A moving average time series is given by

vt=wt-1+wt+wt+13, where w1,w2,w3,...~N0,2 are i.i.d.

(a) Simulate a series of n = 500 moving average observations and compute the sample ACF, h, to lag 20. Compare the sample ACF you obtain to the actual ACF, h.

(b) Repeat part (a) using only n = 50. How does changing n affect the results?