The standard error of estimate, $$S _ { \varepsilon }$$ , is given by:
A) SSE/(n - 2).
B) $$\sqrt { S S E } / ( n - 2 )$$ .
C) $$\sqrt { S S E / ( n - 2 ) }$$ .
D) SSE/ $$\sqrt { n - 2 }$$ .

Question

The standard error of estimate, $$S _  { \varepsilon }$$ , is given by:
A) SSE/(n - 2).
B) $$\sqrt { S S E } / ( n - 2 )$$ .
C) $$\sqrt { S S E / ( n - 2 ) }$$ .
D) SSE/ $$\sqrt { n - 2 }$$ .

Quizplus · Accepted Answer

The standard error of estimate is defined as the standard deviation of the residuals. Therefore, it is the square root of SSE divided by the degrees of freedom, which is (n-2) for simple linear regression. Hence, the formula for the standard error of estimate is given by option C, i.e., $$\sqrt { SSE/(n-2) }$$.

The Standard Error of Estimate SεS _ { \varepsilon }Sε​

The Standard Error of Estimate $S _ { \varepsilon }$