You have just run a regression in which the value of the multiple coefficient of determination is 0.65.To determine if this indicates that the independent variables explain a significant portion of the variation in the dependent variable,you would perform an F-test.

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The coefficient of determination (R-squared) measures the proportion of variation in the dependent variable that is explained by the independent variables. An R-squared of 0.65 indicates that the independent variables explain 65% of the variation in the dependent variable. To determine if this is a significant amount of variation, an F-test can be performed to test the null hypothesis that all of the regression coefficients (except for the intercept) are equal to zero. If the p-value for the F-test is less than the chosen alpha level (typically 0.05), then we reject the null hypothesis and conclude that the independent variables do have a significant effect on the dependent variable.

You Have Just Run a Regression in Which the Value