DESCRIPTION Please keep in mind the OMSI rules. Save your files often. Submit each answer individually and make sure you receive the notification of successful submission. Don't wait till the last moment to submit all answers, as there might be network traffic in the last 5 minutes causing unexpected delay and failure. Remember that clicking CopyQtoA will copy the entire question box to the answer box. In questions involving code which will PARTIALLY be given to you in the question specs, you may need to add new lines. There may not be information given as to where the lines should be inserted. MAKE SURE TO RUN THE R CODE ANSWER IN PROBLEMS THAT INVOLVE R CODE! QUESTION (Text answer 25 Points) For fixed data and H_0, the more stringent the test, the __________________ the associated confidence interval. QUESTION (Text answer 25 Points) Say we do predict(qeLin(mlb,'Weight')). Name the function called by predict(). QUESTION -ext .R -run 'Rscript ./omsi_answer3.R' (R code answer 25 Points) In the mlb data, predict weight from height (no other predictors), fitting a quadratic model with no holdout set. Find the predicted weight of a player of height 77.2. Show your full code. library(regtools) print( ) QUESTION -ext .R -run 'Rscript ./omsi_answer4.R' (R code answer 25 Points) Say we have a random sample, X_i, i = 1,2,...,n from some population in which X has unknown density f_X. We compute the sample variance s^2 (using the 1/n definition, not 1/(n-1).) We are interested in Es. Use simulation to evaluate that in the case of f_X being an exponential distribution with mean 2.0. sim <- function(n,nreps) { } print(sim(1000,10000))