Which of the following accurately states a property of Pearson's correlation?

The choice stating that Pearson's correlation only measures linear relationships is accurate because Pearson's correlation coefficient quantifies the strength and direction of a linear relationship between two continuous variables. This statistical measure can effectively indicate how one variable changes in relation to another when that relationship is linear.

In contrast, if the relationship between the variables is non-linear, Pearson's correlation may not accurately represent the relationship, potentially leading to misleading conclusions. Thus, understanding that Pearson's correlation is specifically designed for linear relationships is critical for proper data analysis and interpretation.