In Running the Simple Linear Regression of Y on X $\bar { X }$

Multiple Choice

In running the simple linear regression of Y on X, if you know that no observation in your sample has an X value that is equal to $\bar { X }$ , what condition might not be true?

A) The regression line's prediction at $\bar { X }$ is $\bar { Y }$ .
B) The sum of the residuals equals zero.
C) The average of the residuals equals zero.
D) The residual for the observation closest to $\bar { X }$ will be zero.