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Local Linear Kernel Smoother
Admin's Choice NewFreeGaussian local linear fit at the newest bar with residual bands
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- Language
- QuaScript
- Engine
- Native C++, incremental on live ticks
- Rendering
- Canvas
- Placement
- Price overlay
- Settings
- 5
- Plots
- 6
- Lines of code
- 66
- Source
- presets/analysis/stats/local_linear_smoother.qs
About
A local linear regression of price on time with Gaussian weights, fitted at the newest bar only (no future bars, so history never changes). Unlike a kernel-weighted average, the local linear fit removes the lag of a trending series at the right edge. The fitted slope colors the line; bands are drawn at a multiple of the weighted residual standard deviation of the same fit, with gradient fills. Touches of the outer band against the slope are marked as stretched, and slope sign changes as turns. Method: Cleveland (1979), Fan and Gijbels (1996).
What it draws
Price overlay · counted from the engine's plot table and the script's draw calls
Series
- Line3 visible · 3 helperLocal fit
- Band fills (render.band calls)3
Signal marks
Drawings and chart effects
No drawings; everything is plotted series.
How it runs
From source to the live chart, for this script
- 1Compile
The QuaScript compiler checks the 66-line script (57 lines of code) and lowers it for the native C++ engine. Compile errors point at the exact line and column.
- 2Place
The header sets
overlay = true, so everything is drawn on the price chart, on the same scale as the candles. - 3Compute
The script runs once per bar, oldest to newest. Each bar also runs 2 loops (2 for).
- 4Stay live
On the terminal the script keeps one live engine session: a tick rolls the forming bar back to its checkpoint and re-executes only that bar, and new bars are appended, so history is never rerun while the market moves. The live result is identical to a full run.
- 5Render
The results are handed to the chart: series on Canvas.
- 6Tune
5 settings in 1 group appear in the chart's settings dialog. Changing one reruns the engine with the new value.
Rendering
This script draws on Canvas
The browser's modern GPU API. The chart uploads every line, band and mark of the script as GPU buffers and draws them in one pass, so dense heatmaps and dozens of series stay smooth while you pan and zoom. Without WebGPU support the chart's GPU layer falls back to WebGL 2, then Canvas 2D.
GPU drawing through WebGL 2, available in every current browser. Used for chart-native profiles and for series that ask for it with backend = "webgl". Fast for large numbers of bars and wide fills.
The browser's 2D drawing API. Text-heavy and object-style output (dashboard tables, zones, tags, segments), candle colors and backgrounds are painted by the QuaScript layer, a Canvas 2D surface over the chart. Series use Canvas when the script's header does not ask for a GPU.
- • 6 plotted series
- • 3 band fill calls
- • 2 signal mark types
Alerts
2 alert rules declared with alert.rule
The local linear slope changed sign
Price reached the outer band against the fitted slope
Settings
5 settings, grouped as in the chart's settings dialog
| Setting | Type | Default | Range / options | Id |
|---|---|---|---|---|
| Source | Price source | close | — | source |
| Window bars | Integer | 80 | 10 – 400 | window_bars |
| Bandwidth (bars) | Number | 14 | 2 – 200, step 0.5 | bandwidth_bars |
| Inner band (sigma) | Number | 1 | 0.25 – 4, step 0.05 | inner_band_sigma |
| Outer band (sigma) | Number | 2.2 | 0.5 – 6, step 0.05 | outer_band_sigma |
Script
packages/quascript/presets/analysis/stats/local_linear_smoother.qs
Header
analysis "Local Linear Kernel Smoother" {
overlay = true
}- Total lines
- 66
- Code lines
- 57
- Comment lines
- 8
- Helper functions
- 0
- Loops
- 2
- Persistent variables
- 0
- Higher-interval feeds
- 0
- Engine plots
- 6
Built with
math.expmath.is_namath.sqrt
Discussion