Below is some of the regression output from a regression of the gas mileage (expressed in miles per gallon) (MPG) an automobile gets ve

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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

SS

MS

F

Significance F

 

Regression

 

574.7

287.4

96.3

8.08847E-06

 

Residual

 

 

3.0

 

 

 

Total

9

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

-5

1.79

 

0.054

 

0.09

Weight

-16.8

3.18

 

0.003

-24.41

 

 

 
Based on the regression output, if we wanted to test the following hypothesis:
0 : coefficient on Weight is GREATER THAN -14.5
1 : coefficient on Weight is LESS THAN -14.5

 
What is the test statistic for this hypothesis test? (please express your answer using 2 decimal places)

     
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