Question

Question 3. - Please do c, d and e

An engineer suspects that the surface finish of a metal part is influenced by the feed rate and the depth of cut of a particular manufacturing machine. An experiment is conducted and the data can be found in SurfaceFinish.jmp on eCampus.

a. State the two-way ANOVA model corresponding to this data. Be sure to define each term in your model and list any assumptions that are made.

b. Perform the test to determine if the model from part a) is significant.

c. Prepare a profile plot for the cell mean surface finish scores. Does it appear that any interaction effects are present? Explain.

d. Test whether or not interaction effects are present.

e. Given that low surface finish scores are desirable, which combination(s) of feed rate and depth of cut do you recommend?

Depth of Cut (in) = 0.15 0.15 0.15 0.18 0.18 0.18 0.2 0.2 0.2 0.25 0.25 0.25 0.15 0.15 0.15 0.18 0.18 0.18 0.2 0.2 0.2 0.25 0.25 0.25 0.15 0.15 0.15 0.18 0.18 0.18 0.2 0.2 0.2 0.25 0.25 0.25

Feed Rate (in/min) = 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.25 0.25 0.25 0.25 0.25 0.25 0.25 0.25 0.25 0.25 0.25 0.25 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3

Surface Finsih Score = 74 64 60 79 68 73 82 88 92 99 104 96 92 86 88 98 104 88 99 108 95 104 110 99 99 98 102 104 99 95 108 110 99 114 107 111

Depth of Cut (in)	Feed Rate (in/min)	Surface Finish Score
0.15	0.2	74
0.15	0.2	64
0.15	0.2	60
0.18	0.2	79
0.18	0.2	68
0.18	0.2	73
0.2	0.2	82
0.2	0.2	88
0.2	0.2	92
0.25	0.2	99
0.25	0.2	104
0.25	0.2	96
0.15	0.25	92
0.15	0.25	86
0.15	0.25	88
0.18	0.25	98
0.18	0.25	104
0.18	0.25	88
0.2	0.25	99
0.2	0.25	108
0.2	0.25	95
0.25	0.25	104
0.25	0.25	110
0.25	0.25	99
0.15	0.3	99
0.15	0.3	98
0.15	0.3	102
0.18	0.3	104
0.18	0.3	99
0.18	0.3	95
0.2	0.3	108
0.2	0.3	110
0.2	0.3	99
0.25	0.3	114
0.25	0.3	107
0.25	0.3	111

Answer 1