The following data, stored in CoreAppliances provide the total number of shipments of core major household appliances in the U.S. from 2000 to 2016 (in millions).

a. Plot the time series.

b. Fit a three-year moving average to the data and plot the results.

c. Using a smoothing coefficient of W = 0.50, exponentially smooth the series and plot the results.

d. What is your exponentially smoothed forecast for 2017?

e. Repeat (c) and (d), using W = 0.25.

f. Compare the results of (d) and (e).

g. What conclusions can you reach concerning the total number of shipments of core major household appliances in the U.S. from 2000 to 2016 (in millions)?

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Year Shipments Year Shipments 2000 38.4 2009 36.5 2001 38.2 2010 38.2 2002 40.8 2011 36.0 2003 42.5 2012 35.8 2004 46.1 2013 39.2 2005 41.5 47.0 2014 42.9 2006 46.7 2015 2007 44.1 2016 44.7 39.8 2008