STAT8121 - Multivariate Analysis - Using R Software - Statistics Assignment Help

Assignment Task

Question: using R software
The multivariate observed data is stored in the data file Assignement2.RData.
This data frame contains 34 observations of an unknown random bivariate vector X = (X1, X2) > with unknown population mean µ = (µ1, µ2) > and
unknown covariance matrix Σ.
In your answers to (a) - (e) include the R script accordingly.
(a) Provide the histograms and the appropriate Q-Q plots for testing normality of marginal distributions of X. Give your interpretation.
(b) Compute the generalized distance for each observation.
(c) Provide the appropriate Q-Q plot for the distance data obtained in (b). Does X follow a bivariate normal distribution? Explain.
(d) Provide the 95% confidence ellipse for the population mean vector µ = (µ1, µ2) >.
(e) Obtain 90% Bonferroni simultaneous confidence intervals for µ1 and µ2.

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