The percentages of Americans who are satisfied with the way things are in the United States are shown in Table 59 for various years.

Let p be the percentage of Americans at t years since 1990 who are satisfied with the way things are.
a. Construct a scatterplot by hand and draw a linear model on the scatterplot.
b. Use your model to estimate the percentage of Americans who were satisfied in 2006. Did you perform interpolation or extrapolation?
c. Data for the years 2000€“2011 are shown in Table 60. Construct a scatterplot of the data for the years 1992€“2011.

d. Compute the error in the estimation for 2006 that you made in part (b). Explain why the error in your estimate is so large.
e. Use the scatterplot that you constructed in part (c) to modify the model.

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Table 59 Percentages of Americans Who Are Satisfied Year Percent 1992 1993 1994 1995 1996 1997 1998 1999 21 28 32 39 49 60 59 Table 60 Percentages of Americans Who Are Satisfied Year Percent 2000 2002 2004 2006 2008 2011 60 52 43 31 20