Adaptive Regression Fibonacci Channel

# Adaptive Regression Fibonacci Channel

Adaptive Regression Fibonacci Channel is a trend analysis tool that combines Linear Regression with Fibonacci-based channel levels to create a dynamic framework for identifying support, resistance, pullback, and trend continuation zones.

Unlike traditional Fibonacci retracements that require manually selected swing highs and lows, this indicator automatically calculates a regression trend line and builds an adaptive channel around recent price action.

## Features

• Dynamic Linear Regression Trend Line

• Adaptive Upper and Lower Channel Boundaries

• Automatic Fibonacci Levels:

* 0.236
* 0.382
* 0.500
* 0.618
* 0.786

• Real-Time Volatility Adjustment

• Dynamic Support and Resistance Visualization

• Compatible with Any Market and Timeframe

## How It Works

The indicator calculates a Linear Regression line using the selected lookback period.

It then measures the maximum deviation between the regression line and recent price extremes to create an adaptive channel that reflects current market conditions.

Fibonacci levels are distributed proportionally between the upper and lower channel boundaries, providing additional reference zones that may act as potential support, resistance, or reaction areas.

## Typical Applications

• Trend Analysis

Monitor the position of price within the channel structure.

• Pullback Identification

Use intermediate Fibonacci levels to identify potential retracement areas during established trends.

• Support and Resistance Mapping

Dynamic Fibonacci bands can highlight areas where price may react.

• Market Structure Assessment

Evaluate whether price is trading near channel extremes or near its regression mean.

## Notes

This indicator is designed as an analytical tool and should be used alongside other forms of technical analysis and risk management techniques.

No indicator can predict future market movements with certainty.

## Keywords

Linear Regression, Fibonacci Channel, Fibonacci Bands, Trend Analysis, Dynamic Support Resistance, Adaptive Channel, Market Structure, Technical Analysis, Price Action, TradingView

Short Description:
Dynamic Fibonacci channel built around a Linear Regression trend. Automatically adapts to market structure and volatility to highlight potential support, resistance, pullback, and trend continuation zones.

Phát hành các Ghi chú

### How It Works — Technical Details

The regression line is calculated using Pine Script's built-in ta.linreg()
function. Two values are derived from this function:

— regStart: the regression value at the oldest bar of the lookback window,
calculated as ta.linreg(close, length, length - 1)
— regEnd: the regression value at the current bar,
calculated as ta.linreg(close, length, 0)

These two points define a straight trend line fitted to the closing prices
of the last N bars using the least-squares method, which minimizes the sum
of squared differences between actual closes and the fitted line.

The channel width is determined adaptively using ta.highest(high, length)
and ta.lowest(low, length) to find the extreme price points within the
lookback window. The half-range is then calculated as:

halfRange = math.max(highestHigh − regEnd, regEnd − lowestLow)

This means the channel always expands to contain the furthest price extreme
on either side of the regression line. The upper boundary is the regression
line shifted up by halfRange, and the lower boundary is shifted down by the
same value. This asymmetry-aware approach ensures the channel adapts to
both trending and volatile conditions without requiring any manual input.

Fibonacci levels are then distributed proportionally between the upper and
lower channel boundaries at each bar position independently. The start and
end points of each Fibonacci line are calculated separately:

— f236s / f236e = lower boundary + channel range × 0.236 (at start / end)
— f382s / f382e = lower boundary + channel range × 0.382
— f500s / f500e = lower boundary + channel range × 0.500 (midline)
— f618s / f618e = lower boundary + channel range × 0.618
— f786s / f786e = lower boundary + channel range × 0.786

Because both the start and end points of each Fibonacci line are calculated
from the sloped channel boundaries rather than from a flat price level, the
Fibonacci lines are themselves slightly angled — they follow the slope of
the regression channel rather than being horizontal. This is what makes the
channel adaptive: the entire structure tilts with the prevailing trend
direction, so Fibonacci zones represent dynamic areas relative to the
regression mean rather than static price levels.

All lines and labels are managed using var-declared objects that are deleted
and redrawn on each new bar close, ensuring the channel always reflects the
most recent lookback window without accumulating stale objects.

### How To Use

1. Set Lookback Length to match the market structure you want to analyze:
— 100–200 bars: short-term trend and intraday structure
— 300–500 bars: medium-term swing structure
— 1000+ bars: major trend and macro structure
2. Price inside the channel near the midline (0.500) suggests
equilibrium — watch for directional breakout
3. Price near the upper boundary (1.000) suggests extended bullish
conditions — potential resistance or continuation zone
4. Price near the lower boundary (0.000) suggests extended bearish
conditions — potential support or continuation zone
5. Intermediate Fibonacci levels (0.236, 0.382, 0.618, 0.786) act as
dynamic pullback and reaction zones within the trend
6. A rising channel (regression line angled upward) confirms bullish
trend structure; a falling channel confirms bearish structure
7. Works on any timeframe — shorter timeframes suit intraday analysis,
longer timeframes suit swing and position trading

### Originality

This script is an original work combining least-squares linear regression
with an asymmetry-aware adaptive channel construction method. The key
distinction from standard regression channels is the halfRange calculation:
rather than using a fixed standard deviation or a symmetric deviation, the
channel width is determined by whichever price extreme — high or low —
lies further from the regression endpoint. This means the channel
automatically accommodates skewed volatility. The Fibonacci levels are
then applied to this adaptively-sized, sloped channel so that every level
is dynamic in both slope and width, not simply a horizontal retracement
drawn from a fixed reference point. This implementation is the author's
own original work and is not derived from any existing published script.

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