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   What is the predicted average mileage at tire pressure x = 31?

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Chapter10: Statistics
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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

 

What is the predicted average mileage at tire pressure x = 31?

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
1.118034
33
7
Source
Model
Error
C. Total
Parameter Estimates
Sum of
DF
2
Squares Mean Square
111.00000
5.00000
6 116.00000
55.5000
1.2500
4
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 1.118034 33 7 Source Model Error C. Total Parameter Estimates Sum of DF 2 Squares Mean Square 111.00000 5.00000 6 116.00000 55.5000 1.2500 4 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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