Auto-Trend Channel Indicator

This indicator plots a trend channel based on the calculation of linear regression and the standard deviation of price data (logarithmic) for a period selected automatically. 📈 The period is determined using the Pearson correlation coefficient (RRR), choosing the one with the highest absolute value. 🧮

✨ Main Functionality ✨

The primary functionality is to compute a trend channel that automatically adapts to the most representative period length, using advanced statistics to define support, resistance, and the central trend line.
The channel includes:
1️⃣ A baseline representing the calculated linear trend.
2️⃣ Upper and lower lines defining the channel bands at a distance proportional to the standard deviation.

🚀 Features and Calculations 🚀

🔎 Optimal Period Calculation

The indicator evaluates multiple data periods (short or long, depending on configuration) to find the one with the most accurate correlation to market behavior.
The Pearson correlation is used as the key metric to identify the period with the strongest relationship between historical price and the generated trend line.

📐 Linear Regression and Price Projection

For each evaluated period, a regression line is calculated based on the natural logarithm of prices to stabilize extreme variations.
Key components of the calculation include:
- Slope: Represents the rate of price change.
- Intercept: The starting point of the projected line.
- Mean: Establishes a reference baseline.

📊 Standard Deviation and Channel Limits

The standard deviation of prices relative to the regression line is calculated.
The upper band (resistance) and lower band (support) are derived by adjusting the central line with a user-configurable standard deviation multiplier.

🌈 Trend Channel Visualization

The channel is composed of three main elements:
- Central Line: Shows the main trend based on the regression line.
- Upper Line: Represents the channel’s upper limit (resistance), adjusted by standard deviation.
- Lower Line: Represents the channel’s lower limit (support), adjusted by standard deviation.
Users can customize the channel's colors, transparency, and line styles for better visual clarity.

🎛️ Adaptability and Configuration

Users can personalize various aspects of the indicator, such as:
- The colors of the lines and the channel.
- Whether to focus on long periods (macro trends) or short periods (micro trends).
This adaptability ensures the indicator suits different trading styles and visual preferences.

🔍 Use :

1️⃣ Trend Identification

The channel’s central line helps determine whether the market is in an uptrend, downtrend, or sideways trend.

2️⃣ Dynamic Support and Resistance

The upper and lower channel lines act as potential zones where the price may reverse or consolidate.

3️⃣ Consolidation and Breakout Detection

Prices staying within the channel suggest consolidation, while a breakout indicates a trend change or a strong price movement.

4️⃣ Adjustment to Different Trading Styles

Long periods are useful for identifying general trends and making strategic decisions in broader timeframes.
Short periods allow traders to capture faster movements and respond to immediate market changes.