A graph that shows the relationship between two continuous variables is a?

A graph that shows the relationship between two continuous variables is a?

• A. Bar graph
• B. Line graph
• C. Scatter plot
• D. Pie chart

Answer: (C)

The correct answer, a scatter plot, effectively illustrates the relationship between two continuous variables by plotting individual data points on a two-dimensional axis. Each point on the plot represents a unique combination of values for the two variables being analyzed, which allows for the identification of trends, patterns, or correlations between them. Scatter plots are particularly useful for examining the strength and direction of a relationship, as well as identifying any outliers in the data. This visualization technique supports a clearer understanding of how one variable may impact or relate to another, making it a powerful tool in statistical analysis and data interpretation. In contrast, bar graphs are typically used to compare discrete categories rather than to display relationships between continuous variables. Line graphs also visualize trends over time or sequences but do not inherently depict a relationship between two separate continuous variables as each line represents a single variable in relation to another. Pie charts are designed to show proportions of a whole, focusing on categorical data rather than the interactions between continuous data points.

The correct answer, a scatter plot, effectively illustrates the relationship between two continuous variables by plotting individual data points on a two-dimensional axis. Each point on the plot represents a unique combination of values for the two variables being analyzed, which allows for the identification of trends, patterns, or correlations between them.

Scatter plots are particularly useful for examining the strength and direction of a relationship, as well as identifying any outliers in the data. This visualization technique supports a clearer understanding of how one variable may impact or relate to another, making it a powerful tool in statistical analysis and data interpretation.

In contrast, bar graphs are typically used to compare discrete categories rather than to display relationships between continuous variables. Line graphs also visualize trends over time or sequences but do not inherently depict a relationship between two separate continuous variables as each line represents a single variable in relation to another. Pie charts are designed to show proportions of a whole, focusing on categorical data rather than the interactions between continuous data points.