Use the regression model in part (c) of Problem 6-23 to generate a response surface contour plot

Question:

Use the regression model in part (c) of Problem 6-23 to generate a response surface contour plot of yield. Discuss the practical value of this response surface plot.


Problem 6-23

In a process development study on yield, four factors were studied, each at two levels: time (A), concentration (B), pressure (C), and temperature (D). A single replicate of a 24 design was run, and the resulting data are shown in the following table:

Actual Run Order Factor Levels Run Yield Number A B C D (lbs) Low (-) High (+) 1 5 12 A (h) 2.5 3 18 B (%) 14 18 C (psi) 60 D (C) 225 3 8 13 80 4 13 16 250 5 3 17 7 15 7 14


(c) Write down a regression model relating yield to the important process variables.

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