RSI with Self-Adjusting Linear Regression Bands (Expo)

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//My scripts/indicators/ideas are only for educational purposes!
//Copyright by Zeiierman
// This source code is subject to the terms of the Mozilla Public License 2.0 at https://mozilla.org/MPL/2.0/
// © Zeiierman

//@version=5
indicator('RSI with Self-Adjusting Linear Regression Bands (Expo)', shorttitle='RSI + Linreg Bands (Expo)', max_bars_back=500, precision=1)

//Credit to: RafaelZioni
//Adjustment on the following code
//https://es.tradingview.com/script/wwWnxGus-Linear-Regression-Trend-bands/

showlast = input(1000)
// --- settings
section1 = input(true, '─────────── 1.0 RSI Settings ───────────')
rsi_src_ = input.source(close, title='RSI Source', group='1.0 Source')
len = input.int(14, title='RSI Length', group='1.1 RSI Length')

section2 = input(true, '─────────── 2.0 Linear Regression Settings ───────────')
period = input.int(100, title='Period', group='2.0 Linear Regression Period')
deviations = input.float(2.5, step=0.1, title='Deviation', group='2.1 Deviation')
// --- end of settings

// --- Line
section3 = input(true, '─────────── 3.0 Overbought & Oversold Settings ───────────')
Overbought = input.int(80, title='> Overbought', group='3.0  Overbought & Oversold', inline='Overbought')
Oversold = input.int(20, title='> Oversold', group='3.0  Overbought & Oversold', inline='Overbought')

// --- Calc
rsi = ta.wma(ta.rsi(rsi_src_, len), 5)
periodMinusOne = period - 1

Ex = 0.0
Ey = 0.0
Ex2 = 0.0
Exy = 0.0
ExEx = 0.0
for i = 0 to periodMinusOne by 1
    closeI = rsi[i]
    Ex += i
    Ey += closeI
    Ex2 += i * i
    Exy += closeI * i
    ExEx := Ex * Ex
    ExEx


//slope
float slope = na
if Ex2 != ExEx
    slope := (period * Exy - Ex * Ey) / (period * Ex2 - ExEx)
    slope


ilinearRegression = (Ey - slope * Ex) / period
intercept = ilinearRegression + bar_index * slope
deviation = 0.0
for i = 0 to periodMinusOne by 1
    deviation += math.pow(rsi[i], 2) - (intercept - slope * bar_index[i])
    break

deviationNew = deviations * math.sqrt(deviation / periodMinusOne)
startingPointY = ta.wma(ilinearRegression + slope / periodMinusOne, 5)


// RSI_Adjust Up and Down
adjust_up = startingPointY + ta.stdev(rsi, 20)
adjust_down = startingPointY - ta.stdev(rsi, 20)

// Final Conditions
a = startingPointY - deviationNew + adjust_down / 20
c1 = startingPointY
b = startingPointY + deviationNew - adjust_up / 20

//lineColor
col = startingPointY > startingPointY[1] ? color.blue : color.red

// Rsi Plot
prsi = plot(rsi, color=col, title='RSI', show_last=showlast)

// Curve Plot
Lower_Curve = ta.wma(a, 5)
Upper_Curve = ta.wma(b, 5)

LowerCurve = plot(Lower_Curve, color=color.new(color.red, 0), title='Lower Curve', show_last=showlast)
plot(c1, color=color.new(color.aqua, 20), title='Mid Curve', show_last=showlast)
UpperCurve = plot(Upper_Curve, color=color.new(color.green, 0), title='Upper Curve', show_last=showlast)


fill(prsi, LowerCurve, color=rsi < a ? color.red : color.new(color.blue, 100), title='Lower Curve Fill', show_last=showlast, transp=90)
fill(prsi, UpperCurve, color=rsi > b ? color.green : color.new(color.blue, 100), title='Upper Curve Fill', show_last=showlast, transp=90)

abcolor = color.new(color.blue, 100)
fill(LowerCurve, UpperCurve, color=abcolor, title='Fill', show_last=showlast, transp=100)

// ---
hline(Overbought, title='Overbought')
hline(50, title='Mid Line')
hline(Oversold, title='Oversold')



//------------------------------------------------------------------------------------
// Alerts
//------------------------------------------------------------------------------------


RSI_Upper_Curve_CrossUp = ta.crossover(rsi, Upper_Curve)
RSI_Upper_Curve_CrossDn = ta.crossunder(rsi, Upper_Curve)

RSI_Lower_Curve_CrossDn = ta.crossunder(rsi, Lower_Curve)
RSI_Lower_Curve_CrossUp = ta.crossover(rsi, Lower_Curve)

alertcondition(RSI_Upper_Curve_CrossUp, title='1.0 RSI CrossOver Upper Curve', message='RSI CrossOver Upper Curve')
alertcondition(RSI_Upper_Curve_CrossDn, title='1.1 RSI CrossUnder Upper Curve', message='RSI CrossUnder Upper Curve')

alertcondition(RSI_Lower_Curve_CrossDn, title='2.0 RSI CrossUnder Lower Curve', message='RSI CrossUnder Lower Curve')
alertcondition(RSI_Lower_Curve_CrossUp, title='2.1 RSI CrossOver Lower Curve', message='RSI CrossOver Lower Curve')


// + Overbought/Oversold
Overbought_ = rsi > Overbought
Oversold_ = rsi < Oversold

RSI_Upper_Curve_CrossUp_Overbought = ta.crossover(rsi, Upper_Curve) and Overbought_
RSI_Upper_Curve_CrossDn_Overbought = ta.crossunder(rsi, Upper_Curve) and Overbought_

RSI_Lower_Curve_CrossDn_Oversold = ta.crossunder(rsi, Lower_Curve) and Oversold_
RSI_Lower_Curve_CrossUp_Oversold = ta.crossover(rsi, Lower_Curve) and Oversold_


alertcondition(RSI_Upper_Curve_CrossUp_Overbought, title='3.0 RSI Overbought & CrossOver Upper Curve', message='RSI Overbought & CrossOver Upper Curve')
alertcondition(RSI_Upper_Curve_CrossDn_Overbought, title='3.1 RSI Overbought & CrossUnder Upper Curve', message='RSI Overbought & CrossUnder Upper Curve')

alertcondition(RSI_Lower_Curve_CrossDn_Oversold, title='4.0 RSI Oversold & CrossUnder Lower Curve', message='RSI Oversold & CrossUnder Lower Curve')
alertcondition(RSI_Lower_Curve_CrossUp_Oversold, title='4.1 RSI Oversold & CrossOver Lower Curve', message='RSI Oversold & CrossOver Lower Curve')


// Trend Alert
RSI_Over_Upper_Curve = rsi > Upper_Curve
RSI_Under_Lower_Curve = rsi < Lower_Curve

RSI_Shift_up = rsi[2] > rsi[1] and rsi > rsi[1]
RSI_Shift_dn = rsi[2] < rsi[1] and rsi < rsi[1]

TrendUp = RSI_Over_Upper_Curve and RSI_Shift_up
TrendDn = RSI_Under_Lower_Curve and RSI_Shift_dn


alertcondition(TrendUp and not TrendUp[1], title='5.0 Trend Continuation Up ', message='Trend Continuation Up')
alertcondition(TrendDn and not TrendDn[1], title='5.1 Trend Continuation Dn', message='Trend Continuation Dn')