Question

Regression was performed on test data for 46 car models to examine the association between the...

Regression was performed on test data for 46 car models to examine the association between the weight​ (thousands of​ pounds) of the car and the fuel efficiency​ (miles per​ gallon).

Data provided:

Variable Coefficient SE(Coeff) t-ratio P-value
Intercept 34.1286 1 1.752 2.9 0.0058

Weight -5.49216 0.5354 -10.3 < or equal 0.0001

a) Create a 95% confidence interval for the slope of the regression line. The confidence interval is _____, ______

b) Explain in this context what your confidence interval means (choose an answer from the below options)

A. The true rate at which the fuel efficiency of a car changes in relation to its weight is between the endpoints of the confidence interval 95% of the time

B. It can be said with 95% confidence that, if a car is made lighter, its fuel efficiency will have changed by an amount contained in the interval

C. It can be said with 95% confidence that the interval contains the true rate at which the fuel efficiency of a car changes in relation to its weight.

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