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TRENDSMOOTH Overview
Smoothing linear, exponential, and damped trends (TRENDSMOOTH)
Exponential
smoothing with a trend works much like simple smoothing except that
two components must be updated each period: level and trend. The
level is a smoothed estimate of the value of the data at the end
of each period. The trend is a smoothed estimate of average
growth at the end of each period.
To
explain this type of forecasting, let's review an application at
Alief Precision Arms, a company that manufactures high-quality replicas
of the Colt Single-Action Army revolver and other revolvers from
the nineteenth century. Alief was founded in 1987 and experienced
rapid growth through about 1994. Since 1994, growth has slowed
and Alief is uncertain about the growth that should be projected
in the future.
The
worksheet was developed to help Alief compare several different
types of trend forecasts. This worksheet can produce a linear
or straight-line trend, a damped trend in which the amount of growth
declines each period in the future, or an exponential trend in which
the amount of growth increases each period in the future.
TRENDSMOOTH
is a robust model, relatively insensitive to smoothing parameters
provided that they are approximately correct.
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