The meaning of F Value in the Analysis of Variance for Linear regression

This is a sample output for linear regression:

Linear regression output

The F Value is computed by dividing the value in the Mean Square column for Source with the value in the Mean Square column for Error. In our example, it’s 178.11288/5.34346 = 33.33.

There are two possible interpretations for the F Value in the Analysis of Variance table for the linear regression.

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