Pythagorean expectation is a sports analytics formula devised by Bill James to estimate the percentage of games a baseball team "should" have won based on the number of runs they scored and allowed. Comparing a team's actual and Pythagorean winning percentage can be used to make predictions and evaluate which teams are overperforming and underperforming. The name comes from the formula's resemblance to the Pythagorean theorem. The basic formula is:
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