The smallest value that the standard error of estimatecan assume is:
A)-1.
B)0.
C)1.
D)-2.

Question

The smallest value that the standard error of estimatecan assume is:
A)-1. 
B)0. 
C)1. 
D)-2.

Quizplus · Accepted Answer

The standard error of estimate $S _ { ε }$ measures the average distance that the observed values fall from the regression line. It cannot be negative, as it is based on the square root of the squared differences. Therefore, the smallest value it can assume is 0, indicating a perfect fit where all points lie exactly on the regression line.

The Smallest Value That the Standard Error of Can Assume