Linear and Multiple Regression Channels. Free Regression Metatrader Expert and Metatrader Indicator.

Regression in probability theory and mathematical statistics, the average value of the dependence of any value from some other values or from a few variables. In contrast to  functional dependence y = f (x) when the value of each independent variable x corresponds to a certain value have, with regard regression to the same value x can match as the case may be different from values.The general form of each type of regression is:

Linear Regression: Y = a + bX + u
Multiple Regression: Y = a + b1X1 +  b2X2 + B3X3 + ...
+ BtXt + u

Where:
Y= the variable that we are trying to predict
X= the variable that we are using to predict Y
a= the intercept
b= the slope
u= the regression residual.

In multiple regression the separate variables are differentiated by using subscripted numbers.

Regression takes a group of random variables, thought to be predicting Y, and tries to find a mathematical relationship between them. This relationship is typically in the form of a straight line (linear regression) that best approximates all the individual data points.

            Multiple regression is a mathematical technique used in both technical and fundamental analysis. The technique uses a number of variables to predict some unknown variable.  In technical analysis simple regression of price changes over a period of time can also help identify what has been acceptable in terms of valuation levels and project those acceptable levels into the future.  Different time periods produce different regression results and can help identify potential price projections when the major long term trends of the market change direction.
           
Linear Regression Channel consists of two parallel lines, equidistant up and down from the line of linear regression trend. The distance between frame of the channel and regression line equals to the value of maximum close price deviation from the regression line.


 
Second-power (Parabolic)  Polynomial Regression Channel


 
Third-power  Polynomial Regression Channel



Metatrader Indicator i-Regr


Degree - power of
Polynomial:   1- linear; 2- parabolic; 3- Third-power



 
Metatrader Expert Advisor based on Regression Channel Metatrader Indicator
 
If price lower than under line - Buy
If price bigger than upper line  - Sell




TakeProfit by average line.
Stop Loss = 0 but you can set Stop Loss
Trend Protection: If  D1 candle (for previously day)  bigger than 150 pips – trade prohibition and  close all opened position.
 
 
 
Warning: The Expert advisor e-Regr was not adjusted and not optimized. Read more about metatrader expert advisors optimization.
 
I agree to answer a couple of additional questions and get i-Regr metatrader  indicator and e-Regr metatrader expert advisors via e-mail for FREE!
 
Best regards,
BJF Trading Group

 

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Comments

  • 10/22/2008 5:11 AM Amol wrote:
    Respected sir,
    Thank you very much for regression indicator its very fine & give clear indication when to trade. its success rate is very good.
    Reply to this
  • 11/11/2008 4:25 PM Dave wrote:
    I would agree it seems to be a very nice indy. Would be even better if an alert was added for manual trades.
    Reply to this
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