Estimating Average Rate of Change from Data Table 11 9 gives the U S gross domestic product data in billions of dollars for the years 2004 2012 Table 11 9 U S Gross Domestic Product Data Year Amount billions of dollars 2004 10 908 2005 11 631 2006 12 364 2007 13 362 2008 13 995 2009 14 297 2010 14 044 2011 14 582 2012 15 094 Source http www tradingeconomics com united states gdp a Find the average rate of change of the gross domestic product from 2006 to 2007 and then from 2010 to 2011 b Find a quadratic regression model for the data in Table 11 9 and overlay its graph on a scatter plot of the data Let x 0 stand for 2004 x 1 stand for 2005 and so forth e Use the model in part b and a calculator NDER computation to estimate the rate of change of the gross domestic product in 2006 and in 2010