What does a correlation coefficient of 0 signify?

A correlation coefficient of 0 indicates that there is no linear relationship between the two variables being examined. This means that changes in one variable do not predict changes in the other variable in a linear fashion. It’s important to understand that this does not imply that there is no relationship at all, but rather that any relationship that may exist is not linear.

In statistical analysis, the correlation coefficient ranges from -1 to +1. A value of 0 specifically shows that there is no tendency for high values of one variable to be paired with high or low values of another variable, and vice versa. Thus, when interpreting the correlation coefficient, a value of 0 serves as a clear indicator of the absence of a linear correlation between the variables under consideration.