In: Statistics and Probability
The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. For a random sample of 15 similar stores, she gathered the following information regarding the shelf space, in feet, devoted to pet food and the weekly sales in hundreds of dollars. .
|
Store |
Shelf Space |
Weekly Sales |
|
1 |
5 |
1.3 |
|
2 |
5 |
1.6 |
|
3 |
5 |
1.4 |
|
4 |
10 |
1.7 |
|
5 |
10 |
1.9 |
|
6 |
10 |
2.3 |
|
7 |
15 |
2.2 |
|
8 |
15 |
2 |
|
9 |
15 |
1.8 |
|
10 |
20 |
2.2 |
|
11 |
20 |
2.4 |
|
12 |
20 |
2.9 |
| 13 | 25 | 2.9 |
| 14 | 25 | 2.7 |
| 15 | 25 | 2.5 |
Find the 99% prediction interval for the Weekly Sales when the shelf space is 30. (round to 3 decimal places)
2.000 < y < 4.000
2.165 < y < 3.915
2.325 < y < 3.232
2.094 < y < 3.927