?Consider the regression model fit to the gray range modulation data in Exercise
Chapter 12, Problem 12.4.7(choose chapter or problem)
Consider the regression model fit to the gray range modulation data in Exercise 12.1.11. 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 brightness = 70 and contrast = 80.
c. Calculate a prediction interval on useful range for the same values of the regressors used in part (b).
d. Calculate a 99% confidence interval and a 99% prediction interval on useful range when brightness = 50 and contrast = 25. Compare the widths of these intervals to those calculated in parts (b) and (c). Explain any differences in widths.
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