Which type of graph shows the relationship between dependent and independent quantitative variables?

A scattergram, also known as a scatter plot, effectively illustrates the relationship between two quantitative variables. In this type of graph, each point represents a pair of values, one from each variable. By plotting these points on a two-dimensional axis, the scattergram helps visualize how changes in one variable correspond to changes in the other.

For instance, if you're examining how hours studied influences exam scores, each point on the scattergram provides a visual representation of this relationship. If a discernible pattern emerges, such as points forming a line or clustering, it signals a correlation between the variables. This makes scattergrams especially useful in statistical analysis for identifying trends or associations.

In contrast, pie charts are best suited for displaying parts of a whole in categorical data, while bar graphs are more effective for comparing discrete categories rather than illustrating relationships between quantitative variables. Line graphs, while useful for showing trends over time with sequential data points, can also be considered. However, scattergrams offer a clearer depiction of how two independent and dependent variables interact directly without the assumption of order.