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 home and work for the employees. A sample of 10 employees was chosen, and the following data were 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

1. Develop a scatter diagram for these data. Does a linear relationship appear reasonable? Explain.
2. Develop the least squares estimated regression equation.
3. Is there a significant relationship between the two variables? Use α = .05.
4. Did the estimated regression equation provide a good fit? Explain.
5. 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.

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