6. (15 marks)In a study of poverty, crime and deterrence, Parker and Smith report summary statistics in various states f
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6. (15 marks)In a study of poverty, crime and deterrence, Parker and Smith report summary statistics in various states for the year 1970 and 1973. A portion of their sample correlation matrix is R Ꭱ11 Ꭱ12 R21 R22 1 .615 -.111 -.266 .615 1 -.195 .085 -.111 .266 -.195 -.085 1 -.269 -269. 1 where R11 and R22 are 2 x 2 matrics and R12 = R21 is a 2 x 2 matrix. The variables are x() X.LV) x2) x2) 1973 nonprimary homicides 1973 primary homicides(homicides involving family or acquaintances) 1970 severity of punishment(median month served) 1970 certainty of punishment (number of admissions to prison divided by number of homicides) (a) Find the sample canonical correlations, and determine the first canonical variates. (5 marks) (b) Determine the first canonical pair Úl, Ñ1. (5 marks) (c) Interpret your results. (5 marks) END