Rpm Cpratio Inlet-Temp Exh-Temp Airflow Heatrate 27245 9.2 1134 602 7 14622 14000 12.2 950 446 15 13196 17384 14.8 1149 537 20 11948 11085 11.8 1024 478 27 11289 14045 13.2 1149 553 29 11964 f f f f f f 18910 14.0 1066 532 8 12766 3600 35.0 1288 448 152 8714 3600 20.0 1160 456 84 9469 16000 10.6 1232 560 14 11948 14600 13.4 1077 536 20 12414 Based on Bhargava, R., and Meher-Homji, C. B. “Parametric analysis of existing gas turbines with inlet evaporative and overspray fogging.” Journal of Engineering for Gas Turbines and Power, Vol. 127, No. 1, Jan. 2005. Table from pp. 156–157.

a. Write a first-order model for heat rate (y) as a function of speed, inlet temperature, exhaust temperature, cycle pressure ratio, and air mass flow rate.

b. Use the method of least squares to fit the model to the data.

c. Give practical interpretations of the b estimates.

d. Find the standard deviation s of the model, and interpret its value.

e. Find R2a and interpret its value.

f. Is the overall model statistically useful in predicting heat rate (y)? Test, using a = .01.