If the standard error of estimate is zero,then:
A)the coefficient of determination must be 1.0.
B)all the points fall on the regression line.
C)there is no unexplained variation left.
D)All of these choices are true.

Question

Quizplus · Accepted Answer

When the standard error of estimate is zero, it means there is perfect prediction with no errors between the observed and predicted values. This implies that all points fall exactly on the regression line, leaving no unexplained variation. Consequently, the coefficient of determination, which measures the proportion of the variance in the dependent variable that is predictable from the independent variable(s), would be exactly 1.0, indicating perfect predictability. Therefore, all of these statements are true under this condition.

If the Standard Error of Estimate Is Zero,then