#### Macjack452

##### New member

- Joined
- Jan 8, 2022

- Messages
- 13

Q: If Team A averages 110 points per game on offense and Team B allows 100 points per game on defense in a league where the average points scored is 100, how many points is Team A expected to score vs Team B?

Two models. First is multiplicative linear where Expected points = (Team A * Team B)/league avg = (110*100)/100 = 110

second additive where (Team A - league average) + (Team B - league average) so (110-100) + (100-100) = 110

BUT these assume offense and defense are weighted equally and each control 50% of expected points. What if 66% of the expected points are weighted to be from the offense and defense only controls 33%?

I’m struggling how to use this weight in the equations. I have for example Team A*0.66 * Team B*0.33 / league average in the first equation but get 106.67 which is less than if they had equal weights.

sorry for long post.