# Question

The following data show U.S. retail sales of canoes from 1991 through 2008, with data in thousands of boats.

a. Construct a graph of the time series. Does the overall trend appear to be upward or downward?

b. Construct a three-year centered moving average for this series.

c. Using the constant α = 0.3, fit an exponentially smoothed curve to the original time series.

d. Repeat part (c) using α = 0.7. How has the new value for the constant affected the smoothness of the fitted curve?

a. Construct a graph of the time series. Does the overall trend appear to be upward or downward?

b. Construct a three-year centered moving average for this series.

c. Using the constant α = 0.3, fit an exponentially smoothed curve to the original time series.

d. Repeat part (c) using α = 0.7. How has the new value for the constant affected the smoothness of the fitted curve?

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