What can we conclude if the global test of regression rejects the null hypothesis?
A) Strong correlations exist among the variables.
B) No relationship exists between the dependent variable and any of the independent variables.
C) At least one of the net regression coefficients is not equal to zero.
D) Good predictions are not possible.

Question

Quizplus · Accepted Answer

If the global test of regression rejects the null hypothesis, it means that there is at least one variable that has a significant relationship with the dependent variable. This can be concluded because the null hypothesis assumes that all net regression coefficients are equal to zero, indicating no relationship between the independent variables and the dependent variable. Therefore, option C is the correct answer. Option A may or may not be true, as strong correlations can exist even without a significant relationship with the dependent variable. Option B is not correct, as it assumes that no relationship exists between any independent variable and the dependent variable. Option D is also not correct since good predictions may still be possible even if there is a significant relationship among the variables.

What Can We Conclude If the Global Test of Regression