Question

which statements describe a residual plot for a line of best fit that is a good model for a scatterplot? check all that apply. there are about the same number of points above the x - axis as below it. the points are randomly scattered with no clear pattern. the points lie on a line. the points lie on a curve. the number of points is equal to those in the scatterplot. the y - coordinates of the points are the same as the points in the scatterplot.

Explanation:

1. For a good residual plot (line of best fit is good), residuals should be random (no pattern) - so "The points are randomly scattered with no clear pattern" is correct.
2. There should be about equal number of points above and below x - axis (since residuals represent errors, positive and negative should balance) - so "There are about the same number of points above the x - axis as below it" is correct.
3. Residuals in a good model don't lie on a line or curve (that would mean a pattern, so model is bad) - so those options are wrong.
4. The number of points in residual plot is same as scatterplot (each data point has a residual) - so "The number of points is equal to those in the scatterplot" is correct.
5. Residuals are differences (y - y_predicted), so y - coordinates of residual points are not same as scatterplot - so that option is wrong.

Answer:

• There are about the same number of points above the x - axis as below it.
• The points are randomly scattered with no clear pattern.
• The number of points is equal to those in the scatterplot.