The data shown in the following table were collected in an experiment to optimize crystal growth as

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The data shown in the following table 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 y -1 1 -1 66 1 70 1 -1 78 1 1 60 1 -1 80 1 1 70 1 1 -1 100 1 1 1 75 -1.682 100 1.682 80 -1.682 68 1.682 63 -1.682 65 1.682 82 113 100 118 88 100 85

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