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: 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.

Question

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:  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.

Quizplus · Accepted Answer

The ANOVA shows a significant F-test result with a p-value of 0.042, indicating that at least one of the independent variables is related to monthly salary. Therefore, the null hypothesis of no relationship between monthly salary and any of the independent variables can be rejected at a 0.05 significance level.

A Manager at a Local Bank Analyzed the Relationship Between