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RSI Forecast [Titans_Invest]

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RSI Forecast [Titans_Invest]
Introducing one of the most impressive RSI indicators ever created – arguably the best on TradingView, and potentially the best in the world.
RSI Forecast is a visionary evolution of the classic RSI, merging powerful customization with groundbreaking predictive capabilities. While preserving the core principles of traditional RSI, it takes analysis to the next level by allowing users to anticipate potential future RSI movements.

Real-Time RSI Forecasting:
For the first time ever, an RSI indicator integrates linear regression using the least squares method to accurately forecast the future behavior of the RSI. This innovation empowers traders to stay one step ahead of the market with forward-looking insight.

Highly Customizable:
Easily adapt the indicator to your personal trading style. Fine-tune a variety of parameters to generate signals perfectly aligned with your strategy.

Innovative, Unique, and Powerful:
This is the world’s first RSI Forecast to apply this predictive approach using least squares linear regression. A truly elite-level tool designed for traders who want a real edge in the market.


SCIENTIFIC BASIS LINEAR REGRESSION

Linear Regression is a fundamental method of statistics and machine learning, used to model the relationship between a dependent variable y and one or more independent variables 𝑥.

The general formula for a simple linear regression is given by:

y = β₀ + β₁x + ε

Where:
y   = is the predicted variable (e.g. future value of RSI)
x ​​  = is the explanatory variable (e.g. time or bar index)
β0 = is the intercept (value of 𝑦 when 𝑥 = 0)
𝛽1 = is the slope of the line (rate of change)
ε   = is the random error term

The goal is to estimate the coefficients 𝛽0 and 𝛽1 ​​so as to minimize the sum of the squared errors — the so-called Random Error Method Least Squares.


LEAST SQUARES ESTIMATION

To minimize the error between predicted and observed values, we use the following formulas:

β₁ = [∑(x_i - x̄)(y_i - ȳ)] / [∑(x_i - x̄)²]
β₀ = ȳ - β₁x̄

Where:
∑ = sum
x̄ = mean of x
ȳ = mean of y

x_i, y_i = individual values ​​of the variables.

Where:
x_i and y_i are the means of the independent and dependent variables, respectively.
i ranges from 1 to n, the number of observations.

These equations guarantee the best linear unbiased estimator, according to the Gauss-Markov theorem, assuming homoscedasticity and linearity.


LINEAR REGRESSION IN MACHINE LEARNING

Linear regression is one of the cornerstones of supervised learning. Its simplicity and ability to generate accurate quantitative predictions make it essential in AI systems, predictive algorithms, time series analysis, and automated trading strategies.

By applying this model to the RSI, you are literally putting artificial intelligence at the heart of a classic indicator, bringing a new dimension to technical analysis.


VISUAL INTERPRETATION

Imagine an RSI time series like this:

Time → [..............]
RSI    → [ 68, 65, 61, 59, 57, ... ]

The regression line will smooth these values ​​and extend them n periods into the future, creating a predicted trajectory based on the historical moment. This line becomes the predicted RSI, which can be crossed with the actual RSI to generate more intelligent signals.


SUMMARY OF SCIENTIFIC CONCEPTS USED
  • Linear Regression Models the relationship between variables using a straight line.
  • Least Squares Minimizes the sum of squared errors between prediction and reality.
  • Time Series Forecasting Estimates future values ​​based on historical data.
  • Supervised Learning Trains models to predict outputs from known inputs.
  • Statistical Smoothing Reduces noise and reveals underlying trends.


WHY THIS INDICATOR IS REVOLUTIONARY
  • Scientifically-based: Based on statistical theory and mathematical inference.
  • Unprecedented: First public RSI with least squares predictive modeling.
  • Intelligent: Built with machine learning logic.
  • Practical: Generates forward-thinking signals.
  • Customizable: Flexible for any trading strategy.


CONCLUSION

By combining RSI with linear regression, this indicator allows a trader to predict market momentum, not just follow it.
RSI Forecast [Titans_Invest] is not just an indicator — it is a scientific breakthrough in technical analysis technology.


⯁ Example of simple linear regression, which has one independent variable:
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⯁ In linear regression, observations ( red ) are considered to be the result of random deviations ( green ) from an underlying relationship ( blue ) between a dependent variable ( y ) and an independent variable ( x ).
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⯁ Visualizing heteroscedasticity in a scatterplot against 100 random fitted values ​​using Matlab:
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⯁ The data sets in the Anscombe's quartet are designed to have approximately the same linear regression line (as well as nearly identical means, standard deviations, and correlations) but are graphically very different. This illustrates the pitfalls of relying solely on a fitted model to understand the relationship between variables.
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⯁ The result of fitting a set of data points with a quadratic function:
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🥇 This is the world’s first RSI indicator with: Linear Regression for Forecasting 🥇_______________________________________________________________________

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🔮 Linear Regression: PineScript Technical Parameters 🔮
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Forecast Types:

• Flat: Assumes prices will remain the same.
• Linreg: Makes a 'Linear Regression' forecast for n periods.

Technical Information:

ta.linreg (built-in function)

Linear regression curve. A line that best fits the specified prices over a user-defined time period. It is calculated using the least squares method. The result of this function is calculated using the formula: linreg = intercept + slope * (length - 1 - offset), where intercept and slope are the values ​​calculated using the least squares method on the source series.

Syntax:

• Function: ta.linreg()

Parameters:
• source: Source price series.
• length: Number of bars (period).
• offset: Offset.
• return: Linear regression curve.

This function has been cleverly applied to the RSI, making it capable of projecting future values ​​based on past statistical trends.
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⯁ WHAT IS THE RSI❓
The Relative Strength Index (RSI) is a technical analysis indicator developed by J. Welles Wilder. It measures the magnitude of recent price movements to evaluate overbought or oversold conditions in a market. The RSI is an oscillator that ranges from 0 to 100 and is commonly used to identify potential reversal points, as well as the strength of a trend.

⯁ HOW TO USE THE RSI❓
The RSI is calculated based on average gains and losses over a specified period (usually 14 periods). It is plotted on a scale from 0 to 100 and includes three main zones:

  •  Overbought: When the RSI is above 70, indicating that the asset may be overbought.
  •  Oversold: When the RSI is below 30, indicating that the asset may be oversold.
  •  Neutral Zone: Between 30 and 70, where there is no clear signal of overbought or oversold conditions.
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⯁ ENTRY CONDITIONS
The conditions below are fully flexible and allow for complete customization of the signal.
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🔹 CONDITIONS TO BUY 📈
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  •  Signal Validity: The signal will remain valid for X bars.
  •  Signal Sequence: Configurable as AND or OR.

📈 RSI Conditions:
🔹 RSI > Upper
🔹 RSI < Upper
🔹 RSI > Lower
🔹 RSI < Lower
🔹 RSI > Middle
🔹 RSI < Middle
🔹 RSI > MA
🔹 RSI < MA

📈 MA Conditions:
🔹 MA > Upper
🔹 MA < Upper
🔹 MA > Lower
🔹 MA < Lower

📈 Crossovers:
🔹 RSI (Crossover) Upper
🔹 RSI (Crossunder) Upper
🔹 RSI (Crossover) Lower
🔹 RSI (Crossunder) Lower
🔹 RSI (Crossover) Middle
🔹 RSI (Crossunder) Middle
🔹 RSI (Crossover) MA
🔹 RSI (Crossunder) MA
🔹 MA (Crossover) Upper
🔹 MA (Crossunder) Upper
🔹 MA (Crossover) Lower
🔹 MA (Crossunder) Lower

📈 RSI Divergences:
🔹 RSI Divergence Bull
🔹 RSI Divergence Bear

📈 RSI Forecast:
🔮 RSI (Crossover) MA Forecast
🔮 RSI (Crossunder) MA Forecast
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🔸 CONDITIONS TO SELL 📉
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  •  Signal Validity: The signal will remain valid for X bars.
  •  Signal Sequence: Configurable as AND or OR.

📉 RSI Conditions:
🔸 RSI > Upper
🔸 RSI < Upper
🔸 RSI > Lower
🔸 RSI < Lower
🔸 RSI > Middle
🔸 RSI < Middle
🔸 RSI > MA
🔸 RSI < MA

📉 MA Conditions:
🔸 MA > Upper
🔸 MA < Upper
🔸 MA > Lower
🔸 MA < Lower

📉 Crossovers:
🔸 RSI (Crossover) Upper
🔸 RSI (Crossunder) Upper
🔸 RSI (Crossover) Lower
🔸 RSI (Crossunder) Lower
🔸 RSI (Crossover) Middle
🔸 RSI (Crossunder) Middle
🔸 RSI (Crossover) MA
🔸 RSI (Crossunder) MA
🔸 MA (Crossover) Upper
🔸 MA (Crossunder) Upper
🔸 MA (Crossover) Lower
🔸 MA (Crossunder) Lower

📉 RSI Divergences:
🔸 RSI Divergence Bull
🔸 RSI Divergence Bear

📉 RSI Forecast:
🔮 RSI (Crossover) MA Forecast
🔮 RSI (Crossunder) MA Forecast
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🤖 AUTOMATION 🤖

• You can automate the BUY and SELL signals of this indicator.
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⯁ UNIQUE FEATURES
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  1. Linear Regression: (Forecast)
  2. Signal Validity: The signal will remain valid for X bars
  3. Signal Sequence: Configurable as AND/OR
  4. Condition Table: BUY/SELL
  5. Condition Labels: BUY/SELL
  6. Plot Labels in the Graph Above: BUY/SELL
  7. Automate and Monitor Signals/Alerts: BUY/SELL

  1. Linear Regression (Forecast)
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  2. Signal Validity: The signal will remain valid for X barsistantanea
  3. Signal Sequence: Configurable as AND/ORistantanea
  4. Condition Table: BUY/SELL
    istantanea
  5. Condition Labels: BUY/SELL
    istantanea
  6. Plot Labels in the Graph Above: BUY/SELL
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  7. Automate and Monitor Signals/Alerts: BUY/SELL
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📜 SCRIPT : RSI Forecast [Titans_Invest]

🎴 Art by  : Titans_Invest & DiFlip
👨‍💻 Dev by : Titans_Invest & DiFlip

🎑 Titans Invest — The Wizards Without Gloves 🧤

✨ Enjoy!
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o Mission 🗺
• Inspire Traders to manifest Magic in the Market.

o Vision 𐓏
• To elevate collective Energy 𐓷𐓏

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