Statistical correlations are a subset of reasoning in general
A method of producing statistical correlations is a product of a reasoning mind and could be thought of as a subset of reasoning (if by "subset" we assume "everything produced by a reasoning mind via an act of reasoning"), but in order to recognise this "subset" another reasoning mind should firstly internalise the notions of statistics that are external phenomena to an act of reasoning itself. And "the act of reasoning" isn't proven to be "just something that produces correlations", it's more than that and nobody knows what exactly it is. Otherwise AI would be solved long time ago.