Using Relationships to Make Predictions. Pythagorean Formula: Predicted Winning Percentage. Try this …. How do we find the winning percentage of a team ? Which is used to calculate standard deviation: actual PERFORMANCE – mean PERFORMANCE OR mean PERFORMANCE – actual PERFORMANCE
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Pythagorean Formula: Predicted Winning Percentage
actual PERFORMANCE – mean PERFORMANCE
mean PERFORMANCE – actual PERFORMANCE
(Note: We followed the same order for MAD & standardized score.)
Wins + Loss
What is the predicted winning percentage of the Philadelphia Phillies?
where RS = runs scored and RA = runs allowed.
During the 2008 season, the Philadelphia Phillies scored a total of 779 runs and gave up 680 runs. Predict how many games the Phillies won that year.
7792 + 6802
= 0.568 = 56.8%
0.568 (162) = 92.016 games
The Phillies won 0.016_____ games than expected!
actual - predicted
92 – 92.016= -0.016wins
In 2008, the Los Angeles Angels scored 765 runs and allowed 697 runs.
The Angles won 11.548 _____ games than expected!
7652 + 6972
= 0.546 = 54.6%
0.546 (162) = 88.452 games
100 – 88.452 = 11.548
Predicted winning percentage =
RS2 + RA2
Residual = -