Exploring Association

Question 3 • AL-Science 7 A

Which statement is true regarding the traits of scatterplots?

Answer

The strength of a correlation is independent of whether the correlation of a scatterplot is positive or negative. A scatterplot with positive correlation can have either weak association or strong association.

The slope of a line is independent of whether the correlation of a scatterplot has positive or negative correlation. A scatterplot with a negative slope can have either positive correlation or negative correlation.

The nonlinear association of a scatterplot depends on whether it has a weak or strong correlation. A scatterplot with nonlinear association will have a strong correlation.

The nonlinear association of a scatterplot depends on whether it has a positive or negative correlation. A scatterplot with nonlinear correlation will have a negative correlation.

Explanation

Correlation strength describes how closely the points follow a pattern, while the sign describes its direction. These are separate traits: a positive association can be weak or strong, just as a negative association can be weak or strong. Therefore, the true statement is that correlation strength is independent of whether the correlation is positive or negative.

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