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# Exponential Smoothing

Results in a smoothed data series

Para aceder a este comando...

#### From the menu bar:

Choose Data - Statistics - Exponential Smoothing

#### From the tabbed interface:

Choose Data - Statistics - Exponential Smoothing.

On the Data menu of the Data tab, choose Statistics - Exponential Smoothing.

Exponential smoothing is a filtering technique that when applied to a data set, produces smoothed results. It is employed in many domains such as stock market, economics and in sampled measurements.

For more information on exponential smoothing, refer to the corresponding Wikipedia article.

### Dados

Intervalo de entrada: a referência do intervalo de dados a analisar.

Intervalo de saída: a referência da célula ou intervalo em que os resultados serão mostrados.

#### Agrupar por

Selecione se os dados de entrada estão dispostos em colunas ou linhas.

## Parameters

Smoothing Factor: A parameter between 0 and 1 that represents the damping factor Alpha in the smoothing equation.

#### Exemplo

A tabela seguinte tem duas séries temporais, uma representa a função de impulso em que tempo t=0 e outra em que tempo t=2.

| A | B
--- | --- | ---
1 | 1 | 0
2 | 0 | 0
3 | 0 | 1
4 | 0 | 0
5 | 0 | 0
6 | 0 | 0
7 | 0 | 0
8 | 0 | 0
9 | 0 | 0
10 | 0 | 0
11 | 0 | 0
12 | 0 | 0
13 | 0 | 0

The resulting smoothing is below with smoothing factor as 0.5:

Alpha |
0.5 |
Column 1 | Column 2
--- | ---
1 | 0
1 | 0
0.5 | 0
0.25 | 0.5
0.125 | 0.25
0.0625 | 0.125
0.03125 | 0.0625
0.015625 | 0.03125
0.0078125 | 0.015625
0.00390625 | 0.0078125
0.001953125 | 0.00390625
0.0009765625 | 0.001953125
0.0004882813 | 0.0009765625
0.0002441406 | 0.0004882813

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