Question

In simple linear regression, the F-Stat for overall validity of the model equals what?

A) Slope of the regression line
B) Intercept of the regression line
C) Mean of the dependent variable
D) Ratio of explained to unexplained variance

Answer 1

D) Ratio of explained to unexplained variance

The F-Stat for overall validity of the model in simple linear regression equals the Ratio of explained to unexplained variance.

Step-by-step explanation:

The F-Stat for overall validity of the model in simple linear regression is D) Ratio of explained to unexplained variance.

The F-Stat is a statistical test that determines whether the overall regression model is significant or not. It compares the variation explained by the regression model to the unexplained variation. If the F-Stat is large and the associated p-value is small, it indicates that the regression model is statistically significant and provides a good fit to the data.

For example, if the F-Stat is 15 and the associated p-value is 0.01, it means that the model explains 15 times more variance compared to the unexplained variance, and there is only a 1% chance that the observed relationship is due to random chance.