An engineer suspects that the surface finish of a metal part is influenced by the feed rate and the depth of cut. He selects three feed rates and four depths of cut. He then conducts a factorial experiment and obtains the following data. Feed Rate (in/min) Depth of Cut (in) 0.15 0.18 0.20 0.25 0.20 74 79 82 99 64 68 88 104 60 73 92 96 0.25 92 98 99 104 86 104 108 110 88 88 95 99 0.30 99 104 108 114 98 99 110 111 102 95 99 107 a) Analyze the data and draw conclusions. Use ? = 0.05. b) Prepare appropriate residuals plots and comment on the model's adequacy.
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Step 1
First, we need to create a table with the given data: | Feed Rate (in/min) | Depth of Cut (in) | Surface Finish | |--------------------|-------------------|----------------| | 0.15 | 0.18 | 74 | | 0.15 | 0.20 Show more…
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An engineer suspects that the surface finish of a metal part is influenced by the feed rate and the depth of cut. She selects three feed rates and four depths of cut. She then conducts a factorial experiment and obtains the following data: Feed Rate (in/min) | Depth of Cut (in) 0.15 | 0.18 | 0.20 | 0.25 0.20 | 74 (5), 64 (11), 60 (29) | 79 (20), 68 (22), 73 (36) | 82 (28), 88 (7), 92 (18) | 99 (13), 104 (6), 96 (24) 0.25 | 92 (33), 86 (2), 88 (16) | 98 (15), 104 (8), 88 (35) | 99 (32), 108 (23), 95 (3) | 104 (17), 110 (27), 99 (10) 0.30 | 99 (12), 98 (21), 102 (4) | 104 (34), 99 (1), 95 (19) | 108 (26), 110 (31), 99 (9) | 114 (14), 111 (25), 107 (30) a) Analyze the data and draw conclusions. Use α = 0.05. b) Draw the main effect and interactions plot. c) Check the adequacy of the model. Note that the number between parentheses is the order of the run within the 36 runs.
Sri K.
An engineer suspects that the surface finish of a metal part is influenced by the feed rate and the depth of cut. She selects three feed rates and four depths of cut. She then conducts a factorial experiment and obtains the following data: Depth of Cut (in) Feed Rate (in/min) 0.15 0.18 0.20 0.25 0.20 79 84 87 104 69 73 93 109 65 78 97 101 0.25 97 103 104 109 91 109 113 115 93 93 100 104 0.30 104 109 113 119 103 104 115 116 107 100 104 112 Analyze the data and draw conclusions. Use α = 0.05.
3. A mechanical engineer is studying the thrust force developed by a drill press. He suspects that the drilling speed and the feed rate of the material are the most important factors. He selects four feed rates and uses a high and low drill speed chosen to represent the extreme operating conditions. He obtains the following results. Analyze the data and draw conclusions. Feed Rate Drill Speed 0.015 0.030 0.045 0.060 125 2.70 2.45 2.60 2.75 2.78 2.49 2.72 2.86 200 2.83 2.85 2.86 2.94 2.86 2.80 2.87 2.88 a. What are you conclusions from the analysis? b. Generate residual plots (all that were discussed in class) and comment on the results. c. Apply Tukey's multiple comparison procedure to determine which feed rates are significantly different at a 0.05 significance level.
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