A sample of 25 blue-collar employees at a production plant was taken. Each employee was asked to

Question:

A sample of 25 blue-collar employees at a production plant was taken. Each employee was asked to assess his or her own job satisfaction (x) on a scale of 1 to 10. In addition, the numbers of days absent (y) from work during the last year were found for these employees. The sample regression
y`i = 11.6 €“ 1.2x
Line was estimated by least squares for these data. Also found were

a. Test, at the 1% significance level against the appropriate one-sided alternative, the null hypothesis that job satisfaction has no linear effect on absenteeism.
b. A particular employee has job satisfaction level 4. Find a 90% interval for the number of days this employee would be absent from work in a year.