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Objective: In this exam, what you are provided are the observed 200 realizations of the Y's values for some given pairs (X1, X2)'s that can

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Objective: In this exam, what you are provided are the observed 200 realizations of the Y's values for some given pairs (X1, X2)'s that can be used to approximate the distributions of Y's. Your task is to estimate or approximate the values of A(X1, X2) = E(Y(X1, X2)) and V(X1, X2) = Var(Y(X1, X2)) for those given pairs (X1, X2) in the testing data set. Training data set: In order to help you to develop a reasonable estimation of the mean and variance of Y = Y(X1, X2) as deterministic functions of X1 and X2, we provide a training data set that is generated as follows. We first choose the uniform design points when 0

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