In multiple regression,if the overall null hypothesis is rejected,________.
A)the mean value of the dependent variable will be different for different categories of the independent variable
B)the means of the independent variables are not equal
C)there is an association between the independent variables
D)one or more population partial regression coefficients have a value different from 0

Question

Quizplus · Accepted Answer

If the overall null hypothesis is rejected in multiple regression, it means that at least one predictor variable is significantly related to the outcome variable. This implies that one or more of the population partial regression coefficients have a value different from zero. Therefore, option D is the best choice. Option A is not necessarily true since the mean value of the dependent variable may be different for different categories of the independent variable even if the overall null hypothesis is not rejected. Options B and C are not directly related to the null hypothesis being rejected in multiple regression.

In Multiple Regression,if the Overall Null Hypothesis Is Rejected,________