84726
AssignmentMultiple Select

Analyzing Residuals

Question 84726 • High School Math 2 A

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
A
There are about the same number of points above the x-axis as below it.
B
The points are randomly scattered with no clear pattern.
C
The points lie on a line.
D
The points lie on a curve.
E
The number of points is equal to those in the scatterplot.
F
The y-coordinates of the points are the same as the points in the scatterplot.

Explanation

A good linear model has residuals scattered randomly around zero, with about as many above the x-axis as below it and no clear pattern. Each point in the original scatterplot contributes one residual, so the residual plot has the same number of points. The residuals’ y-coordinates are not the original y-coordinates, and a line or curve pattern would suggest the model is not fitting well.

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