The following data were collected by a chemical engineer. The response y is filtration time, x 1

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The following data were collected by a chemical engineer. The response y is filtration time, x1 is temperature, and x2 is pressure. Fit a second-order model. 

 X1 X2 y -1 -1 54 -1 1 45 1 -1 32 1 1 47 -1.414 50 1.414 53 -1.414 47 1.414 51 41 39 44 42 40


(a) What operating conditions would you recommend if the objective is to minimize the filtration time?

(b) What operating conditions would you recommend if the objective is to operate the process at a mean filtration rate very close to 46?

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