a. Show that the centered s-point moving average series of Section 16.2 can be written as follows:
b. Show that
Discuss the computational advantages of this formula in the seasonal adjustment of monthly time series.
Answer to relevant QuestionsThe data file Inventory Sales shows the inventory sales ratio for manufacturing and trade in the United States over a period of 12 years. Use the method of simple exponential smoothing to obtain forecasts of the ...Comment on the following statement: We know that all business and economic time series exhibit variability through time. Yet if simple exponential smoothing is used, the same forecast results for all future values of the ...The data file Quarterly Sales shows quarterly sales of a corporation over a period of 6 years. Use the Holt-Winters seasonal method to obtain forecasts of sales up to eight quarters ahead. Employ smoothing constants α = ...For many time series, particularly prices in speculative markets, the random walk model has been found to give a good representation of actual data. This model is written as follows: xt = xt-1 + εt Show that, if this model ...Using the data in the file Macro2010 develop an autoregressive model for the Personal Consumption Expenditures. First, use the data for the period 1980, first quarter, through 2000, fourth quarter, to forecast for the ...
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