A sample of 25 blue-collar employees at the production plant was taken. Each employee was asked to determine his own job satisfaction (x) on a scale from 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 line yi=11.6-1.2x was estimated by least squares for these data.
Also found were:
sample mean = 6
Sum of (x-xmean)2=130
SSE= 80.6
a) Test at the 1% significance level against the appropriate one-sided alternative 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.