In simple linear regression, the denominator of the standard error of estimate s_{$\varepsilon$} is $\sqrt { n - 2 }$ .

Question

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The denominator of the standard error of estimate s_{$\varepsilon$} is $\sqrt { n - 2 }$ because it is a measure of the variability of the residuals, which are the differences between the observed values of the dependent variable and the values predicted by the regression line. The sample size n is reduced by 2 because the regression line is estimated using two parameters, the intercept and the slope.

In Simple Linear Regression, the Denominator of the Standard Error ε\varepsilonε

In Simple Linear Regression, the Denominator of the Standard Error $\varepsilon$