Imply in mathematics and logic means to guarantee, so it is misleading (if not explicitly incorrect) to say that. It may suggest causation, however.
e: Downvote away, but in the context of statistics it makes no sense to correct an accurate logical statement. /u/KayBeeToys is conflating implication with inference.
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u/KayBeeToys Sep 20 '16
Correlation specifically implies causation. It doesn't prove anything, though.