11.17. The lengths. widths. and heights (in millimeters) of 24 male painted turtles

[Jolicoeur and Mosimann (1960)] are given below. Find the (sample) principd components and their variances

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Case Case No. Length Width Height No. Length Width Height 1 93 74 37 13 116 90 43 123456789012 94 78 35 14 117 90 41 96 80 35 15 117 91 41 101 84 39 16 119 93 41 102 85 38 17 120 89 40 103 81 37 18 120 93 44 104 83 39 19 121 95 42 106 83 39 20 125 93 45 107 82 38 112 89 40 113 88 40 114 86 40 2222 21 127 96 45 128 23 131 24 135 228 95 46 95 46 106 47