An engineering student wants to study the impact of temperature and humidity on yie The following data was recorded by the student. S.N Temperature Humidity Yield 40 57 112 45 54 118
An engineering student wants to study the impact of temperature and humidity on yie The following data was recorded by the student. S.N Temperature Humidity Yield 40 57 112 45 54 118
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:An engineering student wants to study the impact of temperature and humidity on yield.
The following data was recorded by the student.
Q1
S.N Temperature Humidity
Yield
1
40
57
112
2
45
54
118
50
54
128
55
60
121
60
66
126
65
59
136
7
70
61
144
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.
B: Multiple Linear regression model between the response variable yield and independent
variables temperature and humidity
j) Estimate the regression coefficients of multiple linear regression model using
matrix approach.
k) Estimate the regression coefficients of multiple linear regression model using
Rstudio.
I) Interpret each regression coefficients.
m) Use the multiple regression model and find the predicted value for each y.
n) Find the residual value.
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