Problem 10.7 Refer to the fuel efficiency data (Table 10.2).

(a) Draw the scatter plot for the regression Model(Y = gpm |X = disp).

(b) Calculate the least squares estimates βˆ0 and βˆ1 and draw the graph of the estimated regression line y = βˆ0 + βˆ1x. Use the same axes on which you graphed the scatter plot.

(c) Compute the sample correlation, coefficient of determination, and error sum of squares.

(d) Compute the predicted value and residual for x = 1.6, x = 4.6.

(e) Which of the two variables, weight or engine displacement, is a better predictor of fuel efficiency (gpm)? (Hint: Compare the coefficients of determination.)