(1) (20pts) Consider the following data set about US-Unemployment - % of the labor force (source: International Monetary Fund, World Economic Outlook Database, October 2021) Year 2000 2002 2003 2007 2008 US-unemployment 3,967 5,783 5,992 4,617 5,8 (a) (20pts) Find the interpolant for the data set. (b) (20pts) Using least squares adjust a cubic model. (c) (5pts) Using the interpolant and the quadratic model estimate the US-GPD- per- centage change for 2009 (2) Consider the following data set about US-GPD-dollars current prices in billions (source: International Monetary Fund, World Economic Outlook Database, October 2021) Year 2010 2012 2015 2017 GDP-dollars 15.048,98 16.253,95 18.206,03 19.479,63 (a) (20pts) Using method of least squares, find the linear model that best adjust to the given US-GDP-dollars data set. (b) (5pts) Using the linear model from (a), estimate the US-GDP-dollars for 2019. Is it ok to use it to predict the year 2020? Why? (1) (20pts) Consider the following data set about US-Unemployment - % of the labor force (source: International Monetary Fund, World Economic Outlook Database, October 2021) Year 2000 2002 2003 2007 2008 US-unemployment 3,967 5,783 5,992 4,617 5,8 (a) (20pts) Find the interpolant for the data set. (b) (20pts) Using least squares adjust a cubic model. (c) (5pts) Using the interpolant and the quadratic model estimate the US-GPD- per- centage change for 2009 (2) Consider the following data set about US-GPD-dollars current prices in billions (source: International Monetary Fund, World Economic Outlook Database, October 2021) Year 2010 2012 2015 2017 GDP-dollars 15.048,98 16.253,95 18.206,03 19.479,63 (a) (20pts) Using method of least squares, find the linear model that best adjust to the given US-GDP-dollars data set. (b) (5pts) Using the linear model from (a), estimate the US-GDP-dollars for 2019. Is it ok to use it to predict the year 2020? Why