Probability NFL Favorite Wins, Given Point Spread

I’m continuing my investigation of what we can infer from NFL point spreads.  I wrote a little code to compute the conditional probability of the favorite team winning, given the size of the point spread.  Here are the results.

probwin_exact_spread

As you can see, the game is essentially a tossup until the point spread is at least a fieldgoal.  Once the spread exceeds a touchdown, the favorite wins nearly 4/5 times.  In the rare instance that the point spread exceeds two touchdowns, then the favorite is a lock to win.

Here’s the raw data used to generate this plot.

    spread       wins      games    probwin
============================================
      0.00         21         47      44.68
      1.00         70        138      50.72
      1.50         60        123      48.78
      2.00         87        159      54.72
      2.50        126        249      50.60
      3.00        351        587      59.80
      3.50        225        360      62.50
      4.00        101        155      65.16
      4.50         71        120      59.17
      5.00         97        133      72.93
      5.50         99        142      69.72
      6.00        108        168      64.29
      6.50        154        226      68.14
      7.00        177        238      74.37
      7.50         85        123      69.11
      8.00         75         95      78.95
      8.50         70         85      82.35
      9.00         71         91      78.02
      9.50         79         98      80.61
     10.00         66         95      69.47
     10.50         55         67      82.09
     11.00         40         48      83.33
     11.50         23         27      85.19
     12.00         20         25      80.00
     12.50         28         34      82.35
     13.00         20         24      83.33
     13.50         34         44      77.27
     14.00         26         33      78.79
     14.50         14         16      87.50
     15.00          9          9     100.00
     15.50          9          9     100.00
     16.00         14         14     100.00
     16.50          3          3     100.00
     17.00          5          5     100.00
     17.50          6          7      85.71
     18.00          2          2     100.00
     18.50          1          1     100.00
     19.00          1          1     100.00
     19.50          2          2     100.00
     20.00          1          1     100.00
     21.00          1          1     100.00
     22.00          1          1     100.00
     24.00          2          2     100.00
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