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2. (2.5 points) A manufacturer would like to examine the surface finish of a metal part influenced by the feed rate and the depth of cut. He selects three feed rates and four depths of cut. She then conducts a factorial experiment and obtains the following data: Feed Rate (in/min) 0.25 0.17 74 64 60 92 86 88 99 98 102 Depth of Cut (in) 0.19 0.23 79 82 68 88 73 92 98 99 104 108 88 95 104 108 99 110 95 99 0.27 99 104 96 104 110 99 114 111 107 0.31 0.36 (a) Analyze the data and draw conclusions. Use a=0.05. Show your ANOVA table, (b) Prepare and show appropriate residual plots and comment on the model's adequacy.