An automotive engineer wanted to explain and predict the miles per gallon during city driving, y, for a variety of vehicles, using these explanatory variables: c, the number of cylinders; y, the interior passenger volume; and w, the weight of the vehicle.
a. Write a first- order multiple regression model relating y to c, y, and w.
b. Write a second- order multiple regression model relating y to c, y, w; the squares of c, v, w; and their cross- products.