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THE BOOK--Playing The Percentages In Baseball

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Thursday, September 25, 2008

Who wants to run a regression for me?

By Tangotiger, 05:52 PM

Here’s the data:
Age PA1 PA2
24 2250 2100
28 2250 1900
32 2250 1400
36 2250 1000
24 1500 2000
28 1500 1300
32 1500 700
36 1500 350

Your job is to use the first two columns to estimate the third.  Ideally, we want no bias.

I was thinking of something on the order of:
a*(Age-b) + c*(PA^d)
I’ve tried
a=100, b=28, c=.83, d=1
a=100, b=28, c=36, d=0.5

I’m hoping someone can come up with the best combination of the above form.  Or, if you think you need to add an extra parameter, like PA*Age, or PA/Age, by all means, do so.

(25) Comments • 2008/10/01 • SabermetricsStatistical_Theory
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September 25, 2008
Who wants to run a regression for me?