# Quadratic Regression
# Robert Payne
# funwiththinkscript.com
input length = 20;
def n = length;
def bn = BarNumber();
def lastBar = HighestAll(if IsNaN(close) then 0 else bn);
def x = bn;
def y = close;
# calculate summation values
def startBar = lastBar - (n - 1);
def sumX = if bn < startBar then 0 else x + sumX[1];
def sumY = if bn < startBar then 0 else y + sumY[1];
def sumX2 = if bn < startBar then 0 else Power(x, 2) + sumX2[1];
def sumX3 = if bn < startBar then 0 else Power(x, 3) + sumX3[1];
def sumX4 = if bn < startBar then 0 else Power(x, 4) + sumX4[1];
def sumXY = if bn < startBar then 0 else x * y + sumXY[1];
def sumX2Y...
# Quadratic Regression
# Robert Payne
# funwiththinkscript.com
input length = 20;
def n = length;
def bn = BarNumber();
def lastBar = HighestAll(if IsNaN(close) then 0 else bn);
def x = bn;
def y = close;
# calculate summation values
def startBar = lastBar - (n - 1);
def sumX = if bn < startBar then 0 else x + sumX[1];
def sumY = if bn < startBar then 0 else y + sumY[1];
def sumX2 = if bn < startBar then 0 else Power(x, 2) + sumX2[1];
def sumX3 = if bn < startBar then 0 else Power(x, 3) + sumX3[1];
def sumX4 = if bn < startBar then 0 else Power(x, 4) + sumX4[1];
def sumXY = if bn < startBar then 0 else x * y + sumXY[1];
def sumX2Y = if bn < startBar then 0 else Power(x, 2) * y + sumX2Y[1];
# intermediary calculations
def xx = sumX2 - Power(sumX, 2) / n;
def xy = sumXY - (sumX * sumY / n);
def xx2 = sumX3 - (sumX2 * sumX / n);
def x2y = sumX2Y - (sumX2 * sumY / n);
def x2x2 = sumX4 - (Power(sumX2, 2) / n);
# calculate coefficients for the quadratic equation
def a0 = (x2y * xx - xy * xx2) / (xx * x2x2 - Power(xx2, 2));
def b0 = (xy * x2x2 - x2y * xx2) / (xx * x2x2 - Power(xx2, 2));
def c0 = sumY / n - b0 * sumX / n - a0 * sumX2 / n;
# for a, b, and c use the final value on the last bar of the chart for all calculations
def a = GetValue(a0, bn - lastBar);
def b = GetValue(b0, bn - lastBar);
def c = GetValue(c0, bn - lastBar);
# calculate and plot the regression curve
plot theCurve = if bn < startBar then Double.NaN else a * Power(x, 2) + b * x + c;
#####
I was looking for a PRC but not seeing one? Don Monkey made one but it's not shared. It's a fancy LRC that fits the price better. I am a mean reversion trader so I would use them for range estimates.@Jonas99 How is the TradingView version different from all the COGs, Hursts, and Polynomial Regression already written for ToS?
Given that these are the worst of the worst repainters, how do you use this in your strategy?
@markos This Quad regression line looks impressive. Any idea how can to make two lines like a channel instead of single line ? higher line touching highs and lower line touching lows@hockeycoachdoug
See if this is what you're looking for. I found it in the Thinkscript Cloud.
Code:# Quadratic Regression # Robert Payne # funwiththinkscript.com input length = 20; def n = length; def bn = BarNumber(); def lastBar = HighestAll(if IsNaN(close) then 0 else bn); def x = bn; def y = close; # calculate summation values def startBar = lastBar - (n - 1); def sumX = if bn < startBar then 0 else x + sumX[1]; def sumY = if bn < startBar then 0 else y + sumY[1]; def sumX2 = if bn < startBar then 0 else Power(x, 2) + sumX2[1]; def sumX3 = if bn < startBar then 0 else Power(x, 3) + sumX3[1]; def sumX4 = if bn < startBar then 0 else Power(x, 4) + sumX4[1]; def sumXY = if bn < startBar then 0 else x * y + sumXY[1]; def sumX2Y = if bn < startBar then 0 else Power(x, 2) * y + sumX2Y[1]; # intermediary calculations def xx = sumX2 - Power(sumX, 2) / n; def xy = sumXY - (sumX * sumY / n); def xx2 = sumX3 - (sumX2 * sumX / n); def x2y = sumX2Y - (sumX2 * sumY / n); def x2x2 = sumX4 - (Power(sumX2, 2) / n); # calculate coefficients for the quadratic equation def a0 = (x2y * xx - xy * xx2) / (xx * x2x2 - Power(xx2, 2)); def b0 = (xy * x2x2 - x2y * xx2) / (xx * x2x2 - Power(xx2, 2)); def c0 = sumY / n - b0 * sumX / n - a0 * sumX2 / n; # for a, b, and c use the final value on the last bar of the chart for all calculations def a = GetValue(a0, bn - lastBar); def b = GetValue(b0, bn - lastBar); def c = GetValue(c0, bn - lastBar); # calculate and plot the regression curve plot theCurve = if bn < startBar then Double.NaN else a * Power(x, 2) + b * x + c; #####
If it works, please post a picture here!
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