Question: A ski repair shop at a resort in Colorado sells replacement poles each season. The shop needs to develop a forecast of next season's sales so that they can place an order for poles with their supplier well in advance of the beginning of the season. Sales data for the past five years are shown below. Compare the forecasts given by the following models.

Develop forecasts using:

a. A five-year moving average.

b. A weighted moving average model with weights of 0.1, 0.1, 0.2, 0.3, and 0.3 for years 1 through 5 respectively.

c. An exponential smoothing model with year 1 forecast of 380 and a = 0.2.