The following data matrix represents measurements in centimetres on three variables: height (*,), chest circumference (*2 ), and mid upper arm circumference (MUAC) (*>) for six children. Assuming multivariate normality and random sampling: Child, Height () Chest (*2 ) MUAC (*3) 1 78 60.6 16.5 2 76 58.1 12.5 3 92 63.2 14.5 4 81 59.0 14.0 5 81 60.8 15.5 6 84 59.5 14.0 Calculate: (i) the sample means (ii) the sample variance-covariance matrix, S (iii) the inverse of the variance-covariance matrix S- ( The standard deviation matrix v12 (i) The correlation matrix R