Problem 5 (20 points + 10 points) Analyze the data collected in the 23 design shown below. Run A -1 Design Factors B -1 -1 Response 8 1 (1) 2 b -1 1 -1 12 3 a 1 -1 -1 10 4 ab 1 1 -1 13 5 -1 -1 1 11 6 bc -1 1 1 12 7 ac 1 -1 1 9 8 abc 1 1 1 14 1) Please calculate all main effect, all 2-factor interaction effect, and all 3-factor interaction effects in details. 2) Please make a cube plot of the data. 3) Please use JMP to compute all main effect, all 2-factor interaction effect, and all 3- factor interaction effects in details. 4) (Bonus 10 points) Can you draw the 2-factor interaction plot of A and B manually? (Not using JMP)