Lovely Lawns, Inc., intends to use sales of lawn fertilizer to predict lawn mower sales. The store manager estimates a probable six-week lag between fertilizer sales and mower sales. The pertinent data are:

| Period | Fertilizer Sales (tons) | Number of Mowers Sold |
|--------|-------------------------|-----------------------|
| 1 | 1.6 | 12.0 |
| 2 | 1.3 | 10.0 |
| 3 | 1.8 | 13.0 |
| 4 | 2.0 | 15.0 |
| 5 | 2.2 | 15.0 |
| 6 | 1.5 | 11.0 |
| 7 | 1.6 | 12.0 |
| 8 | 1.4 | 10.0 |
| 9 | 1.8 | 13.0 |
| 10 | 1.4 | 10.0 |
| 11 | 1.9 | 15.0 |
| 12 | 1.4 | 11.0 |
| 13 | 1.7 | 14.0 |
| 14 | 1.4 | 13.0 |

a. Determine the correlation between the two variables. Does it appear that a relationship between these variables will yield reasonable predictions? Explain.

b. Obtain a linear regression line for the data.

c. Predict expected lawn mower sales for the first week in August, given fertilizer sales six weeks earlier of 2 tons.