Caroline has constructed a multiple regression model and has
Caroline has constructed a multiple regression model and has conducted an F test of the model at a level of significance of 0.05. The model has four independent variables. The result of the F test was that the null hypothesis was rejected. Select the appropriate conclusion that can be drawn:
| at least one of the regression coefficients is non-zero | |
| the dependent variable is not related to any of the independent variables | |
| exactly one of the regression coefficients is non-zero | |
| all of the regression coefficients are non-zero | |
| all of the regression coefficients are zero | 
Solution
At least one of the regression coefficients is non-zero because the alternative hypothesis this says when the null hypothesis is rejected

