Discussion
In a multiple regression model, the explained variance per d.f. is 50 and unexplained variance per d.f. is 10. The F-ratio is
Answer: B
The F-ratio is 5, option B. In a regression analysis the F-ratio is the explained variance per degree of freedom divided by the unexplained variance per degree of freedom, that is, the mean square of the regression over the mean square of the residual.
\[ F = \frac{50}{10} = 5 \]
Option A, 2.5, has no basis in the figures. Option C, 25, is 5 squared and is a common slip. Option D, 0.2, is the inverse ratio, 10 divided by 50, which is obtained when the two variances are put the wrong way round. The larger mean square goes on top.
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