Labor Force The total numbers of people 16 years of
age and over (in thousands) not in the U.S. civilian labor
force from 1998 through 2010 are given by the following
ordered pairs. (Spreadsheet at LarsonPrecalculus.com)
$$\begin{array}{ll}{(1998,67,547)} & {(2005,76,762)} \\ {(1999,68,385)} & {(2006,77,387)} \\ {(2000,69,994)} & {(2007,78,743)} \\ {(2001,71,359)} & {(2008,79,501)} \\ {(2002,72,707)} & {(2009,81,659)} \\ {(2003,74,658)} & {(2010,83,941)} \\ {(2004,75,956)}\end{array}$$
A linear model that approximates the data is
$y=1298.8 t+57,094,8 \leq t \leq 20,$ where $y$ represents
the total number of people 16 years of age and over (in
thousands) not in the U.S. civilian labor force and $t=8$
represents $1998 .$ Plot the actual data and the model on
the same set of coordinate axes. How closely does the
model represent the data? (Source: U.S. Bureau of
Labor Statistics)