2. Consider y = X8+€, where X and € are matrixes whose entries are random variables, and 8 which is a vector of real num
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2. Consider y = X8+€, where X and € are matrixes whose entries are random variables, and 8 which is a vector of real num
2. Consider y = X8+€, where X and € are matrixes whose entries are random variables, and 8 which is a vector of real numbers. Assume X'X is always invertible. Consider the following vector of random variables B = (X'X)-?x'y. (a) Show that if X and e are independent, and E[c] = 0; then Elf) = B. (b) Show that if E[XcX] 0, then E[ BX] = B. Can we conclude that E ) = 8?
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