Question: After applying Principal Component Analysis (PCA) on five variables from the Breakfast Cereals dataset (calories, protein, fat, sodium, and fiber), the importance of components are
After applying Principal Component Analysis (PCA) on five variables from the Breakfast Cereals dataset (calories, protein, fat, sodium, and fiber), the importance of components are as listed PC1 has the following Standard deviation is 84.0474 Proportion of Variance is 0.9526 Cumulative Proportion is 0.9526 PC2 has the following Standard deviation is 18.55527 Proportion of Variance is .04643 Cumulative Proportion is 0.99904 PC3 has the following Standard deviation is 2.37106 Proportion of Variance is 0.00076 Cumulative Proportion is 0.9998 PC4 has the following Standard deviation is .91753 Proportion of Variance is 0.00011 Cumulative Proportion is 0.99991 PC5 has the following Standard deviation is .80417 Proportion of Variance is 0.00009 Cumulative Proportion is 1 The rotation matrix is PC1 has the following Calories is 0.073 protein is -0.001 Fat is 0.000 Sodium is 0.997 Fiber is -0.002 PC2 has the following Calories is 0.996 protein 0.002 Fat is 0.028 Sodium is -0.073 Fiber is -0.037 PC3 has the following Calories is -0.032 protein -0.289 Fat is -0.091 Sodium is 0.000 Fiber is -0.952 PC4 has the following Calories is 0.027 protein -0.821 Fat is -0.489 Sodium is -0.002 Fiber is 0.295 PC5 has the following Calories is 0.021 protein 0.493 Fat is -0.867 Sodium is -0.001 Fiber is -0.067 The mean of the five variables are as follows Calories is 106.883 protein is 2.545 fat is 1.013 sodium is 159.675 fiber is 2.152 Data of three Breakfast Cereals products are given Cereal Product Crispix calories is 110 protein is 2 fat is 0 sodium is 220 fiber is 1 Cereal Product Cheerios calories is 110 protein is 6 fat is 2 sodium is 290 fiber is 2 Cereal Product Total Raisin Bran calories is 140 protein is 3 fat is 1 sodium is 190 fiber is 4 The value of PC1 of Crispix is ? The value of PC2 of Crispix is ? The value of PC1 of Cheerios is ? The value of PC2 of Cheerios is ? The value of PC1 of Total_Raisin_Bran is ? The value of PC2 of Total_Raisin_Bran is ?
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
