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 R Square 0.982 Adjusted R Square Standard Error Observations 10 ΑNOVA df MS F Significance F Regression 574.7 287.4 96.3 8.08847E-06 Residual 3.0 Total 595.6 t Stat P-value Lower 95% 21.86 0.000 0.054 0.003 Upper 95% 60.19 0.09 Coefficients Standard Error 48.44 Intercept Engine Size 54.4 2.48 -4.3 1.68 Weight -16.2 3.17 -24.41 Based on the regression output, if we wanted to test the following hypothesis: H0: coefficient on Weight is GREATER THAN -14.2 H1: coefficient on Weight is LESS THAN -14.2 What is the test statistic for this hypothesis test? (please express your answer using 2 decimal places)

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Trying to get test stat.

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
R Square
0.982
Adjusted R Square
Standard Error
Observations
10
ANOVA
df
MS
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
54.4
2.48
21.86 0.000
48.44
60.19
Engine Size
-4.3
1.68
0.054
0.09
Weight
-16.2
3.17
0.003
-24.41
Based on the regression output, if we wanted to test the following hypothesis:
H0 : coefficient on Weight is GREATER THAN -14.2
H 1: coefficient on Weight is LESS THAN -14.2
What is the test statistic for this hypothesis test? (please express your answer using 2 decimal places)
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 R Square 0.982 Adjusted R Square Standard Error Observations 10 ANOVA df MS 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 54.4 2.48 21.86 0.000 48.44 60.19 Engine Size -4.3 1.68 0.054 0.09 Weight -16.2 3.17 0.003 -24.41 Based on the regression output, if we wanted to test the following hypothesis: H0 : coefficient on Weight is GREATER THAN -14.2 H 1: coefficient on Weight is LESS THAN -14.2 What is the test statistic for this hypothesis test? (please express your answer using 2 decimal places)
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