Table gives the amount of federal spending in billions of dollars for national defense for several years.

(a) Find the average rate of change in spending from 1990 to 1995.
(b) Find the average rate of change in spending from 2000 to 2001.
(c) Find the average rate of change in spending from 2002 to 2003.
(d) Let x = 0 represent 1990, x = 1 represent 1991, and so forth. Find the quadratic regression equation for the data and superimpose its graph on a scatter plot of the data.
(e) Compute the average rates of change in parts (a), (b), and (c) using the regression equation.
(f) Use the regression equation to find how fast the spending was growing in 2003.
(g) Explain why someone might be hesitant to make predictions about the rate of change of national defense spending based on this equation.

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Table 2.2 National Defense Spending Year 1990 1995 1999 2000 2001 2002 2003 National Defense Spending ($ billions) 299.3 272.1 274.9 294.5 305.5 348.6 404.9