A sample of small cars was selected, and the values of x = horsepower and y = fuel efficiency (mpg) were determined for each car. Fitting the simple linear regression model gave the estimated regression equation y^ = 44.0 2 .150x.
a. How would you interpret b = 2.150?
b. Substituting x = 100 gives y^ = 29.0. Give two different interpretations of this number.
c. What happens if you predict efficiency for a car with a 300-horsepower engine? Why do you think this has occurred?
d. Interpret r2 = 0.680 in the context of this problem.
e. Interpret se = 3.0 in the context of this problem.