The mean prices of high school lunches are shown in Table 69 for various years.

Let y be the mean price (in dollars) of high school lunches at x years since 2000.
a. Construct a scatterplot.
b. Describe the four characteristics of the association. Compute and interpret r as part of your analysis.
c. Find the linear regression equation. Graph it on the scatter plot.
d. Construct a residual plot. Does it support any of the conclusions you made in part (b)? If so, which one(s)?
e. Find the coefficient of determination. What does it mean in this situation?

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Table 69 Mean Prices of High School Lunches Year 2003 2005 2007 2009 2011 2013 Mean Price dollars) 1.66 1.77 1.90 2.13 2.20 2.42