Question: 3. Consider the AR(2) model (1 0.7B)(1 + 0.1B)????n = wn: (i) Find a1 and a2. (ii) Simulate errors for this model with n

3. Consider the AR(2) model (1 − 0.7B)(1 + 0.1B)????n = wn:

(i) Find a1 and a2.

(ii) Simulate errors for this model with n = 300 and ???? = 1.5.

(iii) Construct a filtering matrix A using a1 and a2.

(iv) Filter the errors and use pacf() and ar.yw() [or ar.mle()] to demonstrate that the filtering has been successful.

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