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 = ( COMP ATT − .3 ) × 5 {\displaystyle a=\left({{\text{COMP}} \over {\text{ATT}}}-.3\right)\times 5}

b = ( YDS ATT − 3 ) × .25 {\displaystyle b=\left({{\text{YDS}} \over {\text{ATT}}}-3\right)\times .25}

c = ( TD ATT ) × 20 {\displaystyle c=\left({{\text{TD}} \over {\text{ATT}}}\right)\times 20}

d = 2.375 − ( INT ATT × 25 ) {\displaystyle d=2.375-\left({{\text{INT}} \over {\text{ATT}}}\times 25\right)}

where

<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:

Passer Rating = ( a + b + c + d 6 ) × 100 {\displaystyle {\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)