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?
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 1

1) a scatter plot with an odd number of points in which the correct regression line passes directly through 0 of the points

Explanation:

According to the given statement the correct option given is a scatter plot with an odd number of points in which the correct regression line passes directly through 0 of the points.

If there is an odd number, and the line touches none of them, then there must be at least one more point on one side of the line than there is on the other side...