For a fitted regression model, the sum of the ordinary least-squares residuals is:
Correct answer: B. Always equal to zero when an intercept is included
- A. Always equal to one
- B. Always equal to zero when an intercept is included
- C. Always equal to the correlation coefficient
- D. Always equal to the regression slope
Explanation
When the fitted regression includes an intercept, the residuals balance so their algebraic sum is zero. This does not mean that every individual residual is zero.
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About Correlation and Regression
Correlation describes the direction and strength of association between two variables using scatter diagrams and correlation coefficients. Regression covers fitted lines, regression equations, prediction and least squares, with a clear distinction between association and causation and between estimating a response value and reversing the roles of the variables.
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