Recall that you fit a first-order model for heat rate (y) as a function of speed (x1),

Question:

Recall that you fit a first-order model for heat rate (y) as a function of speed (x1), inlet temperature (x2), exhaust temperature (x3), cycle pressure ratio (x4), and airflow rate (x5). A Minitab printout with both a 95% confidence interval for E(y) and prediction interval for y for selected values of the x's is shown below.
a. Interpret the 95% prediction interval for y in the words of the problem.
b. Interpret the 95% confidence interval for E(y) in the words of the problem.
c. Will the confidence interval for E(y) always be narrower than the prediction interval for y? Explain.

For Information: Refer to the Journal of Engineering for Gas Turbines and Power (Jan. 2005) study of a high-pressure inlet fogging method for a gas turbine m engine, Exercise 12.19.