8.43. An unreplicated 24!1 fractional factorial experiment has been run. The experimenter has used the following factors:

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Factor Natural levels Coded levels (x's) A 20,50 -1,1 B 200, 280 -1,1 C 50, 100 -1,1 D 150, 200 -1, 1 (a) Suppose that this design has four center runs that average 100. The average of the 16 factorial design points is 95. What is the sum of squares for pure quad- ratic curvature? (b) Suppose that the prediction equation that results from this experiment is = 100+ -2x, + 10x - 4xx What is the predicted response at A = 41, B = 280, C 60, and D = 185?