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# Linear and quadratic trend lines

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From 1997 through 2004, the value of US exports to Mexico was as shown below. Data are in billions of dollars.

Year: 1997 1998 1999 2000
Exports: \$71.4 \$78.8 \$86.9 \$111.3

Year: 2001 2002 2003 2004
Exports: \$101.3 \$97.5 \$97.4 \$110.8

a. Fit a linear trend equation to the time series. Using this equation, determine the trend estimate for 2012.
b. Fit a quadratic equation to the time series, then use the equation to determine the trend estimate for 2012.
c. Construct a graph of the time series along with the equations fitted in parts (a) and (b). Which equation appears to better fit the data?

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18.8
From 1997 through 2004, the value of U.S. exports to Mexico was as shown below. Data are in billions of dollars.
Year: 1997 1998 1999 2000 2001 202 2003 2004
Exports: \$71.4 \$78.8 \$86.9 \$111.3 \$101.3 \$97.5 \$97.4 \$110.8
a. Fit a ...

#### Solution Summary

A step by step solution is provided to explain the concept of linear and quadratic trend lines to the time series.

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