1. The following table shows data on new motor vehicle sales and the real personal disposable income per person in Canada between 1981 and 2001. New motor vehicle sales Year (units) Real personal disposable income per person (1992 S) 1981 1190882 16368 1982 920902 16107 1983 1081088 15765 1984 1283502 16252 1985 1530410 16710 1986 1515920 16747 1987 1533637 16856 1988 1565501 17443 1989 1483875 17875 1990 1317869 17756 1991 1287790 17164 1992 1227419 17096 1993 1192934 17016 1994 1260056 17000 1995 1166535 17047 17 1996 1997 1204557 1424380 16861 16994 1998 1999 2000 2001 1428932 1542041 1587561 1597949 17334 17735 18068 18185 a) Using SPSS, estimate a simple linear regression model and find the value of the parameters for the estimation of new motor vehicle sales from real disposable income per person [4 marks] b) Interpret the intercept and the slope coefficients [2 marks] c) State the correlation coefficient and the coefficient of determination. Interpret the coefficient of determination (4 marks] d) Confirm the intercept, slope and correlation coefficient by computing them without SPSS. [5 marks] Note: All SPSS input files and output tables should be provided 1. The following table shows data on new motor vehicle sales and the real personal disposable income per person in Canada between 1981 and 2001. New motor vehicle sales Year (units) Real personal disposable income per person (1992 S) 1981 1190882 16368 1982 920902 16107 1983 1081088 15765 1984 1283502 16252 1985 1530410 16710 1986 1515920 16747 1987 1533637 16856 1988 1565501 17443 1989 1483875 17875 1990 1317869 17756 1991 1287790 17164 1992 1227419 17096 1993 1192934 17016 1994 1260056 17000 1995 1166535 17047 17 1996 1997 1204557 1424380 16861 16994 1998 1999 2000 2001 1428932 1542041 1587561 1597949 17334 17735 18068 18185 a) Using SPSS, estimate a simple linear regression model and find the value of the parameters for the estimation of new motor vehicle sales from real disposable income per person [4 marks] b) Interpret the intercept and the slope coefficients [2 marks] c) State the correlation coefficient and the coefficient of determination. Interpret the coefficient of determination (4 marks] d) Confirm the intercept, slope and correlation coefficient by computing them without SPSS. [5 marks] Note: All SPSS input files and output tables should be provided