LinReg R-Squared Pro (Indicator)

1. Summary

LinReg R-Squared Pro is a specialized trend-filtering indicator. It measures the statistical reliability of the current price trend.

Instead of just telling you if the price is going up or down (like a Moving Average), it calculates the Coefficient of Determination (R^2), which answers the question: "How well does the current price action fit a perfect straight line?"

2. Methodology & Logic

The indicator performs a Linear Regression on a rolling window of past prices and extracts key statistical metrics.

R-Squared (`R^2`) - The Main Histogram

Formula: Standard statistical R^2 calculation (Least Squares Method).
Range: 0.0 to 1.0.
Interpretation:
- R^2 > 0.7 (Trend): The market is in a strong, linear trend. The "noise" is low compared to the direction. Trend-following strategies (e.g., Pullback entries) have the highest probability of success here.
- R^2 < 0.3 (Chop): The market has no direction. Prices are scattered randomly around the mean. Avoid trend trades; use Mean Reversion strategies.

Slope (Data Window Only)

The indicator also calculates the Slope of the regression line (price change per bar). This indicates the direction and velocity of the trend but is not drawn on the chart to keep it clean.

3. MQL5 Implementation Details

Engine: Powered by the extended CLinearRegressionCalculator class (v4.00), which now supports rolling statistical analysis in addition to channel drawing.
Optimization: It uses efficient "Sum of Squares" caching to calculate the regression parameters (a, b, r^2) in real-time without re-iterating the entire history unnecessarily.

4. Parameters

InpPeriod: The lookback window for the regression analysis (Default: 20).
InpTrendLevel: The threshold for defining a "Strong Trend" (Default: 0.7).

5. Usage in Trading

Trend Confirmation: Do not enter a breakout trade unless the R^2 histogram is rising and green (> 0.7).
Trend Exhaustion: If prices are making new highs, but the R^2 histogram starts falling (divergence), the trend is losing its linearity and becoming unstable/volatile. A reversal or consolidation is likely.
Choppy Market Filter: If the histogram is Gray (< 0.3), stay out of trend trades entirely.

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