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BASEBALL'S PYTHAGOREAN THEOREM

The more runs a baseball team scores, the more games the team should win. Conversely, the fewer runs a team gives up, the more games the team should win. Bill James, probably the most celebrated advocate of applying mathematics to analysis of Major League Baseball (often called sabermetrics), studied many years of Major League Baseball (MLB) standings and found that the percentage of games won by a baseball team can be well approximated by the formula

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This formula has several desirable properties.

  • The predicted win percentage is always between 0 and 1.
  • An increase in runs scored increases predicted win percentage. ...

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