The personnel director of a large hospital is interested in determining the relationship (if any) between an employee's age and the number of sick days the employed takes per year.The director randomly selects eight employees and records their age and the number of sick days which they took in the previous year.

Sick Days and Age
Employee	1	2	3	4	5	6	7	8
Age	30	50	40	55	30	28	60	25
Sick Days	7	4	3	2	9	10	0	8

Enter this information on your calculator and then answer the following:

1. Draw a scatterplot of the data. Describe the relationship you observe between the number of sick days and age.

1. Calculate the correlation coefficient, r?

1. Verify that the correlation coefficient between the number of sick days an employee takes per year and age is statistically significant. Test at the 0.05 level.

1. What proportion of the variation in the number of sick days an employer takes per year is explained by the age?

1. Determine the equation of the line of best fit.

1. Find the predicted value of the number of sick days an employee will take per year if the employee is 35 years old.

1. Predict the number of sick days per year for an employee who is 65 years old.

1. Use to model to predict the age of an employee who took 5 sick days in the previous year.