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

A global null hypothesis test in multiple regression tests whether all of the independent variables have a significant relationship with the dependent variable. A rejection of the null hypothesis indicates that at least one independent variable is significantly related to the dependent variable. Therefore, the best choice is B.

A Manager at a Local Bank Analyzed the Relationship Between