Imagine that you have run PCA on data gathered from one of the questionnaires gathered by the car manufacturer in which 10000 people gave their age, gender, country of residence and the car model they purchased.

i) [1pt] You find that all N eigenvectors (N=dimensionality of the dataset) covers the same % of the data variance. What is N here? What is this % of variance?

ii)[1pt] How would you interpret the results in i? What if 1 eigenvector cover 99% of the data variance.