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Reply to "NFL 2019"

 A perfect quarterback rating in the NFL is 158.3.   You know how a perfect wine rating is 100? Well, wouldn't it make more sense to have a perfect QB rating be 100.  I mean, 158.3 is a pretty weird number.

Here is the gobbledygook from which the rating is derived:  (This is from Wikipedia) - If you get to the bottom of this without getting a headache then you are either a true football fan, a geek, a math genius, or seriously mentally ill.


"The NFL passer rating formula includes four variables: completion percentage, yards per attempt, touchdowns per attempt, and interceptions per attempt. Each of those variables is scaled to a value between 0 and 2.375, with 1.0 being statistically average (based on league data between 1960–1970). When the formula was first created, a 66.7 rating indicated an average performance, and a 100+ rating indicated an excellent performance.[3] However, passing performance has improved steadily since then and in 2017 the league average rating was 88.6.[4]

The four separate calculations can be expressed in the following equations:


a=\left[{{\text{COMP}} \over {\text{ATT}}}-.3\right)\times 5

b=\left[{{\text{YDS}} \over {\text{ATT}}}-3\right)\times .25

c=\left[{{\text{TD}} \over {\text{ATT}}}\right)\times 20

d=2.375-\left[{{\text{INT}} \over {\text{ATT}}}\times 25\right)


<dl><dd>ATT = Number of passing attempts</dd><dd>COMP = Number of completions</dd><dd>YDS = Passing yards</dd><dd>TD = Touchdown passes</dd><dd>INT = Interceptions</dd></dl>

If the result of any calculation is greater than 2.375, it is set to 2.375. If the result is a negative number, it is set to zero.

Then, the above calculations are used to complete the passer rating:

{\text{Passer Rating}}=\left[{a+b+c+d \over 6}\right)\times 100

A perfect passer rating (158.3) requires at least:[1]A minimum rating (0.0) requires at best:

77.5% completion percentage
12.5 yards per attempt
11.875% TD/ATT (1 TD/8.421ATT)
No interceptions

30.0% completion percentage
3.0 yards per attempt
No touchdowns
9.5% INT/ATT (1INT/10.526ATT)