The following data show residential and commercial natural gas consumption (quadrillion Btu) from 1985 through 2000. a.

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The following data show residential and commercial natural gas consumption (quadrillion Btu) from 1985 through 2000.

Year Consumption Year Consumption 30.6 1985 27.6 1993 26.9 30.8 1986 1994 31.6 1987 27.6 1995 1988 28.9 1996 33.0 1989 2

a. Construct a graph of the time series, then superimpose a three-year centered moving average over the original series.
b. Superimpose a five-year centered moving average over the original series. Why is the moving average €œsmoother€ when N = 5?


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