RBI are correlated with having scored runs. They are not at all predictive of scoring runs in the future.
If David Ortiz has 101 RBI this year and goes to Seattle next year, Seattle would be wrong to value RBI as the strongest indicator of how he will fit into their lineup.
You are reading "correlated with producing runs" differently than how I (and ORS, I susped) are talking about it.
It is probably more complex than it is worth getting into here, but it is at the very foundation of how teams construct themselves these days and it is beyond dispute. No self-respecting GM or owner would look at RBIs by an individual player as the best measure of that player's value, and all teams rate a players offensive value as that players ability to create runs.
They may look at total runs scored as a good indicator of the past strength of the team, but they aren't going to use RBI the way you are talking about it.
Your use of RBI is self-referential and, as ORS said, it basically describes itself. My question still stands: why not just use runs? If you are trying to show how many runs a team scored, just use runs. There's no need to use RBI for what you are talking about.
I appreciate your intention to not disrespect me, and I don't feel disrespected. I'm not worried about being wrong here.
To me this is akin to someone arguing that the Earth is flat because when they put a ball down the ball doesn't naturally roll this way or that, as it would if one theorized that the Earth were a sphere. The Earth is a sphere (or close to it) even if it appears flat.
RBI's don't correlate strongly with player value, and player value is strongly based on the ability to create runs. I'm not twisting things, I'm stating a fairly complex fact that is backed up again and again in almost all literature about baseball post-1990.
Your chart shows that teams that scored the most runs also had the most RBI. That is intuitive. It is very different from saying that the players who are most valuable are the ones who have the most RBI.