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 date were collected. Distance to Work (miles) Number of Days Absent 8 A 6 8 10 12 14 14 18 a) Develop the least square estimated regression equation. b) Is there a significant relationship between the two variables? Using 0.05 significance level. c) Compute the coefficient of determination. d) What is the value of the sample correlation coefficient? e) Use the estimated regression equation developed in part (a) to develop a 95% confidence interval for the expected number of days absent for employees living 5 miles from the company. f) Develop a 95% prediction interval for the number of days absent for a specific employee living 5 miles from the company