You are asked to study the determinants of job satisfaction atyour new company. After randomly selecting 40 employees to fill outa questionnaire you regress their job satisfactions score (JOBSAT)on the following variables: SCHOOL = years of schooling MALE = 1 ifmale Engr = 1 if employee is in the technical division Adv = 1 ifemployee is in the marketing division Sales = 1 if employee is inthe sales division Exec = 1 if employee is in the corporatedivision Some regression output is attached following the questionsbelow: a) Test whether any of the explanatory variables are relatedto job satisfaction b) Test the hypothesis that schooling affectsjob satisfaction c) Give a confidence interval for the coefficientfor the MALE variable. What does the interval imply about maleversus female job satisfaction? d) Test whether an employee’s jobsatisfaction depends on the department where they work 4 e) Whenexplaining your results to your boss, she questions whether youperformed your analysis correctly since there are four departmentsin your firm but you only included variables for three departments.How would you respond?
The regression equation is JOBSAT = 51.8 + 3.48 MALE + 0.504SCHOOL + 6.06 Engr -0.37 Adv +2.99 Sales
Predictor Coef Stdev t-ratio
Constant 51.798 6.888 7.52
MALE 3.484 1.558 2.24
SCHOOL 0.504 0.478 1.05
Engr 6.055 2.219 2.73
Adv -0.370 2.308 -0.16
Sales 2.987 2.190 1.36
s = 4.869 R-sq = 35.3% R-sq(adj) = 25.8%
Analysis of Variance
SOURCE DF SS MS F p
Regression 5 440.18 88.04 3.71 0.009
Error 34 805.89 23.70
Total 39 1246.07
The regression equation is JOBSAT = 53.8 + 3.48 MALE + 0.517SCHOOL
Predictor Coef Stdev t-ratio
Constant 51.794 6.677 8.06
MALE 3.477 1.723 2.02
SCHOOL 0.517 0.498 1.04 s = 5.390 R-sq = 13.7% R-sq(adj) =9.1%
Analysis of Variance
SOURCE DF SS MS F p
Regression 2 171.18 85.50 2.94 0.065
Error 37 1075.08 29.06
Total 39 1246.07
