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

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

miss.rose · Answer

a scatterplot with an even number of points in which the correct regression line passes directly through 2 of the points

@Lxdrpr

mhchen · Answer

I think so as well. Since there would be an extra point on either of the side.

lxdrpr · Answer

^

miss.rose · Answer

Which one? the one I posted and then tagged you?

miss.rose · Answer

Can I tag you for the next question? I have less than an hour to do this.

miss.rose · Answer

Just 3 questions