Management Science
Management Science
- SOUTHERN HORIZON AGRICULTURE SUPPLY (SHAS)
The sales manager of SHAS intends to use sales of farm fertilizer to predict sales of farm tractor. He estimated a probable six-week lag between fertilizer sales and tractor sales. The pertinent data are:
| Period | Fertilizer Sales (tons) | Number of tractor sold
(six-week lag) |
| 1 | 1.6 | 10 |
| 2 | 1.3 | 8 |
| 3 | 1.8 | 11 |
| 4 | 2.0 | 12 |
| 5 | 2.2 | 12 |
| 6 | 1.6 | 9 |
| 7 | 1.5 | 8 |
| 8 | 1.3 | 7 |
| 9 | 1.7 | 10 |
| 10 | 1.2 | 6 |
| 11 | 1.9 | 11 |
| 12 | 1.4 | 8 |
| 13 | 1.7 | 10 |
| 14 | 1.6 | 9 |
- Determine the correlation between the two variables. Does it appear that the relationship between these variables will yield good predictions? Explain.
- Obtain a linear regression line for the data.
- Predict expected tractor sales on the 15thperiod given fertilizer sales six weeks earlier of 2.5 tons.
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