Quote:
Originally Posted by Basel A
Won't you simply end up with OPR? OPR does R = C1 + C2 + C3 and B = C4 + C5 + C6. Your suggestion subtracts the second equation from the first, so it's really the same. Or will the solution be different because of the different error term being minimised?
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I don't think so. Minimizing (R - (C1+C2+C3))^2 + (B - (C4+C5+C6))^2 is different than minimizing ((R-B) - ((C1+C2+C3)-(C4+C5+C6))^2
Another way to look at it: Say that all Team 2 does is play defense against the opposing alliance and reduce its score by 25 points every time it plays. C2 should be 25 (minus any mean term). But if you only look at C1+C2+C3 as a way to predict R, C2 will look like zero because C2 doesn't affect R. But C2 does affect (R-B) by making B smaller by 25 points, so the new metric should be able to capture this effect.