SCENARIO 13-14
An automotive engineer would like to be able to predict automobile mileages.She believes that the two most important characteristics that affect mileage are horsepower and the number of cylinders (4 or 6) of a car.She believes that the appropriate model is
Y = 40 - 0.05X1 + 20X2 - 0.1X1X2
where X1 = horsepower
X2 = 1 if 4 cylinders, 0 if 6 cylinders
Y = mileage.
-Referring to SCENARIO 13-14, the fitted model for predicting mileages for 6-cylinder cars is_.
A)40 - 0.05X1
B)40 - 0.10X1
C)60 - 0.10X1
D)60 - 0.15X1

Question

Quizplus · Accepted Answer

For 6-cylinder cars, X2 = 0. Substituting X2 = 0 into the model simplifies it to Y = 40 - 0.05X1, as terms involving X2 become zero.

SCENARIO 13-14 An Automotive Engineer Would Like to Be Able to Predict