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Simple Exponential Smoothing Calculator

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Smooth an ordered series with a chosen weight on the newest observation.

Your inputs

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Inputs stay in this page. No account needed.

Your result

MATH

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Next steps

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On this page How it works & practical examples

How to use the Simple Exponential Smoothing Calculator

Keep observations in time order. The first observation initializes the level; alpha controls how much each subsequent observation changes that level.

The calculation

S1 = x1; St = α xt + (1−α) S(t−1)

Worked example

For 10, 20 and 30 at α = 0.5, the smoothed sequence is 10, 15 and 22.5.

Assumptions and limits

Unlike a fixed trailing window, old observations retain declining weight. No trend, seasonality, automatic tuning or forecast accuracy assessment is included.

Common questions

Which inputs should I use?

Keep observations in time order. The first observation initializes the level; alpha controls how much each subsequent observation changes that level.

What does the result exclude?

Unlike a fixed trailing window, old observations retain declining weight. No trend, seasonality, automatic tuning or forecast accuracy assessment is included.

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