The F–test
The significance of the regression results can be tested by using the F- statistics. The F-statistics is a ratio which compares the explained sum of squares and the unexplained sum of squares.Therefore, F = mean sum of squares due to regression Mean sum of squares due to residualFor calculation purposes:F = r^{2} /K (1 – r^{2})/n-k-1F statistics can then be used to test the hypothesis that the relationship between the dependent variables and all the independent variables is not significant.