Question: A sociologist was hired by a large city hospital to investigate the relationship between the number of unauthorized days that employees are absent per year and the distance (miles) between hoMeand work for the employees. A sample of 10 employees were chosen and the following data was collected.

Distance to work (miles) Number of days absent

1 8

3 5

4 8

6 7

8 6

10 3

12 5

14 2

14 4

18 2

a. Develop a scatter diagram for this data. Does a linear relationship appear reasonable? Explain.

b. Develop the least squares estimated regression equation.

c. Is there a significant relationship between the two variables? Use a= .05.

d. Did the estimated regression equation provide a good fit? Explain.

e. Use the estimated regression equation developed in part b to develop a 95% confidence interval for the expected number of days absent for employees living 5 miles from the company.