In: Statistics and Probability
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 6 employees was chosen, and the
following 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 a
significant relationship between
distance to work and number of days absent. State your
conclusion.
g. Conduct an F-test at a 0.05 level of significance to test for a
significant relationship between
distance to work and number of days absent. State your
conclusion.
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 linear
regression?