The personnel manager for a large corporation feels that there may be a relationship between absenteeism and the age of workers. The manager would like to use the age of a worker to develop a model to predict the number of days absent during a calendar year. A random sample of 5 workers was selected with the results presented below:
Worker Age in years (X) Days absent (Y)
1 27 15
2 61 6
3 37 10
4 23 18
5 46 9
=
=
SSXX = SSYY = SS XY =
a) Compute , , SSXX , SSYY , SS XY in the table above.
b) Determine the sample correlation coefficient between age and number of days absent.
c) Determine the regression equation using number of days absent as the dependent variable.
d) Compute the standard error of the estimate se.