Use R Programming or Design Expert

Consider an experiment in which a 2^5-1 design with I = ABCDE was used to investigate the effects of five factors on the color of a chemical product.

The factors are

• A: solvent/reactant ratio
• B: catalyst/reactant ratio
• C: temperature
• D: reactant purity
• E: reactant pH

The responses obtained were as follows:

a) Show the normal probability plot of the effects. Are there any significant effects?

b) Analyze the residuals. Are there any indications of model inadequacy or violation of the assumptions?

c) If any factors are negligible, collapse the 2^5-1 design into a full factorial in the active factors.

d) Show the normal probability plot of the effects in the reduced model. Briefly comment on any significant effects.