Final answer:
The scatterplot titled Population of Ohio displays the relationship between years and population size over time, serving to organize paired data points, compare variables, and visualize their relationship.
Step-by-step explanation:
The purpose of using a scatterplot is to visually represent data so that relationships and patterns between different variables can be examined. By plotting bivariate data on a graph with an x-axis and y-axis, one can organize paired data points, compare dependent and independent variables, and observe the relationship between them.
In the case of the scatterplot titled Population of Ohio, with years plotted on the x-axis and population in millions on the y-axis, the purpose is to compare the population size at different points in time and to see how the population has changed over the years.
Scatterplots are not typically used to connect points with a line (which would imply a line graph representation), nor are they used to directly calculate the slope between two variables, although the overall trend can indicate an increase or decrease over time.