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📊 Auto-Trend Channel 📊
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.
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