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,
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 | $ | 26,720 | 2,600 |
2 | $ | 37,555 | 3,964 |
3 | $ | 41,361 | 4,299 |
4 | $ | 32,751 | 3,398 |
5 | $ | 36,022 | 3,630 |
6 | $ | 33,811 | 3,336 |
7 | $ | 33,139 | 3,372 |
8 | $ | 39,671 | 4,093 |
9 | $ | 39,912 | 4,222 |
10 | $ | 48,568 | 5,463 |
11 | $ | 43,627 | 4,551 |
12 | $ | 40,390 | 4,289 |
13 | $ | 35,644 | 3,694 |
14 | $ | 34,330 | 3,573 |
15 | $ | 38,260 | 3,836 |
16 | $ | 27,424 | 3,210 |
17 | $ | 31,732 | 5,195 |
18 | $ | 31,005 | 4,260 |
19 | $ | 28,552 | 3,689 |
20 | $ | 31,049 | 4,546 |
21 | $ | 26,588 | 3,058 |
22 | $ | 25,515 | 2,744 |
23 | $ | 29,899 | 4,997 |
24 | $ | 31,204 | 5,838 |
25 | $ | 29,099 | 3,964 |
26 | $ | 32,795 | 5,007 |
27 | $ | 29,650 | 4,572 |
28 | $ | 30,970 | 4,665 |
29 | $ | 29,429 | 3,841 |
30 | $ | 28,846 | 3,174 |
Required:
a. Estimate the labor costs assuming 3,400 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 3,400 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?
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