Everybody be bitchin’ last offseason
Here is a scatter plot of player APRs compared to salaries. I’ve overlayed a smooth trendline and a linear trendline.
You can listen to Wolf’s biased argument all you want (or more like all you don’t want) about what his “3 year average” salary was, but the evidence is here showing what players of specific APRs actually have made historically in franchise. An exponential model appears to better fit the data, but a linear model is closer to what we’ve done in the past so I think fair to implement.
The regression equation for the linear model is y = 0.625x + -11.08 with a correlation coefficient of r = 0.7062958.
When you plug in the midpoint values for our original ranges of APRs that correspond to specific cap hits, the regression equation gives these salaries:
## APR Ranges Midpoints Dollars
## 1 Below 19.9 17.5 -0.1425
## 2 20-24.9 22.5 2.9825
## 3 25-29.9 27.5 6.1075
## 4 30-34.9 32.5 9.2325
## 5 35-39.9 37.5 12.3575
## 6 40-44.9 42.5 15.4825
## 7 45-49.9 47.5 18.6075
## 8 50-54.9 52.5 21.7325
## 9 55-59.9 57.5 24.8575
So maybe Kuz really is a $0 captain???
I propose that we implement the table of salaries below. It basically rounds all of the expected salaries to the nearest dollar and rounds down for the three highest tiers. Any captain with an APR of 60+ should either be $27 or not allowed. (I think Wolf will fall under that limit this season.)
## APR Ranges Dollars
## 1 Below 19.9 1
## 2 20-24.9 3
## 3 25-29.9 6
## 4 30-34.9 9
## 5 35-39.9 12
## 6 40-44.9 15
## 7 45-49.9 18
## 8 50-54.9 21
## 9 55-59.9 24