Checking only whether the sum of residuals is zero is not sufficient to determine if a linear regression model is appropriate. While the sum of residuals will always equal zero, one should also examine the residual plot for any patterns, as a pattern would indicate that a linear model is not appropriate for the data.
Do you agree with the following statement Checking whether the su.pdf
1. Do you agree with the following statement? "Checking whether the sum of residuals is zero is
sufficient to conclude that a linear regression model is appropriate."
A. No, the sum of residuals will always add to zero. One should also check the residual plot. If
there is a pattern in the residual plot, it indicates that a linear regression model is NOT
appropriate.
B. Yes. In fact, examining only the scatterplot of Y vs. X is sufficient to conclude that a linear
regression model is appropriate.
C. Yes, the sum of residuals equating to zero confirms appropriateness of a linear regression
model.
D. No, the sum of residuals will never add to zero. It is either +1 or ?1.
Solution
C. No, the sum of residuals will always add to zero. One should also check the
residual plot. If there is a pattern in the residual plot, it indicates that a linear regression model is
NOT appropriate.