Alarge city hospital conducted a study 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 selected and the following data were collected.
col1: distance to work (miles)134681012141418
col2: number of days absent8587635242
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 α= .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.