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a. Construct two exponentially smoothed series for this time series, using w=.1 and w = .9. b. Plot the original series and the two

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a. Construct two exponentially smoothed series for this time series, using w=.1 and w = .9. b. Plot the original series and the two smoothed series on the same graph. Which smoothed series looks more like the original series? Why? 14/21 OPEC crude oil imports. The data in the table below are the amounts of crude oil (millions of barrels) im- OPEC ported into the United States from the Organization of Petroleum Exporting Countries (OPEC) for the years 1990-2010. Year t Imports, Y 1990 1 1,283 1991 1992 1993 1994 1995 1996 1997 1998 123456789 1,233 1,247 1,339 1,307 1,219 1,258 1,378 9 1,522 1999 10 1,543 2000 11 1,659 2001 12 1,770 2002 13 1,490 2003 14 1,671 2004 15 1,948 2005 16 1,738 2006 17 1,745 2007 18 1,969 2008 19 1,984 2009 20 1,594 2010 21 1,654 Source: United States Census Bureau.

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