Question: 16.10 a. Show that the centered s-point moving average series of Section 16.2 can be written as follows: x*t = xt-1s > 22 + 21xt-(s

16.10

a. Show that the centered s-point moving average series of Section 16.2 can be written as follows:

x*t =

xt-1s > 22 + 21xt-(s > 22+1 + g + xt+1s > 22-1) + xt+1s > 22 2s

b. Show that x*t +1 = x*t +

xt+1s > 22+1 + xt+1s > 22 - xt-1s > 22+1 - xt-1s > 22 2s Discuss the computational advantages of this formula in the seasonal adjustment of monthly time series.

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