Correlation does not imply causation because an association between two variables does not prove that changing one variable produces a change in the other. Even a strong correlation may result from another variable, reverse causality, or coincidence.
In Mathematics: Analysis and Approaches, Pearson's product-moment correlation coefficient measures the strength and direction of a linear correlation between two variables. A value near indicates strong positive correlation, while a value near indicates strong negative correlation. However, describes a pattern; it does not explain why that pattern exists.
