Table B.4 contains data on the annual U.S. production of blue and gorgonzola cheeses. a. Fit an ARIMA model to this time series, excluding the last 10 observations. Investigate model adequacy. Explain...


Table B.4 contains data on the annual U.S. production of blue and gorgonzola cheeses.


a. Fit an ARIMA model to this time series, excluding the last 10 observations. Investigate model adequacy. Explain how this model would be used for forecasting.


b. Forecast the last l 0 observations.


c. In Exercise 4.16, you were asked to use exponential smoothing methods to smooth the data, and to forecast the last 10 observations. Compare the ARIMA and exponential smoothing forecasts. Which forecasting method do you prefer?


d. How would prediction intervals be obtained for the ARIMA forecasts?



Exercise 4.16
Table B.4 contains data on the annual U.S. production of blue and gorgonzola cheeses. This data has a strong trend.



TABLE B.4

U.S. Production of Blue and Gorgonzola Cheeses




























































































































































Year




Production (103
lb)




Year




Production ( 103
lb)




1950



7,657



1974



28,262



1951



5,451



1975



28,506



1952



10,883



1976



33,885



1953



9,554



1977



34.776



1954



9,519



1978



35,347



1955



10,047



1979



34.628



1956



10,663



1980



33,043



1957



10,864



1981



30.214



1958



11,447



1982



31.013



1959



12,710



1983



31.496



1960



15,169



1984



34.115



1961



16,205



1985



33.433



1962



14,507



1986



34,198



1963



15,400



1987



35,863



1964



16,800



1988



37,789



1965



19,000



1989



34,561



1966



20,198



1990



36,434



1967



18,573



1991



34,371



1968



19,375



1992



33.307



1969



21,032



1993



33,295



1970



23,250



1994



36,514



1971



25,219



1995



36.593



1972



28,549



1996



38.311



1973



29,759



1997



42,773




May 25, 2022
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