Question

An engineer wants to determine how the weight of a​ car, x, affects gas​ mileage, y. The following data represent the weights of various cars and their miles per gallon. Car A B C D E Weight​ (pounds), x 2705 3065 3420 3695 4250 Miles per​ Gallon, y 27.7 22.3 21.7 18.5 16.1 ​(a) Find the​ least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable. Write the equation for the​ least-squares regression line. y=_x+_

Answer 1

Following table shows the calculations:

Now

Slope of the regression equation is

and intercept of the equation will be

So the regression equation will be

y'=45.763-0.007*x