A client from the Department of Mechanical Engineering

Chapter 12, Problem 12.54

(choose chapter or problem)

A client from the Department of Mechanical Engineering approached the Consulting Center at Virginia Tech for help in analyzing an experiment dealing with gas turbine engines. The voltage output of engines was measured at various combinations of blade speed and sensor extension. y Speed, x1 Extension, (volts) (in./sec) x2 (in.) 1.95 6336 0.000 2.50 7099 0.000 2.93 8026 0.000 1.69 6230 0.000 1.23 5369 0.000 3.13 8343 0.000 1.55 6522 0.006 1.94 7310 0.006 2.18 7974 0.006 2.70 8501 0.006 1.32 6646 0.012 1.60 7384 0.012 1.89 8000 0.012 2.15 8545 0.012 1.09 6755 0.018 1.26 7362 0.018 1.57 7934 0.018 1.92 8554 0.018(a) Fit a multiple linear regression to the data. (b) Compute t-tests on coecients. Give P-values. (c) Comment on the quality of the tted model.

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