An unreplicated 251 fractional factorial experiment with four center points has been run in a chemical process.

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An unreplicated 25−1 fractional factorial experiment with four center points has been run in a chemical process.

The response variable is molecular weight. The experimenter has used the following factors:

Factor Natural Levels Coded Levels (x’s)

A - time 20, 40 (minutes) −1, 1 B - temperature 160, 180 (deg C) −1, 1 C - concentration 30, 60 (percent) −1, 1 D - stirring rate 100, 150 (RPM) −1, 1 E - catalyst type 1, 2 (Type) −1. 1 Suppose that the prediction equation that results from this experiment is ̂y = 10 + 3x1 + 2x2 − 1x1x2. What is the predicted response at A = 30, B = 165, C = 50, D = 135, and E = 1?

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