(@) The first three moments of a distribution about the value 2 of a variable are 1, 16 and-40. Show that the mean is 3, the variance is 15 and ps= -86. Also show that the first three moments about X=0 are 3,24and 76. [9 Marks] (b) The following table gives indices of industrial production of registered unemployed (in hundred thousand) Year: 2000 2001 2002 2003 2004 2005 2006 2007 Index of Production 100 102 104 107 105 112 103 99 No. unemployed 15 12 13 11 12 12 19 26 Required: Identify the dependent and the independent variables [2 Marks] ii. By first computing the regression coefficient "a" and "b", state the regression equation of y on x. [5 Marks] iii. Sketch your results in (ifi ) above [3 Marks]