If the sum of squared residuals is zero,then the:
A)coefficient of determination must be 1.0.
B)coefficient of correlation must be 1.0.
C)linear relationship between x and y is perfect.
D)All of these choices are true.

Question

Quizplus · Accepted Answer

If the sum of squared residuals is zero, it means that all data points perfectly fit the regression line. Therefore, the coefficient of determination (r^2) must be 1.0 because this measures the proportion of variance in the dependent variable that is explained by the independent variable. Additionally, the coefficient of correlation (r) must be 1.0 because this measures the strength of the linear relationship between x and y. Therefore, all of the choices in the question are true.

If the Sum of Squared Residuals Is Zero,then The