My experience is that they tend to be negatively correlated with a good number of outliers.

Experience: My professors were shit, but I was able to do science in one of their labs and that got me into graduate school. Research faculty give opportunities that are impossible to find elsewhere.

I laughed out loud at this. Faculty can run good research programs and be decent teachers but if they're only measured on research grant dollars, completed graduate degrees, and publications, why spend any extra effort on teaching undergrads?

Seems unlikely. Good researchers care about research, and don't really care about teaching. While people who care a lot about teaching may not care much about research. A lot of profs don't like teaching and prefer spending time in the lab.

There may be some people who are passionate about both (and of course, people who don't give a crap about either)