The dataset Education - Post 12th Standard

The dataset Education - Post 12th Standard.csv contains information on various colleges. You are expected to do a Principal Component Analysis for this case study according to the instructions given. The data dictionary of the 'Education - Post 12th Standard.csv' can be found in the following file: Data Dictionary.xlsx. • Perform Exploratory Data Analysis [both univariate and multivariate analysis to be performed]. What insight do you draw from the EDA? • Is scaling necessary for PCA in this case? Give justification and perform scaling. • Comment on the comparison between the covariance and the correlation matrices from this data. • Check the dataset for outliers before and after scaling. What insight do you derive here? [Please do not treat Outliers unless specifically asked to do so] • Perform PCA and export the data of the Principal Component scores into a data frame. • Extract the eigenvalues and eigenvectors.[print both] • Write down the explicit form of the first PC (in terms of the eigenvectors. Use values with two places of decimals only). • Consider the cumulative values of the eigenvalues. How does it help you to decide on the optimum number of principal components? What do the eigenvectors indicate? • Explain the business implication of using the Principal Component Analysis for this case study. How may PCs help in the further analysis? [Hint: Write Interpretations of the Principal Components Obtained]