A mixture experiment was run in three components: x1, x2, and x3. (a) If the Sche e

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A mixture experiment was run in three components: x1, x2, and x3.

(a) If the Sche e model that best represented the data was y = 13:5x1 +

3:2x2 + 9:8x3, then what is the predicted response at the pure blend x2 = 1:0? What is the predicted response at the 50-50 blend of x1 and x2?

(b) If the Sche e model that best represented the data was y = 13:5X1 +

3:2x2 + 9:8x3 − 2:9x1x2 + 8:7X1x3 + 0:9x2x3, and the goal was to increase the response y, then does blending x1 and x2 have a synergistic e ect or an antagonistic e ect? Does blending x1 and x3 have a synergistic e ect or an antagonistic e ect? What is the predicted response at the mixture of equal proportions for all three components?

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Design And Analysis Of Experiments

ISBN: 9780471661597

6th International Edition

Authors: Douglas C. Montgomery

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