Question

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
Iori	97		8		1
Lindstrom	90		6		1
Mason	96		7		1
Pierse	66		3		1
Rohde	82		6		1

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.)

Performance = ____ + _____ aptitude + _____ union

2. Complete the table. (Round your answers to 3 decimal places.)

	Predictor Coefficients Standard Error t p-value Constant Aptitude Union

3. Find the Standard error, R² and R²(adj).

	S R2 % R-Sq(adj) %

4. Complete the ANOVA table

	Analysis of Variance Source DF SS MS F p-value Constant 3 Aptitude 11 Union 14

5. 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

6. Compute the test statistic for union membership. (Round your answer to 3 decimal places.)

Value of test statistic _____

7. What is the effect of union membership on job performance?

On average, union membership increases the job performance score by _____

8. 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 = _____ + ______ aptitude + ____ union + ____ x1 x2

9. Complete the following table. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)

	Predictor Coefficient SE Coefficient t p-value Constant    Aptitude Union X1X2

10. Compute the value of the test statistic for the interaction term.

Value of the test statistic ______

Answer 1