serena says that if a regression line is drawn correctly in a scatterplot, there will always be the same…

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?\n a scatterplot with an odd number of points in which the correct regression line passes directly through 0 of the points\n a scatterplot with an even number of points in which the correct regression line passes directly through 0 of the points\n a scatterplot with an odd number of points in which the correct regression line passes directly through 1 of the points\n a scatterplot with an even number of points in which the correct regression line passes directly through 2 of the points

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?\n a scatterplot with an odd number of points in which the correct regression line passes directly through 0 of the points\n a scatterplot with an even number of points in which the correct regression line passes directly through 0 of the points\n a scatterplot with an odd number of points in which the correct regression line passes directly through 1 of the points\n a scatterplot with an even number of points in which the correct regression line passes directly through 2 of the points

Answer

Brief Explanations:

A regression line aims to minimize the sum - of - squared residuals. For a scatterplot with an odd number of points where the regression line passes through 0 of the points, it's impossible to have an equal number of points above and below the line since the number of points is odd.

Answer:

A. a scatterplot with an odd number of points in which the correct regression line passes directly through 0 of the points