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Holt's Linear Exponential Smoothing Forecast
x402
Holt's Linear Exponential Smoothing Forecast is a paid API for AI agents from agent402.tools, paid per call via x402, $0.001/call, status unknown (last checked 2026-09-14).
Applies Holt's two-parameter linear trend smoothing to a time series and returns a straight-line forecast for a specified number of future periods.
Price / call$0.001
Success—
StatusUnknown
How this service works
Holt's linear trend method - level + trend (no seasonality). Two smoothing parameters: alpha (level) and beta (trend). Forecast extrapolates as a straight line from the last fitted level along the last fitted trend, so it grows or shrinks linearly with horizon. Use this when your series has a persistent up/down trend but no seasonal cycle (e.g. a SaaS MRR climb, a deflating cohort retention curve).
Output
Returns forecasted values for the requested number of future periods, extrapolated as a straight line from the last fitted level along the last fitted trend, along with the fitted level and trend at the end of the series.
Example use cases
Example prompt
“Use Holt's linear trend method to forecast the next 12 periods for this monthly sales series [120, 135, 148, 160, 175, 190, 205, 220], with alpha set to 0.4 and beta set to 0.2.”
Technical details
Endpoint
POSThttps://agent402.tools/api/forecast-holtWhen to prefer
Choose this endpoint when your time series has a clear linear trend but no seasonal pattern, and you need a simple, interpretable forecast. It is ideal for demand planning, sales projection, or any monotonically growing or declining series where Holt's two-parameter model suffices. Prefer it over seasonal models (Holt-Winters) when seasonality is absent or irrelevant, and over simple exponential smoothing when a trend component must be captured.
Side effects
- Series too short (fewer than 4 values) — returns validation error
- Horizon out of range (less than 1 or greater than 1000) — returns error
- Alpha or beta not between 0 and 1 (exclusive) — returns parameter validation error
- Series exceeds 10000 values — returns size limit error
- Non-numeric values in series — returns type error
- Payment not provided — returns 402 Payment Required
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| beta | number | Trend smoothing, 0 < beta < 1 (default 0.3) |
| alpha | number | Level smoothing, 0 < alpha < 1 (default 0.5) |
| values | array | Numeric series in chronological order (max 10000, min 4) |
| horizon | number | Number of future periods to forecast (1 to 1000) |
Output
Schema · Response
{
"type": "json",
"example": {
"n": 10,
"beta": 0.3,
"alpha": 0.5,
"method": "holt",
"horizon": 3,
"forecast": [
{
"step": 1,
"point": 163.2012,
"lower95": 161.6463,
"upper95": 164.756
},
{
"step": 2,
"point": 169.7416,
"lower95": 167.8871,
"upper95": 171.596
},
{
"step": 3,
"point": 176.282,
"lower95": 174.049,
"upper95": 178.515
}
]
}
}Tags
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