A retail sales manager would like to determine whether the number of coupons in their newspaper advertisement (x) can be used to help predict sales of small appliances (y) in the following week. Data from past weeks are:

No. Coupons	Sales ($000)
4	5
6	7
9	8
3	4
2	5
6	7

1. Compute the coefficient of correlation and interpret it.
2. Compute the coefficient of determination and interpret it.
3. Develop the estimated regression equation/the least squares line that could be used to predict sales based on the number of coupons in the newspaper advertisement. Interpret the regression coefficient b.
4. Test to determine whether the coefficient of correlation in the population is positive. Use alpha 0.05. Show all the steps.