Consider the experiment in Problem 11-12. Suppose that temperature is a noise variable ( 2 z = 1 in coded

Consider the experiment in Problem 11-12. Suppose that temperature is a noise variable (σ²_z = 1 in coded units). Fit response models for both responses. Is there a robust design problem with respect to both responses? Find a set of conditions that maximize conversion with activity between 55 and 60 and that minimize the variability transmitted from temperature.

Problem 11-12.

Consider the three-variable central composite design shown below. Analyze the data and draw conclusions, assuming that we wish to maximize conversion (y₁) with activity (y₂) between 55 and 60.

 

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Conversion Temperature (°C) Time (%) Activity Catalyst (%) Run (min) yı Y2 1 -1.000 -1.000 -1.000 74.00 53.20 2 1.000 -1.000 -1.000 51.00 62.90 3 -1.000 1.000 -1.000 88.00 53.40 4 1.000 1.000 -1.000 70.00 62.60 5 -1.000 -1.000 1.000 71.00 57.30 6 1.000 -1.000 1.000 90.00 67.90 -1.000 1.000 1.000 66.00 59.80 8 1.000 1.000 1.000 97.00 67.80 9 0.000 0.000 0.000 81.00 59.20 10 0.000 0.000 0.000 75.00 60.40 11 0.000 0.000 0.000 76.00 59.10 12 0.000 0.000 0.000 83.00 60.60 13 -1.682 0.000 0.000 76.00 59.10 14 1.682 0.000 0.000 79.00 65.90 15 0.000 -1.682 0.000 85.00 60.00 16 0.000 1.682 0.000 97.00 60.70 17 0.000 0.000 -1.682 55.00 57.40 18 0.000 0.000 1.682 81.00 63.20 19 0.000 0.000 0.000 80.00 60.80 20 0.000 0.000 0.000 91.00 58.90