2. University Rankings. The dataset on American college and university rankings (available from blackborad) contains information on 1302 American colleges and universities offering an undergraduate program. For each university there are 17 measurements that include continuous measurements (such as tuition and graduation rate) and categorical measurements (such as location by state and whether it is a private or a public school). a) Remove all categorical variables. Then remove all records with missing numerical measurements from the dataset (by creating a new object). You only need to write down the R code and the rst 3 rows of the new dataset. b) Conduct a principal components analysis on the cleaned data and comment on the results. Write done the rst couple of new variables which are the linear combination of original variables. 0} Should the data be normalized? Discuss what characterizes the components you consider key. Perform PCA on normalized data. Write down the new components and compare this result with b)