Serena says that if a regression line is drawn correctly in a scatterplot, there will always be the same number of points above the line as there are below the line. Which of these must be a counterexample to her claim?
a scatterplot with an odd number of points in which the correct regression line passes directly through 0 of the points
a scatterplot with an even number of points in which the correct regression line passes directly through 0 of the points
a scatterplot with an odd number of points in which the correct regression line passes directly through 1 of the points
a scatterplot w

Question

Serena says that if a regression line is drawn correctly in a scatterplot, there will always be the same number of points above the line as there are below the line. Which of these must be a counterexample to her claim?
a scatterplot with an odd number of points in which the correct regression line passes directly through 0 of the points
a scatterplot with an even number of points in which the correct regression line passes directly through 0 of the points
a scatterplot with an odd number of points in which the correct regression line passes directly through 1 of the points
a scatterplot w

miss.rose · Answer

last one that was cut off:
a scatterplot with an even number of points in which the correct regression line passes directly through 2 of the points

solomonzelman · Answer

no, the some of the residuals is 0.

solomonzelman · Answer

the sum **

solomonzelman · Answer

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Mercury · Answer

Asked & answered here: https://questioncove.com/study#/updates/5f8f12791eeffec722758000