代做ALY3015 Assignment 4代写Web开发

ALY3015 Assignment 4

For the dataset “mtcars” dataset within R,

i) Perform. PCA on the centered dataset without the “mpg” variable. Which variables would you exclude from the dataset prior to doing PCA? Plot the screeplot and the biplot of the PCA results. Describe the findings from both plots (15 points)

ii) What fraction of total variation is explained by the 1^st PC? Which variables have top 3 positive and negative loadings on the 1^st PC? Describe your findings. (10 points)

iii) Calculate correlation between “mpg” variable and all PC’s. State one conclusion from your findings from question ii and iii (5 points)