1. A pair of mean corrected and standardised variables X and Y are correlated with a negative Pearson's correlation coefficient of -0.1923 . You are also given that the variances of X and Y are 23.6 and 26.4 respectively. (a) Find the covariance matrix (b) Show that the following two vectors are principal axes for X and Y X = 0.6 0.8 0.8 0.6 (c) What is the maximum percentage of the total variance explained by a single principal component