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Polynomial Regression Bands + Channel [DW]

Created by DonovanWall

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Polynomial Regression Bands + Channel [DW]

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A polynomial regression indicator that calculates complex curve-fitting relationships between price variables, enabling advanced trend analysis and least squares moving average (LSMA) generation.

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UNDERSTAND THE TOOL

How it works

The polynomial regression indicator uses advanced mathematical techniques to model complex price relationships by creating curve-fitted equations. It first smooths input data using a two-pole Super Smoother Filter to reduce noise.

The algorithm then generates a matrix of x and y power sums, which are solved using LU Decomposition to determine regression coefficients. These coefficients create a polynomial equation representing the price trend, which can be of varying orders and complexity

Why it may be useful

This indicator provides traders with a sophisticated method of understanding price trends beyond traditional linear analysis. By allowing polynomial regressions of different orders, traders can capture more nuanced market behaviors and relationships.

The least squares moving average (LSMA) derived from this method offers a more dynamic representation of price movement. The ability to adjust polynomial complexity helps traders adapt their analysis to different market conditions and timeframes

When to explore it

The polynomial regression indicator works best in markets with non-linear price movements and complex trend patterns. It is particularly useful for traders seeking to understand underlying price trends across multiple timeframes.

Traders should use this indicator when standard linear moving averages fail to capture market dynamics. Lower-order polynomials work well for smoother trends, while higher-order polynomials can reveal more intricate price relationships

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CHECK THE DETAILS

What we’ve verified

Access, alerts and repainting behaviour have not been independently verified for this indicator. Check the creator’s current publication and settings.

General descriptions and classifications are recovered research. Verified details above identify the specific checks we have completed. Check the creator’s current publication for later changes.