In Myers and Montgomery (2002), an application was discussed in which an engineer is concerned with the effects on the cracking of a fit antum alloy. The three factors are A, temperature, B, titanium content, and C, amount of grain refiner. The following gives a portion of the design and the response, crack length induced in the sample of the alloy.(a) What is the defining relation?(b) Give aliases for all three main effects assuming that two factor interactions may be real,(c) Assuming that interactions are' negligible, which main Factor is most important?(d) For the factor named in (c), at what level would you suggest, the factor be for final production, high or low?(e) At what levels would you suggest the other factors be for final production?(f) What hazards lie in the recommendations you made' in (d) and (e)? Be thorough in youranswer.

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C Response 0.5269 2.3380 4.0060 3.3640