The following data, stored in Norway, provide Norway's export of goods and services as a percentage of GDP (gross domestic product) from 2006 to 2017.

Year	Exports
2006	44.7
2007	43.3
2008	45.9
2009	39.2
2010	39.7
2011	41.2
2012	40.6
2013	39.1
2014	38.8
2015	37.7
2016	35.2
2017	36.2

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 2018 ?

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 export of goods and services as a percentage of GDP for Norway?