The price of bananas fluctuates on the world market. Here are the prices ($/tonne) for the years 2000€“2004.

a) Find a 3- year moving average prediction for the price in 2005.
b) Find a prediction for 2005 with an exponential smoothing model with a = 0.4.
c) The actual price of bananas in 2005 was 577 $/tonne (you can find current prices at www.imf.org/external/np/res/commod/table3.pdf.) Compute the absolute percentage error for each prediction.

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2000 2001 2002 2003 2004 422.27 584.70 527.6 375.19 524.84