SOLUTION: A manager at a local bank analyzed the relationship between monthly salary and three independent variables: length of service (measured in months), gender ( 0 = female, 1 = male) a

Question 325712: A manager at a local bank analyzed the relationship between monthly salary and three independent variables: length of service (measured in months), gender ( 0 = female, 1 = male) and job type (0 = clerical, 1 = technical). The following ANOVA summarizes the regression results:
ANOVA
df ss ms e
Regression 3 1004346.771 334782.257 5.96
Residual 26 1461134.596 56197.48445
Total 29 2465481.367
Coefficients Standard Error t Stat P-value
Intercept 784.92 322.25 2.44 0.02
Service 9.19 3.20 2.87 0.01
Gender 222.78 89.00 2.50 0.02
Job -28.21 89.61 -0.31 0.76

20. Based on the ANOVA and a 0.05 significance level, the global null hypothesis test of the multiple regression model
A) Will be rejected and conclude that monthly salary is related to all of the independent variables
B) Will be rejected and conclude that monthly salary is related to at least one of the independent variables.
C) Will not be rejected.
D) Will show a high multiple coefficient of determination

21. Based on the ANOVA, the multiple coefficient of determination is
A) 5.957%
B) 59.3%
C) 40.7%
D) cannot be computed

22. Based on the hypothesis tests for the individual regression coefficients,
A) All the regression coefficients are not equal to zero.
B) "job" is the only significant variable in the model
C) Only months of service and gender are significantly related to monthly salary.
D) "service" is the only significant variable in the model

23. In the regression model, which of the following are dummy variables?
A) Intercept
B) Service
C) Service and gender
D) Gender and job
E) Service, gender, and job

24. The results for the variable gender show that
A) males average $222.78 more than females in monthly salary
B) females average $222.78 more than males in monthly salary
C) gender is not related to monthly salary
D) Gender and months of service are correlated.

25. Based on the hypothesis tests for individual regression coefficients,
A) All regression coefficients should remain in the regression equation
B) Based on the standard errors, the variable, service, should not be included in the regression equation.
C) Based on the p-values, the variable, job, should not be included in the regression equation.
D) The relationship between monthly salary and gender is linear.
Answer by lex329(1) (Show Source): You can put this solution on YOUR website!
21. b
22. c
23. a
24. a
25. c
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