A link doesn't prove anything. There could be a link between carrots and car accidents. It is just a statistical fact of the data you're looking at that people who are involved in serious car accidents have eaten more carrots in the preceding 24 hours than people who weren't.

It is like diabetes and obesity. Yes, if you have T2 diabetes you're quite likely to be overweight, but that doesn't meant that obesity causes diabetes. They could both be caused by something else.