How many games did the Pythagorean expectation from Question 1a predict they would win?

Question

Part a. In the 2006 regular season, the Detroit Tigers played 162 games. The team scored 822 runs and allowed 675. This =0.597

Part B. The Tigers won 95 games in the 2006 season. How many games did the Pythagorean expectation from Question 1a predict they would win?

The answer is 97 !! I just don’t know how to show my work and get to that answer for Part B !

Answer 1

so this is the equation you want to use, which is how you get the 0.597 just plug your numbers in.

for part B you would say they played 162 games so you use the 0.597 from part A and multiply it by the number of games they play to get an expected winning game number. 162 x 0.597 = 96.714 = 97 winning games expected.

Answer 2

According to baseball sites on the internet, the Pythagorean Win Ratio is:

Win Ratio = (runs scored)² / [ (runs scored)² + (runs allowed)² ]

The number of games predicted would be (Win Ratio) x 162. Round to the nearest whole game.