Please help me in answering any of the questions at the earliest. For those in which a R code is needed, it will help if you uploaded the entire code with the generated results. Thank you.

1. Using R, create a 10 x 4 matrix X: 1 0 2 -2 1 0 -1 -2 1 0 3 -2 1 0 -2 3 1 0 2 1 X _ 1 1 1 3 1 1 0 0 1 1 0 -1 1 1 -1 0 1 1 0 1 Now create a 4 x 1 matrix 8 whose entries are D, 1, 1, and 2. Next create a 10 X 1 matrix 6 whose entries are IID standard normal (useful command: \"rnorm\"). Finally, set Y 2 X8 + 6. (a) Calculate (X'X )'1X'Y to estimate 8. What do you get? (Don't use the \"1m\" command. Do the computation directly. You can use the \"solve\" command to compute a matrix inverse.) (b) What is the true variance of 8? What is the true variance of 82 + 83 + 84? (Remember that the variance of 8 is a 4 >