Future Trend Indicator (FTI) with Heiken Ashi

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Description: Future Trend Indicator (FTI)
The Future Trend Indicator (FTI) is a versatile and innovative tool designed to analyze market trends, smooth out noise, and provide a forward-looking forecast of potential price movements. Built with advanced features such as polynomial regression, EMA smoothing, confidence bands, and cross-validation metrics, this indicator offers a comprehensive approach for traders to gain insights into future price trends while maintaining realistic error margins.

Key Features:
Exponential Moving Average (EMA) Integration
The FTI incorporates a user-configurable EMA to smooth out short-term price fluctuations and highlight the overall market trend. This provides a stable and reliable reference for assessing price action.

Noise Reduction via Median Filter
To improve signal clarity, the source data is processed using a Median Filter, effectively reducing the impact of outliers and market noise. This ensures that the forecast focuses on meaningful price movements.

Polynomial Regression Forecast
A polynomial regression model is used to project future price movements based on historical data. This advanced statistical approach models potential non-linear trends, offering a sophisticated and adaptive forecast for the next specified period.

Confidence Bands for Forecast Accuracy
Upper and lower confidence bands are calculated using standard deviation, visually representing the potential error margin around the forecast. This feature provides traders with an understanding of the forecast's reliability and the expected price range.

Dynamic Visualization
The indicator uses visually appealing and intuitive plotting techniques:
A forecast line dynamically shifts based on polynomial regression and historical data.
Confidence bands are displayed with semi-transparent green (upper) and red (lower) shading for quick visual interpretation.

The EMA is displayed as a blue line for smooth trend observation.

Cross-Validation with RMSE (Root Mean Square Error)

The indicator includes an error metric to measure the accuracy of its forecast against actual future price movements. The RMSE is displayed as a yellow label on the chart, helping traders evaluate the forecast's historical precision.

Flexible Data Source
By default, the FTI uses hlc3 (the average of high, low, and close prices) as its source, providing a balanced view of market activity. Traders can easily customize this input to suit their preferences.

Forecast Customization
Users can configure the length of the forecast, moving average, and EMA to tailor the indicator to different trading styles and timeframes.

Short-Term Traders (Scalping/Day Trading)
EMA Length: 10
Moving Average Length: 5 to 10
Forecast Length: 50
Source: hlc3 (default)
Adjust noise filter (src_filtered) only if necessary.

Medium-Term Traders (Swing Trading)
EMA Length: 20
Moving Average Length: 10 to 20
Forecast Length: 100
Source: hlc3 (default)
Confidence bands can help manage risk for swing trades.

Long-Term Traders (Position Trading)
EMA Length: 50 to 200
Moving Average Length: 20 to 50
Forecast Length: 200
Source: hlc3 or ohlc4 for smoothing.

General Adjustments for Specific Markets:

Crypto (Highly Volatile)
EMA Length: 10 to 20
Moving Average Length: 10
Forecast Length: 50 to 100
Median filter length: 5

Forex (Moderately Volatile)
EMA Length: 20 to 50
Moving Average Length: 20
Forecast Length: 100
Median filter length: 5

Stocks/Indices (Less Volatile)
EMA Length: 50
Moving Average Length: 20
Forecast Length: 100 to 200
Median filter length: 5