?

Free Version

Upgrade subject to access all content

Difficult

MPG and Horsepower

APSTAT-1YWEYK

A consumer advocate wants to determine the relationship between cars’ miles per gallon (mpg) and horsepower.

A sample of $15$ car models from the current year was selected. The regression analysis of the data resulted in the following output:

Coefficients Standard Error t-Stat P-Value
Intercept 36.93884096 2.139220436 17.26743 2.4035E-10
Horsepower -0.051610508 0.009635294 -5.3564 0.00013055

Based on this information, which of the following statements is true?

A

The slope for this line is $36.9388$.

B

The residual plot shows a pattern; therefore, this appears to be a reasonable model for describing horsepower and mpg.

C

As horsepower increases by $1$ unit, mpg decreases by $5.3564$.

D

As horsepower increases by $1$ unit, mpg decreases by $0.0516$.

E

The P-value indicates no relationship between horsepower and mpg.