Answer the following questions based on the data given above. a. What is the total variance in the dataset? Explain how you arrived at your answer. How many principal components will we keep if our threshold for selection is 90%. Explain how you arrived at your answer. What percentage of the total variance in the original dataset will be retained if we keep the first three principal components? Assuming we will keep only the first three principal components, transform the first five observations in the dataset and list them out in a table