A sociologist was hired by a large city hospital to investigatethe relationship between the number of
unauthorized days that employees are absent per year and thedistance (miles) between home and
work for the employees. A sample of 6 employees was chosen, and thefollowing data were collected.
Distance to work (miles) 1 3 4 6 8 10
Number of days absent 8 5 8 7 6 3
e. Compute the correlation coefficient.
f. Conduct a t-test at a 0.05 level of significance to test for asignificant relationship between
distance to work and number of days absent. State yourconclusion.
g. Conduct an F-test at a 0.05 level of significance to test for asignificant relationship between
distance to work and number of days absent. State yourconclusion.
h. Did you get the same conclusion for the t-test and the F-test?Will this always be the case for a
test for significance of the relationship in a simple linearregression?
