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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 Abbott Anderson Bender Bush Center Coombs Eckstine Gloss Herd Householder Lori Lindstrom Mason Pierse Rohde Job Performance Score 58 Performance = 53 33 97 36 83 67 84 98 45 97 90 96 66 82 Aptitude Test Score 5 4 29.276 + 10 10 2 7 6 9 9 Standard Crear 2 8 6 7 3 6 5.222 Aptitude + Union Membership 0 0 .......... 0 0 0 0 0 0 1 1 1 1 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.) 1 1 Check my work 22.135 Union a-2. Complete the table. (Round your answers to 3 decimal places.)

a-2. Complete the table. (Round your answers to 3 decimal places.) Predictor Constant Aptitude Union Coefficients S R² R-Sq(adj) a-3. Find the Standard error, R² and R²2(adj). (Round your 'S' value to 4 decimal places and other answers to 1 decimal place.) Analysis of Variance Source Constant Aptitude Union % DF Standard Error :% a-4. Complete the ANOVA table. (Round your SS, MS, F, and P values to 2 decimal places.) t SS p-value MS F p-value

b-1. Test the hypothesis: Ho: B1 B2 = 0. Reject Fail to reject 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 on job performance, Ho: B2 = 0, state the decision rule using a 0.05 level of - A.

c-2. Compute the test statistic for union membership. (Round your answer to 3 decimal places.) Value of test statistic c-3. Determine if union membership should be included as an independent variable. the null hypothesis and conclude that union membership is c-4. What is the effect of union membership on job performance? (Round your answer to 1 decimal place.) On average, union membership and should the job performance score by Check my work

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.) Performance = Predictor Constant Aptitude Union x₁x₂ d-2. Complete the following table. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) Coefficient Value of test statistic Aptitude + SE Coefficient Union + p-value X1 X2- d-3. Compute the value of the test statistic for the interaction term. (Round your answer to 3 decimal places.)

Aptitude Union X₁X2 d-3. Compute the value of the test statistic for the interaction term. (Round your answer to 3 decimal places.) Value of test statistic d-4. Test the significance of the interaction of union membership and aptitude on job performance, Ho: B3 = 0, using a 0.05 level of significance. the hypothesis. There is between aptitude and union membership when predicting job performance.