In this sense, it is always correct to say "Correlation does not imply causation."

However, there is a well known principle that correlation does not imply causality.

However, most of these studies focus on various correlations, and correlation does not imply causation.

In this case, correlation between studying and test scores would almost certainly imply causation.

As anyone who has taken an introductory statistics course knows, correlation does not imply causality.

Of course, we all know that correlation does not imply causality, so they dug a little deeper.

Anyone who has studied statistics in any context will know that correlation does not imply causation.

An empirical correlation does not necessarily imply cause.

The model must express more than correlation because correlation does not imply causation.

On paper, that is fairly high, because a correlation of 1.0 implies that two assets are moving in perfect tandem.