Consider the analysis of a designed experiment with 3 replicates. Use the following partially complete Minitab output to answer the following questions.

(a) Find all of the missing values in the analysis of variance table.

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(b) Use this table to test for significance of the effects. Use

(c) Compute the estimated standard error of each effect.

(d) Find all of the missing values in the t-tests of the following effects table. Indicate which effects are significant.
Use

(e) Write the least squares fitted model using only the significant terms.
(f ) Use the model to predict the response when and x2 1.

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Source DF SS MS F P A 1 7.84083 7.84083 348.48 ? B 1 0.80083 2 35.59 ? Interaction 1 1.14083 1.14083 ? 0.000 Residual Error 8 0.18000 0.02250 Total 11 9.96250 Term Effect Coef SE Coef T P Constant 7.9750 0.04330 184.17 0.000 A 1.6167 0.8083 ? 18.67 ? B 0.5167 ? 0.04330 ? 0.000 A*B -0.6167 -0.3083 ? -7.12 ?