7.4多元线性回归实例1--python机器学习

青旅半醒 2022-09-28 13:22 156阅读 0赞

[原文地址][Link 1]

参考彭亮老师的视频教程：转载请注明出处及彭亮老师原创  
视频教程： http://pan.baidu.com/s/1kVNe5EJ

1. 例子

一家快递公司送货：X1： 运输里程 X2： 运输次数   Y：总运输时间

<table style="border-collapse:collapse; width:442.8pt"> 
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 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-left:1pt solid rgb(0,0,0); border-top:1pt solid rgb(0,0,0); background-color:rgb(0,0,0)"> Driving&nbsp; Assignment </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-top:1pt solid rgb(0,0,0); background-color:rgb(0,0,0)"> X1=Miles&nbsp; Traveled </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-top:1pt solid rgb(0,0,0); background-color:rgb(0,0,0)"> X2=Number&nbsp;of&nbsp;Deliveries </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-right:1pt solid rgb(0,0,0); border-top:1pt solid rgb(0,0,0); background-color:rgb(0,0,0)"> Y=&nbsp;Travel&nbsp;Time&nbsp;(Hours) </td> 
 </tr> 
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 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-left:1pt solid rgb(0,0,0); border-top-style:none; border-bottom:1pt solid rgb(0,0,0)"> 1 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-top-style:none; border-bottom:1pt solid rgb(0,0,0)"> 100 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-top-style:none; border-bottom:1pt solid rgb(0,0,0)"> 4 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-right:1pt solid rgb(0,0,0); border-top-style:none; border-bottom:1pt solid rgb(0,0,0)"> 9.3 </td> 
 </tr> 
 <tr> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-left:1pt solid rgb(0,0,0)"> 2 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt"> 50 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt"> 3 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-right:1pt solid rgb(0,0,0)"> 4.8 </td> 
 </tr> 
 <tr> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-left:1pt solid rgb(0,0,0); border-top-style:none; border-bottom:1pt solid rgb(0,0,0)"> 3 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-top-style:none; border-bottom:1pt solid rgb(0,0,0)"> 100 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-top-style:none; border-bottom:1pt solid rgb(0,0,0)"> 4 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-right:1pt solid rgb(0,0,0); border-top-style:none; border-bottom:1pt solid rgb(0,0,0)"> 8.9 </td> 
 </tr> 
 <tr> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-left:1pt solid rgb(0,0,0)"> 4 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt"> 100 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt"> 2 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-right:1pt solid rgb(0,0,0)"> 6.5 </td> 
 </tr> 
 <tr> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-left:1pt solid rgb(0,0,0); border-top-style:none; border-bottom:1pt solid rgb(0,0,0)"> 5 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-top-style:none; border-bottom:1pt solid rgb(0,0,0)"> 50 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-top-style:none; border-bottom:1pt solid rgb(0,0,0)"> 2 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-right:1pt solid rgb(0,0,0); border-top-style:none; border-bottom:1pt solid rgb(0,0,0)"> 4.2 </td> 
 </tr> 
 <tr> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-left:1pt solid rgb(0,0,0)"> 6 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt"> 80 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt"> 2 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-right:1pt solid rgb(0,0,0)"> 6.2 </td> 
 </tr> 
 <tr> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-left:1pt solid rgb(0,0,0); border-top-style:none; border-bottom:1pt solid rgb(0,0,0)"> 7 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-top-style:none; border-bottom:1pt solid rgb(0,0,0)"> 75 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-top-style:none; border-bottom:1pt solid rgb(0,0,0)"> 3 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-right:1pt solid rgb(0,0,0); border-top-style:none; border-bottom:1pt solid rgb(0,0,0)"> 7.4 </td> 
 </tr> 
 <tr> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-left:1pt solid rgb(0,0,0)"> 8 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt"> 65 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt"> 4 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-right:1pt solid rgb(0,0,0)"> 6.0 </td> 
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 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-left:1pt solid rgb(0,0,0); border-top-style:none; border-bottom:1pt solid rgb(0,0,0)"> 9 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-top-style:none; border-bottom:1pt solid rgb(0,0,0)"> 90 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-top-style:none; border-bottom:1pt solid rgb(0,0,0)"> 3 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-right:1pt solid rgb(0,0,0); border-top-style:none; border-bottom:1pt solid rgb(0,0,0)"> 7.6 </td> 
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 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-left:1pt solid rgb(0,0,0); border-bottom:1pt solid rgb(0,0,0)"> 10 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-bottom:1pt solid rgb(0,0,0)"> 90 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-bottom:1pt solid rgb(0,0,0)"> 2 </td> 
 <td style="font-family:Tahoma; font-size:10pt; width:110.7pt; padding:0pt 5.4pt; border-right:1pt solid rgb(0,0,0); border-bottom:1pt solid rgb(0,0,0)"> 6.1 </td> 
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目的，求出b0, b1,.... bp：

y\_hat=b 0 ＋b １ x 1 \+b 2 x 2 \+ ... +b p x p

2. Python代码：

from numpy import genfromtxt

import numpy as np

from sklearn import datasets, linear\_model

dataPath = r"D:\\MaiziEdu\\DeepLearningBasics\_MachineLearning\\Datasets\\Delivery.csv"