E. I plan to run a central composite design in 5 variables, and I want to save experimental effort. I am considering running a 2^5-1 for the factorial part of the design, instead of a full factorial. What is your advice for me about this? That is, does it make sense to you or not? Assume that I plan to fit a full quadratic model with all main effects, all two-factor interactions, and all quadratic terms. Justify your answer.

F. Suppose I run the 2^5-1 mentioned in question e for the factorial part of the design. Assuming I run the rest of the central composite design using the standard approach, including 4 center points, how many points would be in my final design? Explain your answer.

Solve only part F.