Question

Which scatterplots have a nonlinear association? Select three options 

Answer 1

Scatterplots with a nonlinear association can have curved patterns, cluster patterns, or no clear pattern at all.

Step-by-step explanation:

To determine which scatterplots have a nonlinear association, we need to look for patterns that do not follow a straight line. Nonlinear associations can take different forms, such as curves, clusters, or no clear pattern at all. Here are three examples of scatterplots with nonlinear associations:

1. Figure A shows a scatterplot with a curved pattern. The points form a parabolic shape, indicating a quadratic association.
2. Figure B shows a scatterplot with a cluster pattern. The points form distinct groups or clusters, suggesting a non-linear relationship.
3. Figure C displays a scatterplot with no clear pattern. The points are scattered randomly and do not follow any specific trend, indicating no association between the variables.

These scatterplots would not be good candidates for linear regression because a linear model would not accurately represent the relationship between the variables in these cases.