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?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.5: Using The Distributive Property
Problem 58PFA
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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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