Problem 11.10 Refer to Example 11.6 and the associated data set Table 11.1.

(a) Fit the quadratic polynomial Model (Y = MPG | X1 = speed, X2 = speed2) and state the estimated regression function.

(b) Draw the scatter plot and the graph of the fitted polynomial on the same coordinate axes.

(c) Compute the fitted value, 95% confidence interval and prediction interval for x 0 = (1, 35, 1225).