What can we conclude if the global test of regression reject

What can we conclude if the global test of regression rejects the null hypothesis?

Strong correlations exist among the variables.

No relationship exists between the dependent variable and any of the independent variables.

Good predictions are not possible.

At least one of the net regression coefficients is not equal to zero.

Solution

What can we conclude if the global test of regression rejects the null hypothesis?

Strong correlations exist among the variables.

No relationship exists between the dependent variable and any of the independent variables.

Good predictions are not possible.

At least one of the net regression coefficients is not equal to zero.

Answer: At least one of the net regression coefficients is not equal to zero

The global test is used to investigate if any of the independent variables have a significant coefficient. F test is the test of the overall explanatory power of the model. t test is the test of the individual significance of the regression coefficients .