Part 2: Statistical Modeling and residual Analysis (20 points) Question three: Based on the Regression and Surface repor
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Part 2: Statistical Modeling and residual Analysis (20 points) Question three: Based on the Regression and Surface repor
Part 2: Statistical Modeling and residual Analysis (20 points) Question three: Based on the Regression and Surface reports as well as the Graphical Residual Analysis, answer the following questions The data shown in the following table were collected in an experiment to opti- mize crystal growth as a function of three variables x1, x2, and X3. Large val- ues of y (yield in grams) are desirable. 66 70 78 60 SD 70 100 75 TO NO 1 -1.682 1.682 o -1 1 1 0 O -1.682 1.02 O o 0 O -1.62 1.682 63 65 2 113 100 TIN OOOOOO COO 0 100 NS 1. What is the goal of the crystal company? (4 points) 2. What is the degree of the function which is best describes the data? Why? (8 points) 3. What is the mathematical formula of the suggested model? Can we use it for calibration? Explain why? (8 points)
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