A manufacturer of exercise bicycles is studying the relationship between the number of months an exercise bicycle has been owned and the length of time it was used last week. Data for a random sample of 7 owners are provided in the table below

Months Owned

Hours Used Last Week

14

6

8

8

5

7

3

9

10

6

4

8

12

7

10 markse.Can it be concluded that the slope of the regression line is negative? Formulate and test the appropriate hypotheses at the 5% significance level. Use the critical value approach.

4 marksf.Construct a 95% confidence interval for B.

2 marksg.Interpret the numerical value of b in the sample regression line. What does it mean in the context of this question?

2 marksh.Use the equation of the regression line to predict hours used last week if an exercise bicycle has been owned for 11 months.

Note: Express your answer to 2 decimal places of accuracy.