Assignment_Solution_Chp_11

# 94 chance that a model f value this large could occur

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11.94 % chance that a "Model F-value" this large could occur due to noise. Std. Dev. 13.64 R-Squared 0.6631 Mean 83.05 Adj R-Squared 0.3598 C.V. 16.43 Pred R-Squared -0.6034 PRESS 8855.23 Adeq Precision 3.882 Coefficient Standard 95% CI 95% CI

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Factor Estimate DF Error Low High VIF Intercept 100.67 1 5.56 88.27 113.06 A-x1 1.27 1 3.69 -6.95 9.50 1.00 B-x2 1.36 1 3.69 -6.86 9.59 1.00 C-x3 -1.49 1 3.69 -9.72 6.73 1.00 A 2 -3.77 1 3.59 -11.77 4.24 1.02 B 2 -12.43 1 3.59 -20.44 -4.42 1.02 C 2 -9.60 1 3.59 -17.61 -1.59 1.02 AB 2.87 1 4.82 -7.87 13.62 1.00 AC -2.63 1 4.82 -13.37 8.12 1.00 BC -4.63 1 4.82 -15.37 6.12 1.00 There are so many non-significant terms in this model that we should consider eliminating some of them. A reasonable reduced model is shown below. Response: Yield ANOVA for Response Surface Reduced Quadratic Model Analysis of variance table [Partial sum of squares] Sum of Mean F Source Squares DF Square Value Prob > F Model 3143.00 4 785.75 4.95 0.0095 significant B 25.31 1 25.31 0.16 0.6952 C 30.50 1 30.50 0.19 0.6673 B2 2115.31 1 2115.31 13.33 0.0024 C2 1239.17 1 1239.17 7.81 0.0136 Residual 2379.95 15 158.66 Lack of Fit 1520.62 10 152.06 0.88 0.5953 not significant Pure Error 859.33 5 171.87 Cor Total 5522.95 19 Coefficient Standard 95% CI 95% CI Factor Estimate DF Error Low High VIF Intercept 97.58 1 4.36 88.29 106.88 B-x2 1.36 1 3.41 -5.90 8.63 1.00 C-x3 -1.49 1 3.41 -8.76 5.77 1.00 B2 -12.06 1 3.30 -19.09 -5.02 1.01 C2 -9.23 1 3.30 -16.26 -2.19 1.01 Final Equation in Terms of Coded Factors: Yield = +97.58 +1.36 * B -1.49 * C -12.06 * B 2 -9.23 * C 2 Final Equation in Terms of Actual Factors: Yield = +97.58260 +1.36130 * x2 -1.49445 * x3 -12.05546 * x2 2 -9.22703 * x3 2 The contour plot identifies a maximum near the center of the design space.
DESIGN-EXPERT Plot Yield X = B: x2 Y = C: x3 Design Points Actual Factor A: x1 = 0.00 Yield B: x2 C: x3 -1.00 -0.50 0.00 0.50 1.00 -1.00 -0.50 0.00 0.50 1.00 80 80 80 85 85 85 90 95 6 Prediction97.682 95% Low 69.273 95% High126.090 SE mean 4.35584 SE pred 13.3281 X 0.06 Y -0.08
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• Spring '03
• StefanSteiner
• ab ac bc, Source Squares DF, Squares DF Square, DF Square Model, Quadratic Model Analysis

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