It can be shown that the sum of residuals from a least squares line always equals zero.

Question:

It can be shown that the sum of residuals from a least squares line always equals zero.
a. Does it follow from this result that the mean of the residuals from a least squares line always equals zero? Explain briefly.
b. Does it follow from this result that the median of the residuals from a least squares line always equals zero? Explain briefly.

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