The manager of High Point Sofa and Chair, a large furniture manufacturer located in North Carolina, is studying the job performance ratings of a sample of 15 electrical repairmen employed by the company. An aptitude test is required by the human resources department to become an electrical repairman. The manager was able to get the score for each repairman in the sample. In addition, he determined which of the repairmen were union members (code = 1) and which were not (code = 0). The sample information is reported below. Worker Job Performance Score Aptitude Test Score Union Membership Abbott 58 5 0 Anderson 53 4 0 Bender 33 10 0 Bush 97 10 0 Center 36 2 0 Coombs 83 7 0 Eckstine 67 6 0 Gloss 84 9 0 Herd 98 9 1 Householder 45 2 1 Lori 97 8 1 Lindstrom 90 6 1 Mason 96 7 1 Pierse 66 3 1 Rohde 82 6 1 Click here for the Excel Data File. a-1. Use a statistical software package to develop a multiple regression equation using the job performance score as the dependent variable and aptitude test score and union membership as independent variables. (Round your answers to 3 decimal places.) a-2. Complete the table. (Round your answers to 3 decimal places.) a-3. Find the Standard error, R2 and R2(adj). (Round your 'S' value to 4 decimal places and other answers to 1 decimal place.) a-4. Complete the ANOVA table. (Round your SS, MS, F, and P values to 2 decimal places.)
The manager of High Point Sofa and Chair, a large furniture manufacturer located in North Carolina, is studying the job performance ratings of a sample of 15 electrical repairmen employed by the company. An aptitude test is required by the human resources department to become an electrical repairman. The manager was able to get the score for each repairman in the sample. In addition, he determined which of the repairmen were union members (code = 1) and which were not (code = 0). The sample information is reported below.
| Worker | Job Performance Score | Aptitude Test Score | Union Membership | |||
| Abbott | 58 | 5 | 0 | |||
| Anderson | 53 | 4 | 0 | |||
| Bender | 33 | 10 | 0 | |||
| Bush | 97 | 10 | 0 | |||
| Center | 36 | 2 | 0 | |||
| Coombs | 83 | 7 | 0 | |||
| Eckstine | 67 | 6 | 0 | |||
| Gloss | 84 | 9 | 0 | |||
| Herd | 98 | 9 | 1 | |||
| Householder | 45 | 2 | 1 | |||
| Lori | 97 | 8 | 1 | |||
| Lindstrom | 90 | 6 | 1 | |||
| Mason | 96 | 7 | 1 | |||
| Pierse | 66 | 3 | 1 | |||
| Rohde | 82 | 6 | 1 | |||
Click here for the Excel Data File.
a-1. Use a statistical software package to develop a multiple regression equation using the job performance score as the dependent variable and aptitude test score and union membership as independent variables. (Round your answers to 3 decimal places.)
a-2. Complete the table. (Round your answers to 3 decimal places.)
a-3. Find the Standard error, R2 and R2(adj). (Round your 'S' value to 4 decimal places and other answers to 1 decimal place.)
a-4. Complete the ANOVA table. (Round your SS, MS, F, and P values to 2 decimal places.)
b-1. Test the hypothesis: H0: β1 = β2 = 0.
b-2. How effective are these two variables in explaining the variation in job performance? (Round your answer to 1 decimal place.)
c-1. To test the significance of union membership on job performance, H0: β2 = 0, state the decision rule using a 0.05 level of significance. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
c-2. Compute the test statistic for union membership. (Round your answer to 3 decimal places.)
c-3. Determine if union membership should be included as an independent variable.
c-4. What is the effect of union membership on job performance? (Round your answer to 1 decimal place.)
d-1. If you include an interaction, what is the regression equation? (Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places.)
d-2. Complete the following table. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
d-3. Compute the value of the test statistic for the interaction term. (Round your answer to 3 decimal places.)
d-4. Test the significance of the interaction of union membership and aptitude on job performance, H0: β3 = 0, using a 0.05 level of significance.
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