# Quadratic Function Models

Consider the following table of the number of Americans
that are over 100 in

various years.

Year | Number (in 1000’s) |

1994 1996 1998 2000 2002 2004 |
50 56 65 75 94 110 |

How many would you predict would be over 100 in 208?

Let’s plot the data in our calculator , using L_{1} for Year and L_{2} for Number.

Set a WINDOW of [1992, 2008] × [0, 180].

The data is more curved than linear , but not so much that
linear regression is

not an option. The line of best fit for linear regression is

y = 6.057x − 12.033.229

or

f(x) = 6.057x − 12.033.229.

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