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Patrick  
#1 Posted : Friday, August 19, 2005 4:41:49 PM(UTC)
Patrick

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For interpretation refer to the article "Standard Error Bands", in the September 96 issue of TASC, written by Jon Anderson. 21 period Upper Band (smoothed): Mov((21 * Sum(Cum(1) * C,21) - Sum(Cum(1),21) * Sum(C,21)) / (21 * Sum(Pwr(Cum(1),2),21) - Pwr(Sum(Cum(1),21),2)) * Cum(1) + (Mov(C,21,S) - Mov(Cum(1),21,S) * (21 * Sum(Cum(1) * C,21) - Sum(Cum(1),21) * Sum(C,21))/ (21 * Sum(Pwr(Cum(1),2),21) - Pwr(Sum(Cum(1),21),2))) +2*(Sqrt(((Sum(Power(C,2),21)-(Power(Sum(C,21),2)/21)) -((Sum(Cum(1)*C,21))-((Sum(Cum(1),21)*Sum(C,21)/21)))/ ((Sum(Power(Cum(1),2),21))-(Power(Sum(Cum(1),21),2)/21)) *((Sum(Cum(1)*C,21))-((Sum(Cum(1),21)*Sum(C,21)/21)))) /19)),3,S) 21 period Lower Band (smoothed): Mov((21 * Sum(Cum(1) * C,21) - Sum(Cum(1),21) * Sum(C,21)) / (21 * Sum(Pwr(Cum(1),2),21) - Pwr(Sum(Cum(1),21),2)) * Cum(1) +(Mov(C,21,S) - Mov(Cum(1),21,S) * (21 * Sum(Cum(1) * C,21) - Sum(Cum(1),21) * Sum(C,21))/ (21 * Sum(Pwr(Cum(1),2),21) - Pwr(Sum(Cum(1),21),2))) - 2*(Sqrt(((Sum(Power(C,2),21)-(Power(Sum(C,21),2)/21)) -((Sum(Cum(1)*C,21))- ((Sum(Cum(1),21) * Sum(C,21)/21))) / ((Sum(Power(Cum (1),2),21))-(Power(Sum(Cum(1),21),2)/21))*((Sum(Cum(1)*C,21))- ((Sum(Cum(1),21)*Sum(C,21)/21)))) /19)),3,S) 21 period R2 (smoothed): Mov((Pwr(Corr(Cum(1),C,21,0),2)),3,S) 21 period Regression Slope: (((Sum(Cum(1)*C,21))-(Sum(Cum(1),21)*Sum(C,21)/21)) / ((Sum(Power(Cum(1),2),21))-(Power(Sum(Cum(1),21),2)/21))) 21 period %A: ((C-Fml("21 period lower band (smoothed)")) / (Fml("21 period upper band(smoothed)") -Fml("21 period lower band (smoothed)"))) 21 period Regression (smoothed): Mov((21*Sum(Cum(1)*C,21)-Sum(Cum(1),21)*Sum(C,21))/ (21*Sum(Pwr(Cum(1),2),21)-Pwr(Sum(Cum(1),21),2))*Cum(1) +(Mov(C,21,S) - Mov(Cum(1),21,S) * (21*Sum(Cum(1) * C,21) - Sum(Cum(1),21)*Sum(C,21))/(21*Sum(Pwr(Cum(1),2),21) -Pwr(Sum(Cum(1),21),2))),3,S)
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Jose  
#2 Posted : Saturday, August 20, 2005 7:50:10 AM(UTC)
Jose

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Also check out these related formulae: [code:1:87a52f2e14]MetaStock -> Tools -> Indicator Builder -> New Copy and paste formulae below. ====================================== Linear Regression Trendline & Channels ====================================== ---8<--------------------------------- { Linear Regression Trendline & Channels v4.0 } { ©Copyright 2004-2005 Jose Silva } { For personal use only } { http://www.metastocktools.com } { User Inputs } pds:=Input("Linear Regression Trendline periods",2,2520,63); multi:=Input("Standard Deviations(+) / Errors(-)",-100,100,2); EnDay:=Input("end Day",1,31,31); EnMnth:=Input("end Month",1,12,12); EnYear:=Input("end Year",1800,2200,2010); x:=Input("use: Open=1 Hi=2 Lo=3 Close=4 WghtCl=5 Volume=6",1,6,4); x:=If(x=1,O,If(x=2,H,If(x=3,L,If(x=5,WC(),If(x=6,V,C))))); { End date point } end:=Year()>EnYear OR (Year()=EnYear AND (Month()>EnMnth OR Month()=EnMnth AND DayOfMonth()>=EnDay)); end:=end AND Alert(end=0,2); end:=If(LastValue(Cum(Ref(end,pds)))=0, LastValue(Cum(1))=Cum(1),end); { Linear Regression Trend/Slope end-points } lastValLRI:=LastValue(Highest( If(end,LinearReg(x,pds),0))); lastValLRS:=LastValue(Highest( If(end,LinRegSlope(x,pds),-10000))); adjust:=LastValue(LastValue(Cum(1)) -Highest(If(end,Cum(1),0))); countback:=LastValue(Cum(1))-Cum(1)-adjust; { Rem next line to extend plot to end of chart } countback:=Ref(Ref(countback,-adjust),adjust); { Lin Reg Trendline } LR:=lastValLRI-lastValLRS*countback; restrict:=adjust-(LastValue(Cum(1))-pds); LRT:=Ref(Ref(LR,-restrict),restrict); { Lin Reg StdDev/StdError channels } bandType:=If(multi>=0,Stdev(x,pds),STE(x,pds)); diff:=ValueWhen(1,Cum(IsDefined(LRT))=1, bandType*Abs(multi)); upLR:=LRT+diff; lwLR:=LRT-diff; { Plot on price chart } upLR;lwLR;LRT ---8<--------------------------------- =================================== Linear Regression Trendline & Bands =================================== ---8<------------------------------ { Linear Regression Trendline & Bands v4.0 } { ©Copyright 2004-2005 Jose Silva } { For personal use only } { http://www.metastocktools.com } { User Inputs } pds:=Input("Linear Regression Trendline periods",2,2520,63); multi:=Input("Standard Deviations(+) / Errors(-)",-100,100,2); EnDay:=Input("end Day",1,31,31); EnMnth:=Input("end Month",1,12,12); EnYear:=Input("end Year",1800,2200,2010); x:=Input("use: Open=1 Hi=2 Lo=3 Close=4 WghtCl=5 Volume=6",1,6,4); x:=If(x=1,O,If(x=2,H,If(x=3,L,If(x=5,WC(),If(x=6,V,C))))); { End date point } end:=Year()>EnYear OR (Year()=EnYear AND (Month()>EnMnth OR Month()=EnMnth AND DayOfMonth()>=EnDay)); end:=end AND Alert(end=0,2); end:=If(LastValue(Cum(Ref(end,pds)))=0, LastValue(Cum(1))=Cum(1),end); { Linear Regression Trend/Slope end-points } lastValLRI:=LastValue(Highest( If(end,LinearReg(x,pds),0))); lastValLRS:=LastValue(Highest( If(end,LinRegSlope(x,pds),-10000))); adjust:=LastValue(LastValue(Cum(1)) -Highest(If(end,Cum(1),0))); countback:=LastValue(Cum(1))-Cum(1)-adjust; { Rem next line to extend plot to end of chart } countback:=Ref(Ref(countback,-adjust),adjust); { Lin Reg Trendline } LR:=lastValLRI-lastValLRS*countback; restrict:=adjust-(LastValue(Cum(1))-pds); LRT:=Ref(Ref(LR,-restrict),restrict); { Lin Reg StdDev/StdError bands } bandType:=If(multi>=0,Stdev(x,pds),STE(x,pds)); upLR:=LRT+bandType*Abs(multi); lwLR:=LRT-bandType*Abs(multi); { Plot on price chart } upLR;lwLR;LRT ---8<------------------------------ [/code:1:87a52f2e14] jose '-) http://www.metastocktools.com .
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