Problem 2: We've discussed estimating Xn+h (h 2 1) from (X1,. X,), but we can apply similar tech- niques to estimate missing values. In this problem, let (X,) be a MA(1) process, X, = Z+0Z1-1 with Z, ~ WN(0, o²). Let Xy denote the best (in terms of mean squared error) linear estimate of X3 using the data (X1, X2, X4, Xs); see section 2.5.2 in the book for details. a) Find an expression for X b) Using the values o? = 1/3 and 0= v2, what is the mean squared error of the estimate?

Q: Differentiate. h(x) = In(xe-2*)

A: First simplify the given function using properties of lograthim than simply take the derivative.

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Q: f(x) = - 3 ln(8x) f'(x) = ƒ'(3)

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