Question: 9. The data shown in the Table below were collected in an experiment to optimize crystal growth as a function of three variables x1, x2,

9. The data shown in the Table below were

9. The data shown in the Table below were collected in an experiment to optimize crystal growth as a function of three variables x1, x2, and x3. Large values of y (yield in grams) are desirable. Fit a second-order model and analyze the fitted surface. Under what set of conditions is maximum growth achieved? X1 X2 X3 66 -1 -1 -1 -1 -1 1 -1 1 -1 70 78 60 -1 1 1 1 -1 -1 80 1 -1 1 70 1 1 -1 100 1 1 1 75 -1.682 O o 100 1.682 o 0 80 o -1.682 0 68 o 1.682 0 O O -1.682 o O 1.682 82 63 65 o o 0 113 100 0 O o o O o 118 0 o o 88 o 0 0 100 o o o 85

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