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?

Answer 1

answer choices:
1) a scatterplot with an odd number of points in which the correct regression line passes directly through 0 of the points
2) a scatterplot with an even number of points in which the correct regression line passes directly through 0 of the points
3) a scatterplot with an odd number of points in which the correct regression line passes directly through 1 of the points
4) a scatterplot with an even number of points in which the correct regression line passes directly through 2 of the points

Answer 2

in the original claim, it states that there must be the same # of points on both sides of the regression line. therefore, for the counter-example, simply find which answer choice would have different #'s of points on either side of the line. (hint: think about even vs. odd numbers of points would have to be divided based on where the regression line is)