True or False: A correlation of 0 means there is no relationship between the variables.

A correlation coefficient is a statistical measure that expresses the extent to which two variables are linearly related. When the correlation is 0, it indicates that there is no linear relationship between the variables. This means that changes in one variable do not predict changes in the other variable, establishing that the relationship is non-existent in a linear sense.

It is important to note, however, that a correlation of 0 does not imply that there is no relationship at all; it only indicates a lack of a linear relationship. Other types of relationships, such as non-linear relationships, may still exist. Therefore, the statement that a correlation of 0 means there is no relationship is inaccurate, highlighting the usefulness of understanding that correlations can reflect various types of relationships beyond just linear ones.