The sum of the residuals in a least squares regression model will be zero only when the correlation between the x and y variables is statistically significant.

Question

Quizplus · Accepted Answer

The sum of the residuals in a least squares regression model is always zero, regardless of the correlation's statistical significance, because the line of best fit is calculated in a way that minimizes the sum of the squared residuals, leading to their sum being zero.

The Sum of the Residuals in a Least Squares Regression