A 25-2 design was used to investigate the effect of A = condensation temperature, B = amount of material 1, C = solvent volume, D = condensation time, and E = amount of material 2 on yield. The results obtained are as follows: e = 23.2 ad = 16.9 cd = 23.8 bde = 16.8 ab = 15.5 bc = 16.2 ace = 23.4 abcde = 18.1 (a) Generate the design and the data by hand using the given labels. (b) Verify that the design generators used were I = ACE and I = BDE. (c) Write down the complete defining relations and all the aliases for this design. (d) Estimate the main effects. (e) Prepare an analysis of variance table. Verify that the AB and AD interactions are available to use as error. (f) Plot the residuals versus the fitted values. Also construct a normal probability plot of the residuals. Comment on the results