Various commentators have argued that parental loss in early childhood has a fairly high correlation with later eminence.

A high correlation of attitudes and subjective norms to behavioral intention, and subsequently to behavior, has been confirmed in many studies.

The high correlation indicates that participants were aware of at least some of the knowledge they had acquired.

One would expect a high correlation of galaxies at small separation distances (due to the clumpy nature of galaxy formation) and a low correlation at large differences.

A high correlation for any two methods designed to measure the same property could thus in itself just be a sign that one has chosen a widespread sample.