Answered: S.N Temperature Humidity 1 40 57 2 45… | bartleby

Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.CR: Review Exercises

Problem 90CR

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Question

Q1
An engineering student wants to study the impact of temperature and humidity on yield.
The following data was recorded by the student.
S.N Temperature Humidity
Yield
1
40
57
112
45
54
118
50
54
128
4
55
60
121
60
66
126
65
59
136
7
70
61
144
8
75
58
142
9
80
59
149
10
85
56
165
A: Simple Linear regression model between yield and temperature.
a) Compute the correlation coefficient between yield and temperature.
b) Find the equation of regression line between yields on temperature using least
square method.
c) Draw the scatter diagram between yield and temperature.
d) Show the best fitted line on scatter diagram.
e) What percentage of the variable yield can be explained by the variable
temperature?
f) Estimate the yield when the temperature is 35F.
g) Find the predicted value for each y using the temperature value and the equation
obtained in part b.
h) Find the residual value.
i) Using Rstudio, check the assumption of the model obtained in part b.
2.
3.

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