Which of these is true regarding correlation?

Correlation measures the strength and direction of a linear relationship between two variables. The correlation coefficient, often denoted as "r", ranges from -1 to +1. A value of +1 indicates a perfect positive correlation, where the variables move in the same direction, while a value of -1 indicates a perfect negative correlation, where they move in opposite directions. A correlation of 0 suggests no linear relationship exists between the variables.

Given this context, the assertion that correlation cannot be greater than one is true because the maximum value for correlation, by its definition, is +1. Values beyond this range do not exist in statistical analysis of correlation. Additionally, this answer aligns with the established rules of correlation in statistics, emphasizing the limitation imposed on the correlation coefficient.

In contrast, other options address misunderstandings about correlation: it can indeed be zero, representing no relationship; it cannot be infinite, as correlation is constrained within a specific numeric range; and correlation is not inherently negative since it can also be positive or neutral, depending on the observed relationship between the variables.