Mean gasoline prices in Michigan are shown in Table 42 for various years.

Let f (x) be the mean gasoline price (in dollars) at x years since 2000.
a. Construct a scatterplot.
b. Find the linear regression equation for f. Does the graph of f come close to the data points?
c. Find f (13). What does it mean in this situation?
d. Find the residual for the estimate you made in part (c). What does it mean in this situation?
e. Find x when f (x) = 3.What does it mean in this situation?

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Table 42 Mean Gasoline Prices in Michigan Mean Gasoline Price (dollars) 1.568 385 1861 2.555 3.275 2.801 3.689 3.589 Year 2000 2002 2006 2008 2010 2012 2013