:1 Using the estimated factor loadings, and your answers in bland t) obtain the residual matrix, given by Rii.''I'_ The correlation matrix below is from the assessment of 5 ratings of digitally enhanced face images based on 5 attributes- kindness, intelligence, happiness, likability and just/fairness. The following 5 scores constitute the data: X1 = Kind, X2 = Intelligent, X3 = Happy, X. = Likeable, Xs = Just/Fair, with corresponding correlation matrix R as below, 1.000 .296 .881 .995 .545 296 1.000 -.022 .326 .837 R = .881 -.022 1.000 .867 .130 995 .326 .867 1.000 .544 .545 .837 .130 .544 1.000 Eigenvalues of R are 3.263, 1.538, .168, .031, and 0.0001. The first 2 eigenvectors of Rare given by, .537 -.186 .288 .651 91 = .434 and e2 = -.473 537 -.169 390 .538 Using the maximum likelihood (ML) procedure the following estimated factor loadings were extracted: Loadings Variables Kind 969 -.231 Intelligent .519 .807 Happy .785 .587 Likeable .971 -.210 Just .704 667