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6.5. An engineer is interested in the effects of cutting speed (4), tool geometry (B), and cutting angle on the life (in hours) of a machine tool. Two levels of each factor are chosen, and three replicates of a 2³ factorial design are run. The results are as follows: (b) (c) (d) (e) B с Treatment Combination (1) b ab ac be abc I 22 32 35 55 44 40 60 39 Replicate II 31 43 34 47 45 37 50 41 III 25 9 50 46 38 3647 29 54 Estimate the factor effects. Which effects appear to be large? Use the analysis of variance to confirm your conclusions for part (a). Write down a regression model for predicting tool life (in hours) based on the results of this experiment. Analyze the residuals. Are there any obvious problems? Based on the analysis of main effects and interaction plots, what levels of A, B, and C would you recommend using?

6.5. An engineer is interested in the effects of cutting speed (4), tool geometry (B), and cutting angle on the life (in hours) of a machine tool. Two levels of each factor are chosen, and three replicates of a 2³ factorial design are run. The results are as follows: (b) (c) (d) (e) B с Treatment Combination (1) b ab ac be abc I 22 32 35 55 44 40 60 39 Replicate II 31 43 34 47 45 37 50 41 III 25 9 50 46 38 3647 29 54 Estimate the factor effects. Which effects appear to be large? Use the analysis of variance to confirm your conclusions for part (a). Write down a regression model for predicting tool life (in hours) based on the results of this experiment. Analyze the residuals. Are there any obvious problems? Based on the analysis of main effects and interaction plots, what levels of A, B, and C would you recommend using?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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6.5. An engineer is interested in the effects of cutting speed (4), tool geometry (B), and cutting angle on the life (in hours) of a machine tool. Two levels of each factor are chosen, and three replicates of a 2³ factorial design are run. The results are as follows: (b) (c) (d) (e) B с Treatment Combination (1) b ab ac be abc I 22 32 35 55 44 40 60 39 Replicate II 31 43 34 47 45 37 50 41 III 25 9 50 46 38 3647 29 54 Estimate the factor effects. Which effects appear to be large? Use the analysis of variance to confirm your conclusions for part (a). Write down a regression model for predicting tool life (in hours) based on the results of this experiment. Analyze the residuals. Are there any obvious problems? Based on the analysis of main effects and interaction plots, what levels of A, B, and C would you recommend using?
Transcribed Image Text:6.5. An engineer is interested in the effects of cutting speed (4), tool geometry (B), and cutting angle on the life (in hours) of a machine tool. Two levels of each factor are chosen, and three replicates of a 2³ factorial design are run. The results are as follows: (b) (c) (d) (e) B с Treatment Combination (1) b ab ac be abc I 22 32 35 55 44 40 60 39 Replicate II 31 43 34 47 45 37 50 41 III 25 9 50 46 38 3647 29 54 Estimate the factor effects. Which effects appear to be large? Use the analysis of variance to confirm your conclusions for part (a). Write down a regression model for predicting tool life (in hours) based on the results of this experiment. Analyze the residuals. Are there any obvious problems? Based on the analysis of main effects and interaction plots, what levels of A, B, and C would you recommend using?
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