The following table gives the personal savings (in billions of dollars) in the United States for selected years. '_ Personal Savings Year (billions) 2005 $153.8 2010 189.3 2011 ' 187.5 2012 142.0 2013 155.7 2014 152.1 2015 \" 175.6 2016 [ 199.6 " 1. Use your calculator or website to find the cubic regression equation Use the Year 2005 as Year 0 for the data. 2. Graph the regression equation and the data. Is the regression equation a good t to the data? 3. Find a function that models the instantaneous rate of change of personal savings. Find the instantaneous rate of change of personal savings in the year 2011. Find the average rate of change between the years 2010 and 2012 Interpret questions 4 and 5 on the graph. Find the point of inflection of the regression equation and interpret what it means. 5'99\