An experiment was conducted to investigate the effect of temperature (T) and pressure (P) on the yield

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An experiment was conducted to investigate the effect of temperature (T) and pressure (P) on the yield y of a chemical. Each of the two factors, temperature and pressure, was held constant at two levels—T at 50° and 70°, P at 10 pounds per square inch and 20 pounds per square inch—and the yield of each of the four combinations was measured. The results are shown in the accompanying table.


a. Fit the linear model 

E(y) = βo + β1x1 + β2x2 + β3x1x2

to the data.

b. Conduct a test of overall model adequacy. Use α = .01.

c. Is there evidence of interaction between temperature and pressure? Test using α = .01.    

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Statistics For Engineering And The Sciences

ISBN: 9781498728850

6th Edition

Authors: William M. Mendenhall, Terry L. Sincich

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