//CyberMan's Linear Regression Channel.
//Linear Regression Line with 2 Standard Deviation Channels Plotted Above and Below
//The original was written by Patrick Hargus, with critical hints from Marcin Gorzynski, Amibroker.com Technical Support
//Wysiwyg coded the angle in degrees part
//I modified the original Linear Regression code so that the line will change color based on the degree of the Linear Regression slope.
//I combine this with my trading system.
//When my system gives an entry signal I look at the Linear Regression Line and I will only take long positions if the Linear Regression line is green and the entry price is below the LR line.
//When my system gives an entry signal I look at the Linear Regression Line and I will only take short positions if the Linear Regression line is red and the entry price is above the LR line.
//It is usefull for filtering out lower probability trades.
//================================================Start Chart Configuration============================================================================
SetChartOptions(0,chartShowArrows|chartShowDates);
_N(Title = StrFormat("{{NAME}} - {{INTERVAL}} {{DATE}} Open %g, Hi %g, Lo %g, Close %g (%.1f%%) Vol " +WriteVal( V, 1.0 ) +" {{VALUES}}", O, H, L, C, SelectedValue( ROC( C, 1 )) ));
SetChartBkColor(colorBlack);
Plot( C, "Close", colorWhite, styleBar, Zorder = 1);
SetChartOptions(0,chartShowArrows | chartShowDates);
//================================================End Chart Configuration===============================================================================
//====================================Start of Linear Regression Code==================================================================================
P = ParamField("Price field",-1);
Length = 150;
Daysback = Param("Period for Liner Regression Line",Length,1,240,1);
shift = Param("Look back period",0,0,240,1);
//=============================== Math Formula ========================================================================================================
x = Cum(1);
lastx = LastValue( x ) - shift;
aa = LastValue( Ref(LinRegIntercept( p, Daysback), -shift) );
bb = LastValue( Ref(LinRegSlope( p, Daysback ), -shift) );
y = Aa + bb * ( x - (Lastx - DaysBack +1 ) );
//==================Plot the Linear Regression Line ====================================================================================================
LRColor = ParamColor("LR Color", colorCycle );
LRStyle = ParamStyle("LR Style");
LRLine = IIf( x > (lastx - Daysback) AND BarIndex() < Lastx, y, Null );
LRStyle = ParamStyle("LR Style");
Angle = Param("Angle", 0.05, 0, 1.5, 0.01);// A slope higher than 0.05 radians will turn green, less than -0.05 will turn red and anything in between will be white.
LRLine = IIf( x > (lastx - Daysback) AND BarIndex() < Lastx, y, Null );
Pi = 3.14159265 * atan(1); // Pi
SlopeAngle = atan(bb)*(180/Pi);
LineUp = SlopeAngle > Angle;
LineDn = SlopeAngle < - Angle;
if(LineUp)
{
Plot(LRLine, "Lin. Reg. Line Up", IIf(LineUp, colorBrightGreen, colorWhite), LRStyle);
}
else
{
Plot(LRLine, "Lin. Reg. Line Down", IIf(LineDn, colorDarkRed, colorWhite), LRStyle);
}
//========================== Plot 1st SD Channel ======================================================================================================
SDP = Param("Standard Deviation", 1.5, 0, 6, 0.1);
SD = SDP/2;
width = LastValue( Ref(SD*StDev(p, Daysback),-shift) ); //Set width of inside chanels here.
SDU = IIf( x > (lastx - Daysback) AND BarIndex() < Lastx, y+width , Null ) ;
SDL = IIf( x > (lastx - Daysback) AND BarIndex() < Lastx, y-width , Null ) ;
SDColor = ParamColor("SD Color", colorCycle );
SDStyle = ParamStyle("SD Style");
Plot( SDU , "Upper Lin Reg", colorWhite,SDStyle ); //Inside Regression Lines
Plot( SDL , "Lower Lin Reg", colorWhite,SDStyle ); //Inside Regression Lines
//========================== Plot 2d SD Channel ========================================================================================================
SDP2 = Param("2d Standard Deviation", 2.0, 0, 6, 0.1);
SD2 = SDP2/2;
width2 = LastValue( Ref(SD2*StDev(p, Daysback),-shift) ); //Set width of outside chanels here.
SDU2 = IIf( x > (lastx - Daysback) AND BarIndex() < Lastx, y+width2 , Null ) ;
SDL2 = IIf( x > (lastx - Daysback) AND BarIndex() < Lastx, y-width2 , Null ) ;
SDColor2 = ParamColor("2 SD Color", colorCycle );
SDStyle2 = ParamStyle("2 SD Style");
Plot( SDU2 , "Upper Lin Reg", colorWhite,SDStyle2 ); //OutSide Regression Lines
Plot( SDL2 , "Lower Lin Reg", colorWhite,SDStyle2 ); //OutSide Regression Lines
Trend = IIf(LRLine > Ref(LRLine,-1),colorGreen,colorRed);//Changes LR line to green if sloping up and red if sloping down.
Plot( LRLine , "LinReg", Trend, LRSTYLE );
//============================ End Indicator Code ==============================================
