Discussion
In a multiple regression analysis, an examination of variances revealed that explained sum of squares per degree of freedom and residual sum of squares per degree of freedom were 250 and 100, respectively. What is the F-ratio ?
Answer: D
The F-ratio is 2.5.
The F-ratio in regression is the explained mean square divided by the residual mean square, where each mean square is the sum of squares per degree of freedom.
\[ F = \frac{250}{100} = 2.5 \]
The value 0.4 is the ratio turned upside down, and 6.25 and 5.25 do not follow from the two numbers given.
The numerator, 250, is the variance explained by the regression per degree of freedom, and the denominator, 100, is the unexplained variance per degree of freedom; an F-ratio above 1 shows that the model explains more than chance would.
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