Consider the regression model fit to the grey range modulation data in Exercise 12-15.

Use the useful range as the response.

(a) Calculate 99% confidence intervals on each regression coefficient.

(b) Calculate a 99% confidence interval on mean useful range when and

(c) Calculate a prediction interval on useful range for the same values of the regressors used in the previous part.

(d) Calculate a 99% confidence interval and a 99% a prediction interval on useful range when and Compare the widths of these intervals to those calculated in parts

(b) and (c). Explain any differences in widths.