We would use cross-tabulation if we wanted to visualize the nonmonotonic relationship between two nominal scaled variables.

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Cross-tabulation (also known as contingency table analysis) is a statistical tool used to explore the relationship between two categorical variables. It is particularly useful when we want to examine the relationship between two nominal or ordinal variables. Cross-tabulation helps to visualize the non-monotonic (i.e., non-linear) relationship between two nominal scaled variables.

We Would Use Cross-Tabulation If We Wanted to Visualize the Nonmonotonic