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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

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)

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