The incidence between the moon and increased crime would clearly imply correlation.
Explanation:
From what people used to say, it is clear that the crimes happened more on a full moon night, i.e., a full moon helped the criminals commit a crime easily as the moon made their job more convenient.
Hence, the acts of crime and the presence of a full moon were related to each other. This clarifies that incidence was a correlation and not a causation.