The manager of High Point Sofa and Chair, a large furniture manufacturer located in North Carolina, is studying thejob performance ratings ofa sample of15 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 ofthe repairmen were union members (code =1) and which were not (code = O). The sample information is reported below. Slob Performance Aptitude Test Union Worker Score Score Membership Abbott 58 5 B Anderson 53 4 B Bender 33 19 9 Bush 97 18 8 Center 36 2 9 Coombs 83 7 e Eckstine 67 6 B Gloss 84 9 B Herd 98 9 1 Householder 45 2 1 Iori 97 8 1 Lindstrom 96 6 1 Mason 96 7 1 Pierse 66 3 1 Rohde 82 6 1 a-1. Use a statistical software package to develop a multiple regression equation using thejob performance score as the dependent variable and aptitude test score and union membership as independent variables. (Round your answers to 3 decimal places.) Egg a-2. Complete the table. (Round your answers to 3 decimal places.) Constant Aptitude a-3. Find the Standard error, R- and R-(adj). (Round your 'S'value to 4 decimal places and other answers to 1 decimal place.) S R2 % R-Sq(adj) % a-4. Complete the ANOVA table. (Round your SS, MS, F, and Pvalues to 2 decimal places.) Analysis of Variance Source DF SS MS F p-value Constant Aptitude Unionb-1. Test the hypothesis: Ho: B1 = P2 = 0. the hypothesis. At least one of the variables is significantly related to job performance. b-2. How effective are these two variables in explaining the variation in job performance? (Round your answer to 1 decimal place.) Adjusting for the number of independent variables, these variables explain percent of the variation in performance.c-1. To test the significance of union membership onjob performance, H0: [32 = 0, state the decision rule using a 0.05 level of significance. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.) _:l-:I 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. the null hypothesis and conclude that union membership is and should c-4. What is the effect of union membership on job performance? (Round your answer to 1 decimal place.) On average, union membership the job performance score by