Or if they both go down together, the degree to which they do it together would tell you the magnitude of the covariance. Hopefully that gives you a little bit of intuition about what the covariance is trying to tell us. But the more important thing that I want to do in this video is to connect this formula, is I want to connect this definition of covariance to everything we've been doing with least squared regression. And really it's just kind of a fun math thing to do to show you all of these connections and where really the definition of covariance really becomes useful. And I really do think it's motivated to a large degree by where it shows up in regressions. And this is all stuff that we've kind of seen before. You're just going to see it in a different way.