.A researcher is interested in the effects of cutting speed (A), 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 2° factorial design are run. The results are as follows: Treotment Ronlioote

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2. A researcher is interested in the effects of cutting speed (A), 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 2° factorial design are run. The
results are as follows:
Treatment
Replicate
A
В
Combination
I
II
III
(1)
31
2
a
3
43
2
b
34
5
ab
5
47
4
4
45
3
ас
4
37
3
bc
50
5
abc
3
41
+
Write down a regression model for predicting tool life (in hours) based on the results of this experiment. Identify
significant factors that can affect the tool life of a machine tool.
FА, В, С, АВ, ВС, АС, АВС — 4.494
+
Transcribed Image Text:2. A researcher is interested in the effects of cutting speed (A), 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 2° factorial design are run. The results are as follows: Treatment Replicate A В Combination I II III (1) 31 2 a 3 43 2 b 34 5 ab 5 47 4 4 45 3 ас 4 37 3 bc 50 5 abc 3 41 + Write down a regression model for predicting tool life (in hours) based on the results of this experiment. Identify significant factors that can affect the tool life of a machine tool. FА, В, С, АВ, ВС, АС, АВС — 4.494 +
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