Given data:

Age = quant
Income = quant
Country of birth = qual
Phone provider = qual

What graphical summary best represents the relationship between Age, Income and Country of birth?

Question

Given data:

Age = quant
Income = quant
Country of birth = qual
Phone provider = qual

What graphical summary best represents the relationship between Age, Income and Country of birth?

BlackTom AI · Accepted Answer

The question asks for a graphical summary that best represents the relationship among three variables: two quantitative measures (Age and Income) and one qualitative category (Country of birth).
Option 1: Filtered scatterplot. A scatterplot is the natural choice to display the relationship between two quantitative variables (Age vs Income). By applying a filter or using color/facets for Country of birth, you can compare how the relationship differs across countries, fulfilling the need to incorporate the categorical variable alongside the two numeric measures. This option aligns well with exploring interplay among all three variables.
Option 2: Comparative boxplot. A boxplot is excellent for comparing the distribution of a single quantitative variable across groups defined by a categorical variable. However, with two quantitative variables to relate (Age and Income), a single boxplot cannot simultaneously show their joint relationship. It would only summarize one quantitative aspect at a time (e.g., Income by Country or Age by Country), potentially obscuring the direct Age–Income relationship.
Option 3: Sliced histogram. Histograms visualize the distribution of a single quantitative variable. A sliced or faceted histogram can show distributions of one variable across categories, but it does not capture the joint relationship between two quantitative variables (Age and Income) in a way that makes their association with Country of birth readily interpretable.
Option 4: Stacked barplot. Stacked bars are typically used for summarizing parts of a whole for categorical data or for representing counts/proportions across groups. They are not well-suited to representing a joint relationship between two quantitative variables, and they don’t effectively convey how Age and Income relate across different countries.
Overall, the core goal is to visualize how two numeric measures relate while also distinguishing groups defined by a qualitative category. A filtered (or color/faceted) scatterplot directly supports this by showing Age versus Income and allowing country-based comparison, whereas the other options primarily handle one quantitative variable at a time or emphasize distribution across groups without capturing their joint relationship.

DATA1001/1901 (ND) Revision Quiz 2

Given data: Age = quant Income = quant Country of birth = qual Phone provider = qual What graphical summary best represents the relationship between Age, Income and Country of birth?

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