1. 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...

Cautions: DO NOT use a regression analysis calculator. You can use a calculator for step by step analysis like calculating means, sum of the deviations of squares, e.g. but you are not allowed to use a whole regression analysis calculator.

Extracted text: 1. 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. Employee Distance to Number of Days Absent Work 1 2 7 2 5 5 7 8. 4 6. 7 5 8. 7 3 7 13 8 14 2 9 14 4 10 18 2 a) Develop a scatter diagram for these 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 = 0.05 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 7 miles from the company.