Due to inflation, an item that cost $10,000 in 1980 cost $28,486 in 2015. Costs comparable to $10,000 in 1980 are shown in Table 43 for various years.

Let f(x) be the cost (in dollars) at x years since 1980 that is comparable to $10,000 in 1980.
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 (30). 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) = 25,000. What does it mean in this situation?

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Table 43 Costs Comparable to $10,000 in 1980 Comparable Cost (dollars) 10,000 13,058 15,862 18,495 20,898 23,701 26,463 28,486 Year 1980 1985 1990 1995 2000 2005 2010 2015