Consumer Spending in Billions Year Credit Cards Debit Cards Total 2000 5 8.3 13.3 2001 7.2 9 16.2 2002 9 12 21 2003 11.5 15.6 27.1 2004 10.6 16 26.6 2005 15.8 22 37.8 2006 18 25 43 2007 23 21 44 2008 22 26 48 2009 20.7 37.5 58.2 2010 21.2 43.9 65.1 2011 24 45 69 2012 26 47 73 2013 31 22 53 2014 2015 31.9 33.8 50 69.5 81.9 103.3 110 82.5 Credit Cards Debit Car 55 value in Billions 27.5 0 1995 2002.5 Source:https://www.bloomberg.com/news/articles/2017-06-26/the-credit-card-rewards-war-rages-are-you-the-loser 1 2010 2017.5 Credit Cards Debit Cards 2017.5 2 Consumer Spending in Billions Year Credit CardDebit Cards Total 2000 5 8.3 13.3 2001 7.2 9 16.2 2002 9 12 21 2003 11.5 15.6 27.1 2004 10.6 16 26.6 2005 15.8 22 37.8 2006 18 25 43 2007 23 21 44 2008 22 26 48 2009 20.7 37.5 58.2 2010 21.2 43.9 65.1 2011 24 45 69 2012 26 47 73 2013 31 22 53 2014 31.9 50 81.9 2015 33.8 69.5 103.3 Year Total 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 13.3 16.2 21 27.1 26.6 37.8 43 44 48 58.2 65.1 69 73 53 81.9 103.3 1,2) 120 100 80 T o t a l 4) 110 82.5 Credit Cards 27.5 0 1995 2002.5 2010 40 20 0 1998 3) 55 value in Billions 60 2017.5 5) 20 120 100 80 T o t a l f(x) = 5.0766176471x - 10142.5286764706 60 40 20 0 1998 2000 2002 2004 2006 2008 2010 2012 2014 2016 Year Trendline is y=5.076x-10143 slope of trendline=5.076 slope using points (2000,13.3) and (2001,16.2) slope= 2.9 slope using points (2004,26.6) and (2012,73) slope= 5.8 slope using points (2002,21) and (2014,81.9) slope= 5.075 from these slopes we conclude that slope of trendline is near to acctual slope of line. we have to find value of y for x=2020 and x=2025 when x=2020; y=5.076*2020-10143=110.52 when x=2025; y=5.076*2025-10143=135.90 6) Clearly, all data points fall on the trendline. Therefore, data follows a linear trend. Consumer Spending in Billions Year Credit CardDebit Cards Total 2000 5 8.3 13.3 2001 7.2 9 16.2 2002 9 12 21 2003 11.5 15.6 27.1 2004 10.6 16 26.6 2005 15.8 22 37.8 2006 18 25 43 2007 23 21 44 2008 22 26 48 2009 20.7 37.5 58.2 2010 21.2 43.9 65.1 2011 24 45 69 2012 26 47 73 2013 31 22 53 2014 31.9 50 81.9 2015 33.8 69.5 103.3 Year Total 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 13.3 16.2 21 27.1 26.6 37.8 43 44 48 58.2 65.1 69 73 53 81.9 103.3 1,2) 120 100 80 T o t a l 4) 110 82.5 Credit Cards 27.5 0 1995 2002.5 2010 40 20 0 1998 3) 55 value in Billions 60 2017.5 5) 20 120 100 80 T o t a l f(x) = 5.0766176471x - 10142.5286764706 60 40 20 0 1998 2000 2002 2004 2006 2008 2010 2012 2014 2016 Year Trendline is y=5.076x-10143 slope of trendline=5.076 slope using points (2000,13.3) and (2001,16.2) slope= 2.9 slope using points (2004,26.6) and (2012,73) slope= 5.8 slope using points (2002,21) and (2014,81.9) slope= 5.075 from these slopes we conclude that slope of trendline is near to acctual slope of line. we have to find value of y for x=2020 and x=2025 when x=2020; y=5.076*2020-10143=110.52 when x=2025; y=5.076*2025-10143=135.90 6) Clearly, all data points fall on the trendline. Therefore, data follows a linear trend