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

Answer 1

The statements that best describes a residual plot for a line of best fit that is a good model for a scatter plot is:

• 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 scatter plot.

Explanation:

We know that a line of best fit is a line that best represents the set of data.

In this the point may or may not lie on the line but the number of points that lie above or below the line are equal ; otherwise the line will not be a line of best fit.

Also the points may be distorted in any manner not necessarily in a straight line.

Answer 2

Answer: The true statements are:-

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 scatter plot.

Explanation:

• A residual plot is a graph which shows that the residuals on the vertical axis and the independent variable on the horizontal axis.

Thus, the number of points is equal to those in the scatter plot and ame number of points above the x-axis as below it.

We know the points are randomly scattered across the plot, so that there is no relationship. Thus the points are randomly scattered with no clear pattern.