2. [40 points] Given the US population data set "PopulationData.csv\" [4], determine a linear regression solution for the data. The data is for the US (total) population from 1950 to 2017 shifted to start in 1950 (that is, \"year 0\" is the year 1950). Do this by doing the following: in [5 points] Plot the data (scatter plot) using some plotting software or online tool. [10] Set up and solve (again, using software} the normal equations for the linear regression (least square} function. [5] Give the equation of the resulting line and plot it with the given data. 1992 42 257454.273 1993 43 260020.186 1994 44 262741.566 1995 45 265658.849 1996 46 268803.424 1997 47 272136.551 1998 48 275542.603 1999 49 278862.277 2000 50 281982.778 2001 51 284852.391 2002 52 287506.847 2003 53 290027.624 2004 54 292539.324 2005 55 295129.501 2006 56 297827.356 2007 57 300595.175 2008 58 303374.067 2009 59 306076.362 2010 60 308641.391 2011 61 311051.373 2012 62 313335.423 2013 63 315536.676 2014 64 317718.779 2015 65 319929.162 2016 66 322179.605 2017 67 324459.463Year Time Population 1950 158804.395 1951 160905.035 1952 163324.851 1953 165988.190 1954 168827.613 1955 171783.842 1956 174805.941 1957 177851.156 1958 180884.458 1959 183877.873 1960 10 186808.228 1961 11 189654.905 1962 12 192397.741 1963 13 195016.211 1964 14 197491.844 1965 15 199815.540 1966 16 201975.222 1967 17 203981.928 1968 18 205880.418 1969 19 207733.004 1970 20 209588.150 1971 21 211461.598 1972 22 213351.773 1973 23 215268.687 1974 24 217218.393 1975 25 219205.296 1976 26 221239.215 1977 27 223324.042 1978 28 225449.657 1979 29 227599.878 1980 30 229763.052 1981 31 231938.963 1982 32 234132.632 1983 33 236344.0041984 34 238573.861 1985 35 240824.120 1986 36 243098.935 1987 37 245402.864 1988 38 247739.582 1989 39 250113.187 1990 40 252529.950 1991 41 254974.819