Question

2. Course Evaluation data consisted ofn-32 MBA students for a basic statistics class. From the correlation matrix the following principle components were extracted. 4 6 _Variable Presentation Ability to stimulate interest Knowledge of material Interest in students Objectivity Overall evaluation of instructor0.5 eigenvalue 0.42 0.430.49 0.070.25-0.57 0.4 0.37 -0.66 -0.25 -0.4 -0.20 0.27 0.55 0.31 0.67 -0.24 -0.13 0.40 -0.45 0.43 0.12 0.65 -0.11 0.4 0.330.13 0.67 0.51 0.012 0.26 0.18 0.12 0.15 0.78 3.20 1.500.550.450.22 0.08 Interpret as many components as appear to explain appreciable proportions of the total variance. Reproduce the correlation matrix from which these principle components were extracted a. b.

Answer 1

Solution :

Given that

From the correlation matrix the following principle component were extracted.

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