Below is some of the regression output from a regression of the gas mileage (expressed in miles per gallon) (MPG) an automobile gets versus the size of the car's engine (expressed in cubic liters) and the weight of the car (expressed in tons) Regression Statistics Multiple R 0.982 R Square Adjusted R Square Standard Error Observations 10 ANOVA df MS F Significance F Regression 574.7 287.4 96.3 8.0S847E-06 Residual 3.0 Total 595.6 Coefficients Standard Error t Stat P-value Lower 95% 21.86 0.000 0.054 Upper 95% 60.19 Intercept 52.2 2.48 48.44 Engine Size -3.8 1.77 0.09 Weight -17.5 3.05 0.003 -24.41 Based on the regression output, if we wanted to test the following hypothesis: H0: coefficient on Weight is GREATER THAN -14 H1: coefficient on Weight is LESS THAN -14 What is the critical value for this hypothesis test if we use a 5% level of significance? (please express your answer using 2 decimal places)
Below is some of the regression output from a regression of the gas mileage (expressed in miles per gallon) (MPG) an automobile gets versus the size of the car's engine (expressed in cubic liters) and the weight of the car (expressed in tons) Regression Statistics Multiple R 0.982 R Square Adjusted R Square Standard Error Observations 10 ANOVA df MS F Significance F Regression 574.7 287.4 96.3 8.0S847E-06 Residual 3.0 Total 595.6 Coefficients Standard Error t Stat P-value Lower 95% 21.86 0.000 0.054 Upper 95% 60.19 Intercept 52.2 2.48 48.44 Engine Size -3.8 1.77 0.09 Weight -17.5 3.05 0.003 -24.41 Based on the regression output, if we wanted to test the following hypothesis: H0: coefficient on Weight is GREATER THAN -14 H1: coefficient on Weight is LESS THAN -14 What is the critical value for this hypothesis test if we use a 5% level of significance? (please express your answer using 2 decimal places)
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 18T
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Question
Trying to figure Critical value.
Transcribed Image Text:Below is some of the regression output from a regression of the gas mileage (expressed in miles per gallon) (MPG) an
automobile gets versus the size of the car's engine (expressed in cubic liters) and the weight of the car (expressed in tons)
Regression Statistics
Multiple R
0.982
R Square
Adjusted R Square
Standard Error
Observations
10
ANOVA
df
MS
F
Significance F
Regression
574.7
287.4 96.3
8.08847E-06
Residual
3.0
Total
595.6
Coefficients Standard Error
t Stat P-value Lower 95%
Upper 95%
Intercept
52.2
2.48
21.86 0.000
48.44
60.19
Engine Size
-3.8
1.77
0.054
10.09
Weight
-17.5
3.05
0.003
-24.41
Based on the regression output, if we wanted to test the following hypothesis:
H0 : coefficient on Weight is GREATER THAN -14
H1: coefficient on Weight is LESS THAN -14
What is the critical value for this hypothesis test if we use a 5% level of significance? (please express your answer using 2
decimal places)
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