Question
Assume the following data (where the xxx is the last three digits of your panther id): Last three digits of Panther ID to use in
Assume the following data (where the xxx is the last three digits of your panther id):
Last three digits of Panther ID to use in the question: 921
Month | Machine Hours (hrs.) | Maintenance Costs ($) |
1 | 1,240 | 100,xxx |
2 | 1,400 | 107,xxx |
3 | 1,230 | 102,xxx |
4 | 1,470 | 108,xxx |
5 | 1,620 | 116,xxx |
6 | 1,660 | 115,xxx |
7 | 1,490 | 107,xxx |
8 | 1,280 | 101,xxx |
9 | 1,460 | 106,xxx |
10 | 1,580 | 113,xxx |
11 | 1,300 | 100,xxx |
12 | 1,600 | 113,xxx |
13 | 1,650 | 113,xxx |
14 | 1,440 | 109,xxx |
15 | 1,350 | 102,xxx |
16 | 1,670 | 116,xxx |
17 | 1,480 | 106,xxx |
18 | 1,360 | 103,xxx |
19 | 1,340 | 103,xxx |
20 | 1,540 | 112,xxx |
21 | 1,320 | 102,xxx |
22 | 1,410 | 104,xxx |
23 | 1,220 | 101,xxx |
For example, if your panther id is 1234567, then your maintenance costs would be $103,567 in month 1; $107,567 is month 2; $113,567 in months 10, 12, and 13.
Assume that the following relationship holds:
Maintenance Costs = a + (b * Machine Hours)
REQUIRED
Estimate the values of a and b, using,
1. the High-Low Method, and
2. the Linear Regression method
Note, to use the linear regression method, you MUST use the Microsoft Excel program.
Make sure to report
i) the values of a and b
ii) a scatter plot of the data points, and
iii) the R-square or the adjusted R-square
3. Which of the above two methods is more appropriate? Why? (3 sentences maximum)
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