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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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