Passer Rating worksheet

1. Passer rating: 121.2

1. Score the completions: take the share of passes caught, subtract 0.3 and multiply by 5 (above the 2.375 cap, so it counts as 2.375)

   $\left(\frac{22}{26}-0.3\right)\times 5$$=2.730769\text{→}2.375$

2. Score the yards: take yards per attempt, subtract 3 and multiply by 0.25

   $\left(\frac{280}{26}-3\right)\times 0.25$$=1.942308$

3. Score the touchdowns: take touchdowns per attempt and multiply by 20

   $\frac{2}{26}\times 20$$=1.538462$

4. Score the interceptions: start at 2.375 and take off 25 times the interceptions per attempt

   $2.375-\frac{1}{26}\times 25$$=1.413462$

5. Add the four scores, divide by 6 and multiply by 100 to put the rating on its usual scale

   $\frac{2.375+1.942308+1.538462+1.413462}{6}\times 100$$=\frac{7.269231}{6}\times 100$$=121.153846$

2. Passer rating: 98.4

1. Score the completions: take the share of passes caught, subtract 0.3 and multiply by 5

   $\left(\frac{16}{24}-0.3\right)\times 5$$=1.833333$

2. Score the yards: take yards per attempt, subtract 3 and multiply by 0.25

   $\left(\frac{275}{24}-3\right)\times 0.25$$=2.114583$

3. Score the touchdowns: take touchdowns per attempt and multiply by 20

   $\frac{2}{24}\times 20$$=1.666667$

4. Score the interceptions: start at 2.375 and take off 25 times the interceptions per attempt

   $2.375-\frac{2}{24}\times 25$$=0.291667$

5. Add the four scores, divide by 6 and multiply by 100 to put the rating on its usual scale

   $\frac{1.833333+2.114583+1.666667+0.291667}{6}\times 100$$=\frac{5.90625}{6}\times 100$$=98.4375$

3. Passer rating: 108.6

1. Score the completions: take the share of passes caught, subtract 0.3 and multiply by 5

   $\left(\frac{24}{35}-0.3\right)\times 5$$=1.928571$

2. Score the yards: take yards per attempt, subtract 3 and multiply by 0.25

   $\left(\frac{275}{35}-3\right)\times 0.25$$=1.214286$

3. Score the touchdowns: take touchdowns per attempt and multiply by 20

   $\frac{3}{35}\times 20$$=1.714286$

4. Score the interceptions: start at 2.375 and take off 25 times the interceptions per attempt

   $2.375-\frac{1}{35}\times 25$$=1.660714$

5. Add the four scores, divide by 6 and multiply by 100 to put the rating on its usual scale

   $\frac{1.928571+1.214286+1.714286+1.660714}{6}\times 100$$=\frac{6.517857}{6}\times 100$$=108.630952$

4. Passer rating: 102.3

1. Score the completions: take the share of passes caught, subtract 0.3 and multiply by 5

   $\left(\frac{23}{32}-0.3\right)\times 5$$=2.09375$

2. Score the yards: take yards per attempt, subtract 3 and multiply by 0.25

   $\left(\frac{250}{32}-3\right)\times 0.25$$=1.203125$

3. Score the touchdowns: take touchdowns per attempt and multiply by 20

   $\frac{2}{32}\times 20$$=1.25$

4. Score the interceptions: start at 2.375 and take off 25 times the interceptions per attempt

   $2.375-\frac{1}{32}\times 25$$=1.59375$

5. Add the four scores, divide by 6 and multiply by 100 to put the rating on its usual scale

   $\frac{2.09375+1.203125+1.25+1.59375}{6}\times 100$$=\frac{6.140625}{6}\times 100$$=102.34375$

5. Passer rating: 106.3

1. Score the completions: take the share of passes caught, subtract 0.3 and multiply by 5

   $\left(\frac{18}{28}-0.3\right)\times 5$$=1.714286$

2. Score the yards: take yards per attempt, subtract 3 and multiply by 0.25

   $\left(\frac{280}{28}-3\right)\times 0.25$$=1.75$

3. Score the touchdowns: take touchdowns per attempt and multiply by 20

   $\frac{2}{28}\times 20$$=1.428571$

4. Score the interceptions: start at 2.375 and take off 25 times the interceptions per attempt

   $2.375-\frac{1}{28}\times 25$$=1.482143$

5. Add the four scores, divide by 6 and multiply by 100 to put the rating on its usual scale

   $\frac{1.714286+1.75+1.428571+1.482143}{6}\times 100$$=\frac{6.375}{6}\times 100$$=106.25$

6. Passer rating: 90.3

1. Score the completions: take the share of passes caught, subtract 0.3 and multiply by 5

   $\left(\frac{18}{34}-0.3\right)\times 5$$=1.147059$

2. Score the yards: take yards per attempt, subtract 3 and multiply by 0.25

   $\left(\frac{300}{34}-3\right)\times 0.25$$=1.455882$

3. Score the touchdowns: take touchdowns per attempt and multiply by 20

   $\frac{2}{34}\times 20$$=1.176471$

4. Score the interceptions: start at 2.375 and take off 25 times the interceptions per attempt

   $2.375-\frac{1}{34}\times 25$$=1.639706$

5. Add the four scores, divide by 6 and multiply by 100 to put the rating on its usual scale

   $\frac{1.147059+1.455882+1.176471+1.639706}{6}\times 100$$=\frac{5.419118}{6}\times 100$$=90.318627$

7. Passer rating: 91.7

1. Score the completions: take the share of passes caught, subtract 0.3 and multiply by 5

   $\left(\frac{18}{30}-0.3\right)\times 5$$=1.5$

2. Score the yards: take yards per attempt, subtract 3 and multiply by 0.25

   $\left(\frac{225}{30}-3\right)\times 0.25$$=1.125$

3. Score the touchdowns: take touchdowns per attempt and multiply by 20

   $\frac{2}{30}\times 20$$=1.333333$

4. Score the interceptions: start at 2.375 and take off 25 times the interceptions per attempt

   $2.375-\frac{1}{30}\times 25$$=1.541667$

5. Add the four scores, divide by 6 and multiply by 100 to put the rating on its usual scale

   $\frac{1.5+1.125+1.333333+1.541667}{6}\times 100$$=\frac{5.5}{6}\times 100$$=91.666667$

8. Passer rating: 108

1. Score the completions: take the share of passes caught, subtract 0.3 and multiply by 5

   $\left(\frac{15}{24}-0.3\right)\times 5$$=1.625$

2. Score the yards: take yards per attempt, subtract 3 and multiply by 0.25

   $\left(\frac{250}{24}-3\right)\times 0.25$$=1.854167$

3. Score the touchdowns: take touchdowns per attempt and multiply by 20

   $\frac{2}{24}\times 20$$=1.666667$

4. Score the interceptions: start at 2.375 and take off 25 times the interceptions per attempt

   $2.375-\frac{1}{24}\times 25$$=1.333333$

5. Add the four scores, divide by 6 and multiply by 100 to put the rating on its usual scale

   $\frac{1.625+1.854167+1.666667+1.333333}{6}\times 100$$=\frac{6.479167}{6}\times 100$$=107.986111$

9. Passer rating: 93.1

1. Score the completions: take the share of passes caught, subtract 0.3 and multiply by 5 (above the 2.375 cap, so it counts as 2.375)

   $\left(\frac{22}{26}-0.3\right)\times 5$$=2.730769\text{→}2.375$

2. Score the yards: take yards per attempt, subtract 3 and multiply by 0.25

   $\left(\frac{205}{26}-3\right)\times 0.25$$=1.221154$

3. Score the touchdowns: take touchdowns per attempt and multiply by 20

   $\frac{2}{26}\times 20$$=1.538462$

4. Score the interceptions: start at 2.375 and take off 25 times the interceptions per attempt

   $2.375-\frac{2}{26}\times 25$$=0.451923$

5. Add the four scores, divide by 6 and multiply by 100 to put the rating on its usual scale

   $\frac{2.375+1.221154+1.538462+0.451923}{6}\times 100$$=\frac{5.586538}{6}\times 100$$=93.108974$

10. Passer rating: 115.2

1. Score the completions: take the share of passes caught, subtract 0.3 and multiply by 5

   $\left(\frac{21}{28}-0.3\right)\times 5$$=2.25$

2. Score the yards: take yards per attempt, subtract 3 and multiply by 0.25

   $\left(\frac{280}{28}-3\right)\times 0.25$$=1.75$

3. Score the touchdowns: take touchdowns per attempt and multiply by 20

   $\frac{2}{28}\times 20$$=1.428571$

4. Score the interceptions: start at 2.375 and take off 25 times the interceptions per attempt

   $2.375-\frac{1}{28}\times 25$$=1.482143$

5. Add the four scores, divide by 6 and multiply by 100 to put the rating on its usual scale

   $\frac{2.25+1.75+1.428571+1.482143}{6}\times 100$$=\frac{6.910714}{6}\times 100$$=115.178571$