Show transcribed image text Question 3(4 Points): In a study of poverty, crime and deterrence, Parker and Smith report certain crime statistics in various states for the 1970 and 1973. A portion of their summary sample correlation matrix ) is: between-X11), X21) and X12), RR21 R22 with 1.00 269 一.269 1.00 1.00 .615 -.111266 -.195-085 11-1.615 1.00] ; R12= R12.195085 and R22= Tho eig nvalues of Rii 1/2)RuR99 i Rai RI-1/2) are λǐ s l 1007, λ 0.0293 corre mponding to the eigenvector ei = (0.9463,0.3232)', e,-( 0.3232 0.9463 , respectively. Also, the eigenvalues of R221/2)R21 R111)Ri2R221/2) are λ,-0.1067, λ2 = 0.0293 corresponding to the eigenvectors fi (0.4634, 0.8861)', f (-0.8861,0.4634). In addition; R(-1/2)=[ 1.0287-141 141 1.0287 ad R)1.1993 4124 Using these information answer the following questions (a) Determine the first pair of canonical variates (U, and Vi). (3 Points)
Question 3(4 Points): In a study of poverty, crime and deterrence, Parker and Smith report certain crime statistics in various states for the 1970 and 1973. A portion of their summary sample correlation matrix ) is: between-X11), X21) and X12), RR21 R22 with 1.00 269 一.269 1.00 1.00 .615 -.111266 -.195-085 11-1.615 1.00] ; R12= R12.195085 and R22= Tho eig nvalues of Rii 1/2)RuR99 i Rai RI-1/2) are λǐ s l 1007, λ 0.0293 corre mponding to the eigenvector ei = (0.9463,0.3232)', e,-( 0.3232 0.9463 , respectively. Also, the eigenvalues of R221/2)R21 R111)Ri2R221/2) are λ,-0.1067, λ2 = 0.0293 corresponding to the eigenvectors fi (0.4634, 0.8861)', f (-0.8861,0.4634). In addition; R(-1/2)=[ 1.0287-141 141 1.0287 ad R)1.1993 4124 Using these information answer the following questions (a) Determine the first pair of canonical variates (U, and Vi). (3 Points)
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