Assignment_Solution_Chp_11

# Assignment_Solution_Chp_11 - [Chapter 11 Solutions 11.8 The...

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[Chapter 11 – Solutions 11.8 The data shown in Table P11.2 were collected in an experiment to optimize crystal growth as a function of three variables x 1 , x 2 , and x 3 . 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? Table P11.2 x 1 x 2 x 3 y -1 -1 -1 66 -1 -1 1 70 -1 1 -1 78 -1 1 1 60 1 -1 -1 80 1 -1 1 70 1 1 -1 100 1 1 1 75 -1.682 0 0 100 1.682 0 0 80 0 -1.682 0 68 0 1.682 0 63 0 0 -1.682 65 0 0 1.682 82 0 0 0 113 0 0 0 100 0 0 0 118 0 0 0 88 0 0 0 100 0 0 0 85 Response: Yield ANOVA for Response Surface Quadratic Model Analysis of variance table [Partial sum of squares] Sum of Mean F Source Squares DF Square Value Prob > F Model 3662.00 9 406.89 2.19 0.1194 not significant A 22.08 1 22.08 0.12 0.7377 B 25.31 1 25.31 0.14 0.7200 C 30.50 1 30.50 0.16 0.6941 A 2 204.55 1 204.55 1.10 0.3191 B 2 2226.45 1 2226.45 11.96 0.0061 C 2 1328.46 1 1328.46 7.14 0.0234 AB 66.12 1

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## This note was uploaded on 01/16/2011 for the course STAT 430 taught by Professor Stefansteiner during the Fall '03 term at Waterloo.

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Assignment_Solution_Chp_11 - [Chapter 11 Solutions 11.8 The...

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