323 lines
9.8 KiB
Markdown
323 lines
9.8 KiB
Markdown
---
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title: holtWinters() function
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description: >
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`holtWinters()` applies the Holt-Winters forecasting method to input tables.
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menu:
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flux_v0_ref:
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name: holtWinters
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parent: universe
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identifier: universe/holtWinters
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weight: 101
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flux/v0/tags: [transformations]
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introduced: 0.38.0
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---
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<!------------------------------------------------------------------------------
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IMPORTANT: This page was generated from comments in the Flux source code. Any
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edits made directly to this page will be overwritten the next time the
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documentation is generated.
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To make updates to this documentation, update the function comments above the
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function definition in the Flux source code:
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https://github.com/influxdata/flux/blob/master/stdlib/universe/universe.flux#L984-L996
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Contributing to Flux: https://github.com/influxdata/flux#contributing
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Fluxdoc syntax: https://github.com/influxdata/flux/blob/master/docs/fluxdoc.md
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------------------------------------------------------------------------------->
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`holtWinters()` applies the Holt-Winters forecasting method to input tables.
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The Holt-Winters method predicts `n` seasonally-adjusted values for the
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specified column at the specified interval. For example, if interval is six
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minutes (`6m`) and `n` is `3`, results include three predicted values six
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minutes apart.
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#### Seasonality
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`seasonality` delimits the length of a seasonal pattern according to interval.
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If the interval is two minutes (`2m`) and `seasonality` is `4`, then the
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seasonal pattern occurs every eight minutes or every four data points.
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If your interval is two months (`2mo`) and `seasonality` is `4`, then the
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seasonal pattern occurs every eight months or every four data points.
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If data doesn’t have a seasonal pattern, set `seasonality` to `0`.
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#### Space values at even time intervals
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`holtWinters()` expects values to be spaced at even time intervales.
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To ensure values are spaced evenly in time, `holtWinters()` applies the
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following rules:
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- Data is grouped into time-based "buckets" determined by the interval.
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- If a bucket includes many values, the first value is used.
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- If a bucket includes no values, a missing value (`null`) is added for that bucket.
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By default, `holtWinters()` uses the first value in each time bucket to run
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the Holt-Winters calculation. To specify other values to use in the
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calculation, use `aggregateWindow` to normalize irregular times and apply
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an aggregate or selector transformation.
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#### Fitted model
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`holtWinters()` applies the [Nelder-Mead optimization](https://en.wikipedia.org/wiki/Nelder%E2%80%93Mead_method)
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to include "fitted" data points in results when `withFit` is set to `true`.
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#### Null timestamps
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`holtWinters()` discards rows with null timestamps before running the
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Holt-Winters calculation.
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#### Null values
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`holtWinters()` treats `null` values as missing data points and includes them
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in the Holt-Winters calculation.
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##### Function type signature
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```js
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(
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<-tables: stream[A],
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interval: duration,
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n: int,
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?column: string,
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?seasonality: int,
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?timeColumn: string,
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?withFit: bool,
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?withMinSSE: bool,
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) => stream[B] where A: Record, B: Record
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```
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{{% caption %}}
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For more information, see [Function type signatures](/flux/v0/function-type-signatures/).
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{{% /caption %}}
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## Parameters
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### n
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({{< req >}})
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Number of values to predict.
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### interval
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({{< req >}})
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Interval between two data points.
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### withFit
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Return fitted data in results. Default is `false`.
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### column
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Column to operate on. Default is `_value`.
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### timeColumn
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Column containing time values to use in the calculating.
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Default is `_time`.
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### seasonality
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Number of points in a season. Default is `0`.
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### withMinSSE
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Return minSSE data in results. Default is `false`.
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minSSE is the minimum sum squared error found when optimizing the holt winters fit to the data.
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A smaller minSSE means a better fit.
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Examining the minSSE value can help understand when the algorithm is getting a good fit versus not.
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### tables
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Input data. Default is piped-forward data (`<-`).
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## Examples
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- [Use holtWinters to predict future values](#use-holtwinters-to-predict-future-values)
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- [Use holtWinters with seasonality to predict future values](#use-holtwinters-with-seasonality-to-predict-future-values)
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- [Use the holtWinters fitted model to predict future values](#use-the-holtwinters-fitted-model-to-predict-future-values)
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### Use holtWinters to predict future values
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```js
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import "sampledata"
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sampledata.int()
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|> holtWinters(n: 6, interval: 10s)
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```
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{{< expand-wrapper >}}
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{{% expand "View example input and output" %}}
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#### Input data
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| _time | _value | *tag |
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| -------------------- | ------- | ---- |
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| 2021-01-01T00:00:00Z | -2 | t1 |
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| 2021-01-01T00:00:10Z | 10 | t1 |
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| 2021-01-01T00:00:20Z | 7 | t1 |
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| 2021-01-01T00:00:30Z | 17 | t1 |
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| 2021-01-01T00:00:40Z | 15 | t1 |
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| 2021-01-01T00:00:50Z | 4 | t1 |
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| _time | _value | *tag |
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| -------------------- | ------- | ---- |
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| 2021-01-01T00:00:00Z | 19 | t2 |
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| 2021-01-01T00:00:10Z | 4 | t2 |
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| 2021-01-01T00:00:20Z | -3 | t2 |
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| 2021-01-01T00:00:30Z | 19 | t2 |
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| 2021-01-01T00:00:40Z | 13 | t2 |
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| 2021-01-01T00:00:50Z | 1 | t2 |
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#### Output data
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| *tag | _time | _value |
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| ---- | -------------------- | ------------------ |
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| t1 | 2021-01-01T00:01:00Z | 10.955056783457671 |
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| t1 | 2021-01-01T00:01:10Z | 10.929416756584807 |
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| t1 | 2021-01-01T00:01:20Z | 10.913930733843678 |
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| t1 | 2021-01-01T00:01:30Z | 10.904983736080599 |
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| t1 | 2021-01-01T00:01:40Z | 10.89992727039632 |
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| t1 | 2021-01-01T00:01:50Z | 10.897102216255147 |
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| *tag | _time | _value |
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| ---- | -------------------- | ----------------- |
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| t2 | 2021-01-01T00:01:00Z | 6.791274364986771 |
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| t2 | 2021-01-01T00:01:10Z | 6.791274496071822 |
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| t2 | 2021-01-01T00:01:20Z | 6.791274497934493 |
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| t2 | 2021-01-01T00:01:30Z | 6.791274497960961 |
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| t2 | 2021-01-01T00:01:40Z | 6.791274497961337 |
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| t2 | 2021-01-01T00:01:50Z | 6.791274497961342 |
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{{% /expand %}}
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{{< /expand-wrapper >}}
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### Use holtWinters with seasonality to predict future values
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```js
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import "sampledata"
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sampledata.int()
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|> holtWinters(n: 4, interval: 10s, seasonality: 4)
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```
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{{< expand-wrapper >}}
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{{% expand "View example input and output" %}}
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#### Input data
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| _time | _value | *tag |
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| -------------------- | ------- | ---- |
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| 2021-01-01T00:00:00Z | -2 | t1 |
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| 2021-01-01T00:00:10Z | 10 | t1 |
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| 2021-01-01T00:00:20Z | 7 | t1 |
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| 2021-01-01T00:00:30Z | 17 | t1 |
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| 2021-01-01T00:00:40Z | 15 | t1 |
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| 2021-01-01T00:00:50Z | 4 | t1 |
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| _time | _value | *tag |
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| -------------------- | ------- | ---- |
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| 2021-01-01T00:00:00Z | 19 | t2 |
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| 2021-01-01T00:00:10Z | 4 | t2 |
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| 2021-01-01T00:00:20Z | -3 | t2 |
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| 2021-01-01T00:00:30Z | 19 | t2 |
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| 2021-01-01T00:00:40Z | 13 | t2 |
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| 2021-01-01T00:00:50Z | 1 | t2 |
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#### Output data
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| *tag | _time | _value |
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| ---- | -------------------- | ----------------- |
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| t1 | 2021-01-01T00:01:00Z | 4.689501667763805 |
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| t1 | 2021-01-01T00:01:10Z | 9.89174309681615 |
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| t1 | 2021-01-01T00:01:20Z | 3.586846840716385 |
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| t1 | 2021-01-01T00:01:30Z | 6.51792718960969 |
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| *tag | _time | _value |
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| ---- | -------------------- | --------------------- |
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| t2 | 2021-01-01T00:01:00Z | 0.0003493824987647374 |
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| t2 | 2021-01-01T00:01:10Z | 12.80532295591006 |
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| t2 | 2021-01-01T00:01:20Z | 8.6277743213372 |
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| t2 | 2021-01-01T00:01:30Z | 1.4602203332390207 |
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{{% /expand %}}
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{{< /expand-wrapper >}}
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### Use the holtWinters fitted model to predict future values
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```js
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import "sampledata"
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sampledata.int()
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|> holtWinters(n: 3, interval: 10s, withFit: true)
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```
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{{< expand-wrapper >}}
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{{% expand "View example input and output" %}}
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#### Input data
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| _time | _value | *tag |
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| -------------------- | ------- | ---- |
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| 2021-01-01T00:00:00Z | -2 | t1 |
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| 2021-01-01T00:00:10Z | 10 | t1 |
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| 2021-01-01T00:00:20Z | 7 | t1 |
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| 2021-01-01T00:00:30Z | 17 | t1 |
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| 2021-01-01T00:00:40Z | 15 | t1 |
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| 2021-01-01T00:00:50Z | 4 | t1 |
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| _time | _value | *tag |
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| -------------------- | ------- | ---- |
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| 2021-01-01T00:00:00Z | 19 | t2 |
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| 2021-01-01T00:00:10Z | 4 | t2 |
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| 2021-01-01T00:00:20Z | -3 | t2 |
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| 2021-01-01T00:00:30Z | 19 | t2 |
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| 2021-01-01T00:00:40Z | 13 | t2 |
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| 2021-01-01T00:00:50Z | 1 | t2 |
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#### Output data
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| *tag | _time | _value |
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| ---- | -------------------- | ------------------ |
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| t1 | 2021-01-01T00:00:00Z | -2 |
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| t1 | 2021-01-01T00:00:10Z | 9.22029445567278 |
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| t1 | 2021-01-01T00:00:20Z | 10.72226472734998 |
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| t1 | 2021-01-01T00:00:30Z | 11.027320524107417 |
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| t1 | 2021-01-01T00:00:40Z | 11.036623518669842 |
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| t1 | 2021-01-01T00:00:50Z | 10.993492350404422 |
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| t1 | 2021-01-01T00:01:00Z | 10.955056783457671 |
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| t1 | 2021-01-01T00:01:10Z | 10.929416756584807 |
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| t1 | 2021-01-01T00:01:20Z | 10.913930733843678 |
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| *tag | _time | _value |
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| ---- | -------------------- | ------------------ |
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| t2 | 2021-01-01T00:00:00Z | 19 |
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| t2 | 2021-01-01T00:00:10Z | 10.099938333168268 |
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| t2 | 2021-01-01T00:00:20Z | 3.576640457126943 |
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| t2 | 2021-01-01T00:00:30Z | 6.744937158136209 |
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| t2 | 2021-01-01T00:00:40Z | 6.79061592841652 |
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| t2 | 2021-01-01T00:00:50Z | 6.791265139903281 |
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| t2 | 2021-01-01T00:01:00Z | 6.791274364986771 |
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| t2 | 2021-01-01T00:01:10Z | 6.791274496071822 |
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| t2 | 2021-01-01T00:01:20Z | 6.791274497934493 |
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{{% /expand %}}
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{{< /expand-wrapper >}}
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