A scientist collects experimental data on the radius of a propellant grain, y, as a function of

Question:

A scientist collects experimental data on the radius of a propellant grain, y, as a function of powder temperature, extrusion rate, and die temperature. The three factor experiment is as follows, trials at the eight combinations of factors. It is felt as if extrusion rate does not interact, with die temperature and that the three-factor interaction should be negligible. Thus, these two interactions may be pooled to produce a 2 d.af. "Error" term(a) Do an analysis of variance that includes the three main effects and two two-factor interactions. Determine what effects influence radius of the propellant grain.(b) Construct interaction plots for the powder temperature by die temperature and powder temperature by extrusion rate interactions.(c) Comment on the consistency between the appearance of the interaction plots and the tests on the two interactions in theANOVA.