A researcher wants to know if there is a relationship between the number of shopping centers in a state and the retail sales (in billions $) of that state. A random sample of 8 states is listed below. After determining, via a scatter-plot, that the data followed a linear pattern, the regression line was found. Using the given data and the given regression output answer the following questions.

State Num Sales

1 630 15.5

2 370 7.5

3 616 13.9

4 700 18.7

5 430 8.2

6 558 13.2

7 1200 23.0

8 2976 87.3

1) use the 95% prediction interval to predict the sales for a state with 100 stores