Below is some of the regression output from a simple regression of the gas mileage (expressed in miles per gallon) (MPG) an automobile gets and the size of the car's engine (expressed in cubic liters) and car weight (expressed in tons) Regression Statistics Multiple R R. Square Adjusted R. Square Standard Error Observations 0.982 10 ANOVA df SS MS F Significance F Regression Residual 574.7 287.4 96.3 8.08847E-06 3.0 Total 9 595.6 Coefficients 21.86 0.000 48.44 60.19 Standard Error t Stat P-value Lower 95% Upper 95% 2.48 1.7 3.5 IT BEC Intercept Engine Size 54.0 -4.5 Weight -15.2 0.054 0.003 -24.41 0.09 Based on the regression output, what is R² (or coefficient of determination)? (please express your answer using 3 decimal places)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter14: Data Mining
Section14.2: Classification Methods
Problem 1P: The file P14_01.xlsx contains data on 100 consumers who drink beer. Some of them prefer light beer,...
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Below is some of the regression output from a simple regression of the gas mileage (expressed in miles per gallon) (MPG) an automobile gets and the size of the car's engine (expressed in cubic liters) and car
weight (expressed in tons)
Regression Statistics
Multiple R
R. Square
Adjusted R. Square
Standard Error
Observations
0.982
10
ANOVA
df
SS
MS F
Significance F
Regression
Residual
574.7
287.4 96.3
8.08847E-06
3.0
Total
9
595.6
Coefficients
21.86 0.000 48.44
60.19
Standard Error
t Stat P-value Lower 95%
Upper 95%
2.48
1.7
3.5
IT BEC
Intercept
Engine Size
54.0
-4.5
Weight
-15.2
0.054
0.003
-24.41
0.09
Based on the regression output, what is R² (or coefficient of determination)? (please express your answer using 3 decimal places)
Transcribed Image Text:Below is some of the regression output from a simple regression of the gas mileage (expressed in miles per gallon) (MPG) an automobile gets and the size of the car's engine (expressed in cubic liters) and car weight (expressed in tons) Regression Statistics Multiple R R. Square Adjusted R. Square Standard Error Observations 0.982 10 ANOVA df SS MS F Significance F Regression Residual 574.7 287.4 96.3 8.08847E-06 3.0 Total 9 595.6 Coefficients 21.86 0.000 48.44 60.19 Standard Error t Stat P-value Lower 95% Upper 95% 2.48 1.7 3.5 IT BEC Intercept Engine Size 54.0 -4.5 Weight -15.2 0.054 0.003 -24.41 0.09 Based on the regression output, what is R² (or coefficient of determination)? (please express your answer using 3 decimal places)
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