Estimate the labor costs

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Question - Palisades Eco-Park is a small ecological reserve that admits a relatively small number of visitors on any day, but provides both educational and entertaining lectures, exhibitions, and opportunities to observe nature. The company has collected the following data on labor costs and number of visitors to the park over the last 30 months.

Month

Labor Cost

Visitors

1

$25,320

1,200

2

$35,588

1,830

3

$39,194

1,984

4

$31,035

1,568

5

$34,135

1,675

6

$32,040

1,540

7

$31,403

1,556

8

$37,592

1,889

9

$37,821

1,949

10

$46,024

2,521

11

$41,341

2,101

12

$38,274

1,979

13

$33,777

1,705

14

$32,531

1,649

15

$36,255

1,770

16

$25,987

1,482

17

$30,069

2,398

18

$29,380

1,966

19

$27,056

1,703

20

$29,422

2,098

21

$25,195

1,411

22

$24,178

1,267

23

$28,332

2,306

24

$29,569

2,695

25

$27,575

1,830

26

$31,076

2,311

27

$28,096

2,110

28

$29,347

2,153

29

$27,887

1,773

30

$27,335

1,465

Required -

a. Estimate the labor costs assuming 2,000 visitors for the month using the results of a simple regression based on the 30 months of available data.

b. What percentage of the variance in the data does the R-squared value explain?

c. You learn that starting in month 16, the park started using a different, more automated system for interacting with visitors. Estimate the labor cost assuming 2,000 visitors using the results of a simple regression based on the data for months 16 through 30 only.

d. What percentage of the variance in the data does the R-squared value explain?

Reference no: EM132805903

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