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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 L1 for Year and L2 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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