" \"type\": \"float\"\n",
|
||
" },\n",
|
||
" {\n",
|
||
" \"name\": \"Educ\",\n",
|
||
" \"type\": \"float\"\n",
|
||
" }\n",
|
||
" ],\n",
|
||
" \"transformers\":[\n",
|
||
" {\n",
|
||
" \"name\": \"agePower2\",\n",
|
||
" \"transformer\": \"AGE_POWER_2\"\n",
|
||
" }\n",
|
||
" ],\n",
|
||
" \"output\": {\n",
|
||
" \"name\": \"Wage\",\n",
|
||
" \"type\": \"float\"\n",
|
||
" }\n",
|
||
"})"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 35,
|
||
"metadata": {
|
||
"colab": {
|
||
"base_uri": "https://localhost:8080/",
|
||
"height": 423
|
||
},
|
||
"id": "8yE7of2c-Mb-",
|
||
"outputId": "a240051f-99af-410b-aa53-a65147f0f885"
|
||
},
|
||
"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>Wage</th>\n",
|
||
" <th>Educ</th>\n",
|
||
" <th>Age</th>\n",
|
||
" <th>predictedWage1</th>\n",
|
||
" <th>predictedWage2</th>\n",
|
||
" <th>agePower2</th>\n",
|
||
" <th>predictedWage3</th>\n",
|
||
" <th>predictedWage4</th>\n",
|
||
" <th>predictedWage5</th>\n",
|
||
" </tr>\n",
|
||
" </thead>\n",
|
||
" <tbody>\n",
|
||
" <tr>\n",
|
||
" <th>69</th>\n",
|
||
" <td>25.13</td>\n",
|
||
" <td>16</td>\n",
|
||
" <td>18</td>\n",
|
||
" <td>28.050153</td>\n",
|
||
" <td>22.922107</td>\n",
|
||
" <td>324.0</td>\n",
|
||
" <td>11.536003</td>\n",
|
||
" <td>26.543357</td>\n",
|
||
" <td>17.325188</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>27</th>\n",
|
||
" <td>12.39</td>\n",
|
||
" <td>13</td>\n",
|
||
" <td>19</td>\n",
|
||
" <td>23.697149</td>\n",
|
||
" <td>22.985891</td>\n",
|
||
" <td>361.0</td>\n",
|
||
" <td>12.651138</td>\n",
|
||
" <td>22.267494</td>\n",
|
||
" <td>14.420408</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>62</th>\n",
|
||
" <td>6.93</td>\n",
|
||
" <td>6</td>\n",
|
||
" <td>21</td>\n",
|
||
" <td>13.540139</td>\n",
|
||
" <td>23.113459</td>\n",
|
||
" <td>441.0</td>\n",
|
||
" <td>14.777375</td>\n",
|
||
" <td>12.274758</td>\n",
|
||
" <td>7.276959</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>60</th>\n",
|
||
" <td>18.11</td>\n",
|
||
" <td>14</td>\n",
|
||
" <td>21</td>\n",
|
||
" <td>25.148150</td>\n",
|
||
" <td>23.113459</td>\n",
|
||
" <td>441.0</td>\n",
|
||
" <td>14.777375</td>\n",
|
||
" <td>23.802849</td>\n",
|
||
" <td>17.308629</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>28</th>\n",
|
||
" <td>16.37</td>\n",
|
||
" <td>12</td>\n",
|
||
" <td>22</td>\n",
|
||
" <td>22.246147</td>\n",
|
||
" <td>23.177243</td>\n",
|
||
" <td>484.0</td>\n",
|
||
" <td>15.788477</td>\n",
|
||
" <td>20.967998</td>\n",
|
||
" <td>15.577878</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>...</th>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" <td>...</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>48</th>\n",
|
||
" <td>28.95</td>\n",
|
||
" <td>20</td>\n",
|
||
" <td>75</td>\n",
|
||
" <td>33.854159</td>\n",
|
||
" <td>26.557784</td>\n",
|
||
" <td>5625.0</td>\n",
|
||
" <td>19.752807</td>\n",
|
||
" <td>34.996187</td>\n",
|
||
" <td>28.672466</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>77</th>\n",
|
||
" <td>21.87</td>\n",
|
||
" <td>15</td>\n",
|
||
" <td>75</td>\n",
|
||
" <td>26.599152</td>\n",
|
||
" <td>26.557784</td>\n",
|
||
" <td>5625.0</td>\n",
|
||
" <td>19.752807</td>\n",
|
||
" <td>27.791130</td>\n",
|
||
" <td>22.402672</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>67</th>\n",
|
||
" <td>15.38</td>\n",
|
||
" <td>12</td>\n",
|
||
" <td>76</td>\n",
|
||
" <td>22.246147</td>\n",
|
||
" <td>26.621568</td>\n",
|
||
" <td>5776.0</td>\n",
|
||
" <td>18.891302</td>\n",
|
||
" <td>23.515267</td>\n",
|
||
" <td>17.979211</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>0</th>\n",
|
||
" <td>17.54</td>\n",
|
||
" <td>12</td>\n",
|
||
" <td>76</td>\n",
|
||
" <td>22.246147</td>\n",
|
||
" <td>26.621568</td>\n",
|
||
" <td>5776.0</td>\n",
|
||
" <td>18.891302</td>\n",
|
||
" <td>23.515267</td>\n",
|
||
" <td>17.979211</td>\n",
|
||
" </tr>\n",
|
||
" <tr>\n",
|
||
" <th>50</th>\n",
|
||
" <td>10.31</td>\n",
|
||
" <td>9</td>\n",
|
||
" <td>77</td>\n",
|
||
" <td>17.893143</td>\n",
|
||
" <td>26.685352</td>\n",
|
||
" <td>5929.0</td>\n",
|
||
" <td>17.995120</td>\n",
|
||
" <td>19.239405</td>\n",
|
||
" <td>13.529107</td>\n",
|
||
" </tr>\n",
|
||
" </tbody>\n",
|
||
"</table>\n",
|
||
"<p>80 rows × 9 columns</p>\n",
|
||
"</div>"
|
||
],
|
||
"text/plain": [
|
||
" Wage Educ Age predictedWage1 predictedWage2 agePower2 \\\n",
|
||
"69 25.13 16 18 28.050153 22.922107 324.0 \n",
|
||
"27 12.39 13 19 23.697149 22.985891 361.0 \n",
|
||
"62 6.93 6 21 13.540139 23.113459 441.0 \n",
|
||
"60 18.11 14 21 25.148150 23.113459 441.0 \n",
|
||
"28 16.37 12 22 22.246147 23.177243 484.0 \n",
|
||
".. ... ... ... ... ... ... \n",
|
||
"48 28.95 20 75 33.854159 26.557784 5625.0 \n",
|
||
"77 21.87 15 75 26.599152 26.557784 5625.0 \n",
|
||
"67 15.38 12 76 22.246147 26.621568 5776.0 \n",
|
||
"0 17.54 12 76 22.246147 26.621568 5776.0 \n",
|
||
"50 10.31 9 77 17.893143 26.685352 5929.0 \n",
|
||
"\n",
|
||
" predictedWage3 predictedWage4 predictedWage5 \n",
|
||
"69 11.536003 26.543357 17.325188 \n",
|
||
"27 12.651138 22.267494 14.420408 \n",
|
||
"62 14.777375 12.274758 7.276959 \n",
|
||
"60 14.777375 23.802849 17.308629 \n",
|
||
"28 15.788477 20.967998 15.577878 \n",
|
||
".. ... ... ... \n",
|
||
"48 19.752807 34.996187 28.672466 \n",
|
||
"77 19.752807 27.791130 22.402672 \n",
|
||
"67 18.891302 23.515267 17.979211 \n",
|
||
"0 18.891302 23.515267 17.979211 \n",
|
||
"50 17.995120 19.239405 13.529107 \n",
|
||
"\n",
|
||
"[80 rows x 9 columns]"
|
||
]
|
||
},
|
||
"execution_count": 35,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"predictedWage5 = wageAgePower2EducModelFit.predict(\n",
|
||
" sm.add_constant(wagesDf[[\"Age\", \"Educ\", \"agePower2\"]])\n",
|
||
")\n",
|
||
"wagesDf['predictedWage5'] = predictedWage5\n",
|
||
"wagesDf"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 36,
|
||
"metadata": {
|
||
"colab": {
|
||
"base_uri": "https://localhost:8080/",
|
||
"height": 430
|
||
},
|
||
"id": "iKJ_cPMm-bKj",
|
||
"outputId": "2040b352-e2ac-498d-cfc7-5988b1b859f1"
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# Extracting coefficients\n",
|
||
"intercept2 = wageAgePower2EducModelFit.params['const']\n",
|
||
"coefAge2 = wageAgePower2EducModelFit.params['Age']\n",
|
||
"coefEduc2 = wageAgePower2EducModelFit.params['Educ']\n",
|
||
"coefAgePower22 = wageAgePower2EducModelFit.params['agePower2']\n",
|
||
"\n",
|
||
"# Create 3D grid for plotting\n",
|
||
"ageRange = np.linspace(wagesDf['Age'].min(), wagesDf['Age'].max(), 100)\n",
|
||
"educRange = np.linspace(wagesDf['Educ'].min(), wagesDf['Educ'].max(), 100)\n",
|
||
"ageGrid, educGrid = np.meshgrid(ageRange, educRange)\n",
|
||
"\n",
|
||
"# Calculate predicted Wage for each combination of Age and Educ\n",
|
||
"wagePredictEq2 = intercept2 + coefAge2 * ageGrid + coefEduc2 * educGrid + coefAgePower22 * ageGrid * ageGrid\n",
|
||
"\n",
|
||
"\n",
|
||
"\n",
|
||
"\n",
|
||
"fig = plt.figure()\n",
|
||
"ax = plt.axes(projection =\"3d\")\n",
|
||
"\n",
|
||
"# Scatter plot of the actual data points\n",
|
||
"ax.scatter(wagesDf['Age'], wagesDf['Educ'], wagesDf['Wage'], color='blue', label='Actual Wage')\n",
|
||
"\n",
|
||
"\n",
|
||
"\n",
|
||
"# Plotting the fitted plane\n",
|
||
"ax.plot_surface(ageGrid, educGrid, wagePredictEq2, color='green', alpha=0.5, label='Fitted Plane')\n",
|
||
"\n",
|
||
"# Labeling axes\n",
|
||
"ax.set_xlabel('Age')\n",
|
||
"ax.set_ylabel('Educ')\n",
|
||
"ax.set_zlabel('Wage')\n",
|
||
"\n",
|
||
"\n",
|
||
"\n",
|
||
"plt.title('Age and Educ vs. Wage with Fitted Plane')\n",
|
||
"\n",
|
||
"# Rotating the plot\n",
|
||
"# ax.view_init(elev=45, azim=45) # Set the elevation and azimuth angles\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 38,
|
||
"metadata": {
|
||
"colab": {
|
||
"base_uri": "https://localhost:8080/",
|
||
"height": 430
|
||
},
|
||
"id": "g8HsfNtZ_FNl",
|
||
"outputId": "18a36a34-2711-49fd-a86a-3bdd4ce5bb24"
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# Extracting coefficients\n",
|
||
"intercept2 = wageAgePower2EducModelFit.params['const']\n",
|
||
"coefAge2 = wageAgePower2EducModelFit.params['Age']\n",
|
||
"coefEduc2 = wageAgePower2EducModelFit.params['Educ']\n",
|
||
"coefAgePower22 = wageAgePower2EducModelFit.params['agePower2']\n",
|
||
"\n",
|
||
"# Create 3D grid for plotting\n",
|
||
"ageRange = np.linspace(wagesDf['Age'].min(), wagesDf['Age'].max(), 100)\n",
|
||
"educRange = np.linspace(wagesDf['Educ'].min(), wagesDf['Educ'].max(), 100)\n",
|
||
"ageGrid, educGrid = np.meshgrid(ageRange, educRange)\n",
|
||
"\n",
|
||
"# Calculate predicted Wage for each combination of Age and Educ\n",
|
||
"wagePredictEq2 = intercept2 + coefAge2 * ageGrid + coefEduc2 * educGrid + coefAgePower22 * ageGrid * ageGrid\n",
|
||
"\n",
|
||
"\n",
|
||
"\n",
|
||
"\n",
|
||
"fig = plt.figure()\n",
|
||
"ax = plt.axes(projection =\"3d\")\n",
|
||
"\n",
|
||
"# Scatter plot of the actual data points\n",
|
||
"ax.scatter(wagesDf['Age'], wagesDf['Educ'], wagesDf['Wage'], color='blue', label='Actual Wage')\n",
|
||
"\n",
|
||
"# Plotting the fitted plane\n",
|
||
"ax.plot_surface(ageGrid, educGrid, wagePredictEq, color='red', alpha=0.5, label='Fitted Plane')\n",
|
||
"\n",
|
||
"\n",
|
||
"# Plotting the fitted plane\n",
|
||
"ax.plot_surface(ageGrid, educGrid, wagePredictEq2, color='green', alpha=0.5, label='Fitted Plane')\n",
|
||
"\n",
|
||
"# Labeling axes\n",
|
||
"ax.set_xlabel('Age')\n",
|
||
"ax.set_ylabel('Educ')\n",
|
||
"ax.set_zlabel('Wage')\n",
|
||
"\n",
|
||
"\n",
|
||
"\n",
|
||
"plt.title('Age and Educ vs. Wage with Fitted Plane')\n",
|
||
"\n",
|
||
"# Rotating the plot\n",
|
||
"# ax.view_init(elev=45, azim=45) # Set the elevation and azimuth angles\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": []
|
||
}
|
||
],
|
||
"metadata": {
|
||
"colab": {
|
||
"provenance": []
|
||
},
|
||
"kernelspec": {
|
||
"display_name": "Python 3 (ipykernel)",
|
||
"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": "3.12.3"
|
||
}
|
||
},
|
||
"nbformat": 4,
|
||
"nbformat_minor": 4
|
||
}
|