Reconsider part (c) of Problem 6-1. Use the regression model to generate response surface and contour plots

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Reconsider part (c) of Problem 6-1. Use the regression model to generate response surface and contour plots of the tool life response. Interpret these plots. Do they provide insight regarding the desirable operating conditions for this process?


Problem 6-1.

An engineer is interested in the effects of cutting speed (A), tool geometry (B), and cutting angle (C) on the life (in hours) of a machine tool. Two levels of each factor are chosen, and three replicates of a 23 factorial design are run. The results follow: 

 Replicate Treatment A B C Combination I II III (1) 22 31 25 a 32 43 29 35 34 50 + ab 55 47 46 44 45 38 ac 40 37 36 bc 60 50 54 + abc 39 41 47 UIII I + + + + ||| + +


(c) Write down a regression model for predicting tool life (in hours) based on the results of this experiment.

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