The definition of a correlation is a connection or interdependence between two or more things.(noun)
When there is a connection between very cold weather and your car not starting, this is an example of a situation where there is a correlation.
See correlation in Webster's New World College Dictionary
Origin: ML correlatio: see com- & relation
See correlation in American Heritage Dictionary 4
Origin: Medieval Latin correlātiō, correlātiōn-
Origin: : Latin com-, com-
Origin: + Latin relātiō, relation, report (from relātus, past participle of referre, to carry back; see relate).
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