An experimenter has run a Box-Behnken design and has obtained the results below, where the response variable

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An experimenter has run a Box-Behnken design and has obtained the results below, where the response variable is the viscosity of a polymer:

 Agitation Rate Level Temp. Pressure X2 X3 High 200 10.0 25 +1 +1 +1 Middle 175 7.5 20 Low 150 5.0 15 -1 -1 -1


(a) Fit the second-order model.

(b) Perform the canonical analysis. What type of surface has been found? 

(c) What operating conditions on x1, x2, and x3 lead to the stationary point?

(d) What operating conditions would you recommend if it is important to obtain a viscosity that is as close to 600 as possible?

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