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
icon
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*
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*
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman