Exercise: An engineer is interested in the effects of cutting speed A tool geometry and cutting angle on the life in hans) of a machine tool. Two levels of each factor are chosen and three replicates of a 2 factorial designate. The results are as follows: c Treatment Combination (1) + Replicate 1 III 23 31 25 32 29 35 34 50 55 47 16 44 15 3 40 57 60 50 3941 47 38 he whe Exercise: a) Estimate the factor effects. Which effects appear to be farge? (b) Use the analysis of variance to confirm your conclusions for part (a). (e) Write down a regression model for predicting tool life (in hours) based on the results of this experiment (d) Analyze the residuals. Are there any obvious problems! (e) On the basis of an analysis of main effect and interac- tion plots, what coded factor levels of AB, and would you recommend using