HW Problem #2: An experiment was performed to improve the yield of a chemical process. Four factors were selected, and two replicates of a completely randomized experiment were run. The results are shown in the following table: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 A -1 -1 1 1 -1 -1 1 1 -1 -1 1 1 -1 -1 1 1 -1 -1 1 1 -1 -1 1 1 -1 -1 1 1 -1 -1 1 1 B -1 -1 -1 -1 1 1 1 1 -1 -1 -1 -1 1 1 1 1 -1 -1 -1 -1 1 1 1 1 -1 -1 -1 -1 1 1 1 1 C -1 -1 -1 -1 -1 -1 -1 -1 1 1 1 1 1 1 1 1 -1 -1 -1 -1 -1 -1 -1 -1 1 1 1 1 1 1 1 1 D -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Yield 90 93 74 78 81 85 83 80 77 78 81 80 88 82 73 70 98 95 72 76 87 83 85 86 99 90 79 75 87 84 80 80 a) Prepare an analysis of variance table and determine which factors are important in explaining yield. 1. 2. 3. 4. Factor A is significant - True or False Factor B is significant - True or False Factor C is significant - True or False Factor D is significant - True or False b) What is the P-value in the ANOVA table? 1. 2. 3. 4. Factor A: Factor B: Factor C: Factor D: c. Develop a regression model for predicting yield # 1. 2. 3. 4. 5. Factor A B C D Constant Regression Coefficient d. Plot the residuals on a normal probability scale. Does the residual analysis appear satisfactory (Normal Distribution)? Is the residual Normal: Yes or No e. Provide the factorial and interaction plots. Where would you recommend that the process be run with respect to the four variables? # 1. 2. 3. 4. Factor A B C D Level High or Low or Doesn't matter High or Low or Doesn't matter High or Low or Doesn't matter High or Low or Doesn't matter