The F statistic checks the significance of the relationship between the dependent variable and the particular combination of independent variables in the regression equation. The F statistic is based on the scale of the Y values, so analyze this statistic in combination with the p–value (described in the next section). When comparing the F statistics for similar sets of data with the same scale, the higher F statistic is better.
The formula for the F statistic is given in Table 1, ANOVA Statistics, Standard Regression with a Constant.