Consider the following data: Run A B C D E y 1 -1 -1 -1 1 -1 50 2 1 1 20 3 = 1 40 4 25 5 1 45 6 1 30 7 40 8 1 -1 30 (a) What is the generator for column D in the design? (b) What is the generator for column E in the design? (c) Find the full alias structure of this design and the resolution of the design (d) If this design was run in two blocks with the AB interaction confounded with blocks, the run d would be in the block where the sign on AB is - or +? Explain. (e) If this design is folded over what would be the resolution of the generated design (the combined design) (f) Estimate the main effects of this experiment. (g) Prepare an analysis of variance table with the best model you can find with no blocking. (Hint: proceed sequentially: 1. find main significant effects, 2. keep only those effects try to include their interactions).