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8/15/11
NFL by the Numbers
• One of the
biggest changes
to the new
Collective
Bargaining
Agreement is
with the minimum
salary structure.
This table
summarizes the
salary scale.
NFL by the Numbers
• The first column
counts the
number of
Completed
Seasons. A value
of zero is for a
rookie.
NFL by the Numbers
• The other
columns show
the minimum
salary (in
thousands of
dollars) for years
2011 to 2014.
NFL by the Numbers
• Let’s look at the
graph of the
salary data for
Completed
Seasons versus
the minimum
salary for 2011.
NFL by the Numbers
• This is an
example of a
discrete function,
where the values
along x and y
change in whole
number amounts.
NFL by the Numbers
• This is also an
example of a
step function,
which is much
easier to see by
connecting the
points.
NFL by the Numbers
• Let’s follow the
potential salary for
a player over the
first four years.
The player starts
in 2011 as a
rookie. The
highlighted
salaries are what
he earns in the
first four years.
NFL by the Numbers
• Here is a graph of
the salary data.
Note that it is a
linear function.
NFL by the Numbers
• This is the
equation for the
function.
NFL by the Numbers
• We can generate a
data table using
this function.
NFL by the Numbers
• Over a ten-year
period, the player
will earn nearly $8
million dollars.
NFL by the Numbers
• But what if a
player doesn’t last
10 years? This
table shows the
cumulative salary
for career lengths
up to 10 years.
NFL by the Numbers
• Here is a graph of
the data. Do you
see that it is a
nonlinear graph?
NFL by the Numbers
• A quadratic
regression shows
the equation that
fits the data.
NFL by the Numbers
• In order to get the
most salary
possible, it is in a
player’s best
interest to prolong
their career as
much as possible.
NFL by the Numbers
• To that end, the
new Collective
Bargaining
Agreement
includes some
procedures to
minimize player
injury, which
indirectly prolongs
a player’s career.
NFL by the Numbers
• Furthermore, the
new agreement
includes an
expanded pension
program, with the
teams contributing
for the first time in
league history.
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