Answered: 1. Implement and plot a simple linear…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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In python 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 20 25 30 35 40 45 50 55 60 65
Length 0.5 1.8 5 6 6.2 6.5 7.8 9.4 9.8 10.9

Now do these requirments:

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 = w1x1 + w2x2 + w3x3 + w4
Where w4 represents bias.
*you can use a normal equation to calculate ‘W’ as follow:
W = (XT.X)-1.(XT.Y)
Then calculate Y, Where Y = X.WT

3) Try degrees of 2, 3, 5, and 8

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' + w2x? + w3x³ + W4
Where wa represents bias.
*you can use normal equation to calculate 'W' as follow:
W= (X".X)1.(x".Y)
Then calculate Y, Where Y = X.WT
3. Try degree of 2, 3, 5, and 8

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