Consider the Minitab analysis results of a -designed experiment with two replicates at the corner points and four replicates at a center point.

(a) Find all of the missing values for the t-tests and the F-tests in the two tables below. Indicate which effects are significant.

Use

(b) Is there significant curvature? Indicate the lines in the Minitab output that provide the necessary information.

(c) Write the least squares fitted model using only the significant terms.

(d) Use the model to predict the response when x2 1, x3 1.

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Term Coef SE Coef T P Constant 14.97 0.6252 23.95 0.000 A 9.93 0.6252 15.89 2 B -5.28 0.6252 -8.45 ? C 0.17 0.6252 ? 0.791 A*B -14.98 0.6252 ? A*C 0.27 0.6252 0.43 ? B*C 0.07 0.6252 ? ? A*B*C 0.34 0.6252 ? 0.597 Ct Pt -0.93 1.3980 -0.66 ? Analysis of Variance for Response Source DF Seq SS Adj MS F P Main Effects 3 2025.69 675.23 675.23 107.69 ? 2-Way Interactions 3 3592.66 1197.55 ? 0.000 3-Way Interactions 1 1.85 1.85 0.30 ? Curvature 1 2.74 2.74 0.44 ? Residual Error 11 68.80 6.25 Pure Error 11 68.80 6.25 Total 19 5691.74