The percentages of Americans living below the poverty level are shown in Table 61 for various years.

Let p be the percentage of Americans living below the poverty level at t years since 1990.
a. Construct a scatterplot by hand.
b. Draw a linear model on your scatterplot.
c. Use your model to estimate the percentage in 2012. Did you perform interpolation or extrapolation?
d. Data for the years 2002€“2012 are shown in Table 62.Construct a scatterplot of the data by hand for the years 1993€“2012

e. Compute the error in the estimation for 2012 that you made in part (c). Explain why the estimate is so inaccurate.
f. Use the scatterplot that you constructed in part (d) to modify the model.

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Table 61 Percentages of Americans Living Below the Poverty Level Year Percent 1993 1994 1995 1996 1997 1998 1999 2000 15.1 14.5 13.8 13.7 13.3 12.7 119 113 Table 62 Percentages of Americans Living Below the Poverty Level Year Percent 2002 2004 2006 2008 2010 2012 12.1 12.7 13.3 13.2 15.3 15.0