* Data in CSV format is same as given in the table. Table is complete (It's not cut off).

In this problem we are trying the minimize the shrinkage of a part in a die casting operation. The key control inputs are hold time, die temperature, and casting pressure. The experimental design and data is shown below (and downloadable in csv format here): Temperature Pressure Shrin Hold Time Run X1 X2 y 1 -1 51 -1 99 2 -1 -1 1 95 27 3 -1 1 F1 -1 11 1 105 1 -1 -1 25 11 11 95 11 1 1 65 11 11 1 90 19 -1.682 0 0 65 1.682 0 85 97 -1.682 0 110 11 12 13 D 1.682 0 102 100 0 0 -1.682 14 0 1.682 83 15 0 0 0 61 16 D 65 0 0 12 57 0 0 0 74 18 19 120 O 0 0 65 0 0 O 71 2.1 What is the basic design for this experiment? Face Centered Edge Centered Central Composite Box Behnken 2.2 Fit a quadratic model to this experiment that includes all linear and quadratic terms, but no interaction terms. What are the regression coefficients? Bo= B1 = B2 = 133 = Bu = B22 = B33 = 2.3 Find the operating point that minimizes shrinkage and the corresponding "optimal shrinkage" value x1 = 22 = 23 = Yopt = 2.4 Using just the replicates in the data, what is the estimate of the underlying variance of this process? $2 In this problem we are trying the minimize the shrinkage of a part in a die casting operation. The key control inputs are hold time, die temperature, and casting pressure. The experimental design and data is shown below (and downloadable in csv format here): Temperature Pressure Shrin Hold Time Run X1 X2 y 1 -1 51 -1 99 2 -1 -1 1 95 27 3 -1 1 F1 -1 11 1 105 1 -1 -1 25 11 11 95 11 1 1 65 11 11 1 90 19 -1.682 0 0 65 1.682 0 85 97 -1.682 0 110 11 12 13 D 1.682 0 102 100 0 0 -1.682 14 0 1.682 83 15 0 0 0 61 16 D 65 0 0 12 57 0 0 0 74 18 19 120 O 0 0 65 0 0 O 71 2.1 What is the basic design for this experiment? Face Centered Edge Centered Central Composite Box Behnken 2.2 Fit a quadratic model to this experiment that includes all linear and quadratic terms, but no interaction terms. What are the regression coefficients? Bo= B1 = B2 = 133 = Bu = B22 = B33 = 2.3 Find the operating point that minimizes shrinkage and the corresponding "optimal shrinkage" value x1 = 22 = 23 = Yopt = 2.4 Using just the replicates in the data, what is the estimate of the underlying variance of this process? $2