An exploratory analysis of the data indicated that the effect of the factor X4 (deposition time) on Y1 was significant, but its effect on Y2 was not. This suggests that we study both Model (Y1 | X4, X8, X4*X8) and Model (Y2 | X4, X8, X4*X8). (a) Rearrange the data for Model (Y1 | X4, X8, X4*X8) in the standard order; use the format. (b) Perform the analysis of variance and test for the existence of main effects and interactions. Use α = 0.05. (c) Consider the Model (Y2 | X4, X8, X4*X8). Rearrange the data for this model in the standard order; use the format. (d) Perform the analysis of variance and test for the existence of main effects and interactions. Use α = 0.05. (e) Combining the results from parts (b) and (d) is it reasonable to conclude that the effect of deposition time on epitaxial thickness is significant and that its effect on Y2 (process variance) is not? Justify your answer.
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