Weight of Car: Miles per Gallon Do heavier cars really use more gasoline?

Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). The following information is based on data taken from Consumer Reports (Vol. 62, No. 4).

x 27 44 32 47 23 40 34 52 y 30 19 24 13 29 17 21 14 Complete parts

(a) through (e), given x 5 299, y 5 167, x2 5 11,887, y2 5 3773, xy 5 5814, and r < 0.946.

(f) Suppose a car weighs x 5 38 (hundred pounds). What does the leastsquares line forecast for y 5 miles per gallon?