Question: Consider the table: (show all work) a) Construct a 2 5-2 fractional factorial model using the optimal generators, show your design matrix and selected observed

Consider the table:

(show all work)

a) Construct a 2^5-2fractional factorial model using the optimal generators, show your design matrix and selected observed values. Comment on the alias structure and any concerns about interpreting the results.

b) Calculate the Estimated Effects for each of the five main factors (not for the interaction effects) and identify those with the strongest effects.

c) Calculate the Sum of Squares values and complete the ANOVA table. Comment on all significant effects and identify important alias relationships.

$Consider the table:(show all work)a) Construct a 25-2fractional factorial model using the$

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