40. Population of California Table 1.12 gives the population of California for several years. TABLE 1.12 Population of California Year Population (thousands) 1980 23,668 1990 29,811 1995 31,697 1998 32,988 1999 33,499 2000 33,872 Source: Statistical Abstract of the United States, 2004-2005. (a) Let x = Find an exponential regression for the data, and superimpose its graph on a scatter plot of the data. O represent 1980, x = 1 represent 1981, and so forth. %3D %3D (b) Use the exponential regression equation to estimate the pop- ulation of California in 2003. How close is the estimate to the actual population of 35,484,000 in 2003? (c) Use the exponential regression equation to estimate the annual rate of growth of the population of California.

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40. Population of California Table 1.12 gives the population of
California for several years.
TABLE 1.12 Population of California
Year
Population (thousands)
1980
23,668
1990
29,811
1995
31,697
1998
32,988
1999
33,499
2000
33,872
Source: Statistical Abstract of the United States, 2004-2005.
(a) Let x =
Find an exponential regression for the data, and superimpose
its graph on a scatter plot of the data.
O represent 1980, x = 1 represent 1981, and so forth.
%3D
%3D
(b) Use the exponential regression equation to estimate the pop-
ulation of California in 2003. How close is the estimate to
the actual population of 35,484,000 in 2003?
(c) Use the exponential regression equation to estimate the annual
rate of growth of the population of California.
Transcribed Image Text:40. Population of California Table 1.12 gives the population of California for several years. TABLE 1.12 Population of California Year Population (thousands) 1980 23,668 1990 29,811 1995 31,697 1998 32,988 1999 33,499 2000 33,872 Source: Statistical Abstract of the United States, 2004-2005. (a) Let x = Find an exponential regression for the data, and superimpose its graph on a scatter plot of the data. O represent 1980, x = 1 represent 1981, and so forth. %3D %3D (b) Use the exponential regression equation to estimate the pop- ulation of California in 2003. How close is the estimate to the actual population of 35,484,000 in 2003? (c) Use the exponential regression equation to estimate the annual rate of growth of the population of California.
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