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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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![Question 4
Beachcomber Ltd in a local car dealership that sells used and new vehicles. The manager of the
company wants to know how different variables affect the sales of his vehicles. A random sample of
yearly data was taken with the view to testing the model:
SALES=a+BAGE+YMIL+&ENG
Where SÄLES= amount that a vehícle is sold for($000's), AGE = age of the vehicle, MIL= the total
mileage of the vehicle at the point of sale and ENG= the size of the engine. The sample of data was
processed using MINITAB and the following is an extract of the output obtained:
The regression equation is *****
StDev
Coef
t-ratio
p-value
Predict
or
Constan
1.7586
0.2525
6.9648
0.0000
t
AGE
0.2124
0.3175
0.5042
**
MIL
-0.7527
0.3586
-2.0991
4.8124
***
7.7664
0.0000
ENG
Analysis of Variance
DF
SS
MS
F
Source
3
413.1291
138.709
****
0.00
Regressi
7
on
50
457.7607
2.2888
Error
53.
Total
d) Hence test whether & is significant. Give reasons for your answer.
e) Perform the F Test making sure to state the null and alternative hypothesis.
f) Given an interpretation of the term "R-sq" and comment on its value.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3632b00-0b0d-410d-bed0-ddc832692e3a%2F948fda5d-dcb4-48c6-b246-f8fcc7c79f44%2Fl42v8eh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 4
Beachcomber Ltd in a local car dealership that sells used and new vehicles. The manager of the
company wants to know how different variables affect the sales of his vehicles. A random sample of
yearly data was taken with the view to testing the model:
SALES=a+BAGE+YMIL+&ENG
Where SÄLES= amount that a vehícle is sold for($000's), AGE = age of the vehicle, MIL= the total
mileage of the vehicle at the point of sale and ENG= the size of the engine. The sample of data was
processed using MINITAB and the following is an extract of the output obtained:
The regression equation is *****
StDev
Coef
t-ratio
p-value
Predict
or
Constan
1.7586
0.2525
6.9648
0.0000
t
AGE
0.2124
0.3175
0.5042
**
MIL
-0.7527
0.3586
-2.0991
4.8124
***
7.7664
0.0000
ENG
Analysis of Variance
DF
SS
MS
F
Source
3
413.1291
138.709
****
0.00
Regressi
7
on
50
457.7607
2.2888
Error
53.
Total
d) Hence test whether & is significant. Give reasons for your answer.
e) Perform the F Test making sure to state the null and alternative hypothesis.
f) Given an interpretation of the term "R-sq" and comment on its value.
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