Sketch the autocorrelation functions for the following MA(2) models with parameters as specified:

(a) 1 = 0.5 and 2 = 0.4.

(b) 1 = 1.2 and 2 = 0.7.

(c) 1 = 1 and 2 = 0.6.

First perform all work (derivations, calculations, sketches) without using R.

Second Simulate each process in (1) above using R. Generate ACF for each process. Discuss your findings. A minimum of 3 sentences is required to analyze the ACF plot for each process.

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