A scattergram is primarily used to examine what aspect of two variables?

A scattergram, or scatter plot, is a graphical representation that is specifically designed to illustrate the relationship between two quantitative variables. Each point on the scattergram corresponds to an observation and shows the values of both variables. By doing so, it allows researchers to visually assess how changes in one variable may relate to changes in the other, including whether the relationship is positive, negative, or nonexistent, as well as the strength and direction of that relationship.

This type of visualization is crucial in exploratory data analysis, as it can help identify potential correlations, trends, or patterns that might warrant further investigation. For instance, if the points trend upward from left to right, this suggests a positive correlation, while a downward trend indicates a negative correlation. Additionally, a scattergram can reveal the presence of outliers, which may be important for further analysis.

In contrast, examining the significance of differences pertains more to inferential statistics, such as t-tests or ANOVAs, that compare group means rather than focusing on relationships. The frequency of occurrence is typically analyzed using bar graphs or histograms, which are better suited for categorical data rather than the continuous variables represented in scattergrams. Lastly, assessing individual characteristics is more aligned with descriptive statistics or profiles rather than the relational focus