Tire pressure (psi) and mileage (mpg) were recorded for a random sample of seven cars of the same make and model. The extended data table (left) and fit model report (right) are based on a quadratic model Question: Note that highlighted 95% confidence interval for the mean mileage at tire pressure x=31 in the data table. Interpret the highlighted interval (31.77, 35.09) in the context of the tire pressure application
Tire pressure (psi) and mileage (mpg) were recorded for a random sample of seven cars of the same make and model. The extended data table (left) and fit model report (right) are based on a quadratic model Question: Note that highlighted 95% confidence interval for the mean mileage at tire pressure x=31 in the data table. Interpret the highlighted interval (31.77, 35.09) in the context of the tire pressure application
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Tire pressure (psi) and mileage (mpg) were recorded for a random sample of seven cars of the
same make and model. The extended data table (left) and fit model report (right) are based on a
quadratic model
Question: Note that highlighted 95% confidence interval for the mean mileage at tire pressure
x=31 in the data table. Interpret the highlighted interval (31.77, 35.09) in the context of the
tire pressure application
![Part 2. Polynomial Regression
Tire pressure (psi) and mileage (mpg) were recorded for a random sample of seven cars of the
same make and model. The extended data table (left) and fit model report (right) are based on a
quadratic model.
1
23+567
4
Lower 95% Upper 95%
Mileage Pressure Pressure^2 Mean Mileage Mean Mileage
25.22
30.64
31.77
34.98
35.78
34.56
30.91
23.93
29
32
36
38
37
33
26
30
31
ललै लै ल 38
32
33
34
35
36
900
961
1024
1089
1156
1225
1296
Summary of Fit
RSquare
RSquare Adj
Root Mean Square Error
Mean of Response
Observations (or Sum Wgts)
35.09 Analysis of Variance
38.30
39.36
37.87
34.23
29.35
Source
Model
Error
C. Total
1.118034
33
7
Sum of
DF
2
Squares Mean Square
111.00000
5.00000
6 116.00000
55.5000
1.2500
4
Parameter Estimates
F Ratio
44.4000
Prob > F
0.0019"
Term
Estimate Std Error t Ratio Probolti
-1199.929 132.5406
-9.05 0.0008*
Intercept
75.214286 8.053948
Pressure
Pressure^2 -1.142857 0.121988
9.34 0.0007"
-9.37 0.0007*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F62f6355a-05e6-4234-9d59-a73a1309b418%2F37b59e86-d872-4c64-a840-93dcd68f29cd%2Fn4uc82e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Part 2. Polynomial Regression
Tire pressure (psi) and mileage (mpg) were recorded for a random sample of seven cars of the
same make and model. The extended data table (left) and fit model report (right) are based on a
quadratic model.
1
23+567
4
Lower 95% Upper 95%
Mileage Pressure Pressure^2 Mean Mileage Mean Mileage
25.22
30.64
31.77
34.98
35.78
34.56
30.91
23.93
29
32
36
38
37
33
26
30
31
ललै लै ल 38
32
33
34
35
36
900
961
1024
1089
1156
1225
1296
Summary of Fit
RSquare
RSquare Adj
Root Mean Square Error
Mean of Response
Observations (or Sum Wgts)
35.09 Analysis of Variance
38.30
39.36
37.87
34.23
29.35
Source
Model
Error
C. Total
1.118034
33
7
Sum of
DF
2
Squares Mean Square
111.00000
5.00000
6 116.00000
55.5000
1.2500
4
Parameter Estimates
F Ratio
44.4000
Prob > F
0.0019"
Term
Estimate Std Error t Ratio Probolti
-1199.929 132.5406
-9.05 0.0008*
Intercept
75.214286 8.053948
Pressure
Pressure^2 -1.142857 0.121988
9.34 0.0007"
-9.37 0.0007*
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