We all know that when the temperature of a metal increases, it begins to expand. So, we experimented with exposing a metal rod to different temperatures and recorded its length as follows: 20 Length Temp 25 30 35 40 45 50 60 55 65 0.5 1.8 6.2 6.5 7.8 9.4 9.8 10.9 Required: 1. Implement and plot a simple linear regression for the above data, where the temperature is “x", and the length is “y"

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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use pandas python & numpy

I want number 3)

We all know that when the temperature of a metal increases, it begins to expand. So,
we experimented with exposing a metal rod to different temperatures and recorded its
length as follows:
Temp
Length
20
25
30
35
40
45
50
55
60
65
0.5
1.8
6.2
6.5
7.8
9.4
9.8
10.9
Required:
1. Implement and plot a simple linear regression for the above data, where the
temperature is “x", and the length is "y"
2. Implement and plot a multiple linear regression "Polynomial regression" with
different degrees.
For example, Degree of 3:
Y = Wix' + w2x²+ w3x³ + w4
Where w4 represents bias.
*you can use normal equation to calculate 'W' as follow:
W = (XT.X)-1.(XT.Y)
Then calculate Y, Where Y = X.WT
3. Try degree of 2, 3, 5, and 8
Transcribed Image Text:We all know that when the temperature of a metal increases, it begins to expand. So, we experimented with exposing a metal rod to different temperatures and recorded its length as follows: Temp Length 20 25 30 35 40 45 50 55 60 65 0.5 1.8 6.2 6.5 7.8 9.4 9.8 10.9 Required: 1. Implement and plot a simple linear regression for the above data, where the temperature is “x", and the length is "y" 2. Implement and plot a multiple linear regression "Polynomial regression" with different degrees. For example, Degree of 3: Y = Wix' + w2x²+ w3x³ + w4 Where w4 represents bias. *you can use normal equation to calculate 'W' as follow: W = (XT.X)-1.(XT.Y) Then calculate Y, Where Y = X.WT 3. Try degree of 2, 3, 5, and 8
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