A sociologist was appointed by large city hospital to investigate the relationship between the number of unauthorized days thatemployees are absent per year and the distance (miles) between homeand work for the employees. A sample of 10 employees was chosen,and the following data were collected.
Distance to Work 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 these data. Does a linear relastionship appear reasonable? Explain
b. Develop the least squares estimated regression equation.
c. Is there a significance relationship between the two variables? Use a=0.05.
d. Did the estimate regression equation provide a good fit? Explain.
e. Use the estimated regreeesion 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.