CoffeeShopCrytpo Dynamic PPIIn the financial world, the Producer Price Index (PPI) is often used to measure how domestic products are performing over time, indicating the health of the market. Domestic products refer to goods and services that are produced within a specific country’s borders. However, in this indicator, we’ve taken that idea and applied it directly to financial assets, allowing traders to see how an asset is performing relative to its own base value over a given period of time.
Here, the asset’s base value is represented as 100%. When the asset performs above 100%, it's considered to be in a buyer's market—indicating strength and demand. Conversely, if the value dips below 100%, it's operating below its base value, signaling a potential seller's market.
Why This Matters:
This indicator not only converts an asset’s performance into a PPI-style calculation, but it also visualizes price movements as price candles. This dual perspective is crucial, because even if the asset’s performance is over 100%, the closing price might still fall below that threshold—adding nuance to your understanding of market conditions.
Key Features of the Indicator:
Bullish and Bearish Convergence Levels: These levels show whether the market leans bullish or bearish. If the Bullish Convergence level is higher than the Bearish one, the market is bullish, and vice versa. Importantly, these levels can signal shifts in market strength, regardless of where the PPI candles are positioned.
If Bullish Convergence is rising below Bearish, the bearish market is weakening and bullish pressure is growing. Conversely, if Bearish Convergence is falling above Bullish, the bearish side is losing ground.
Market Strength Visualizations:
Strong Bullish Market: Bullish Convergence is higher than Bearish, and it’s still rising.
Strong Bearish Market: Bearish Convergence is above Bullish, and it's climbing.
Weak Bullish Market: Bullish Convergence is above Bearish, but the PPI closes below Bullish Convergence.
Weak Bearish Market: Bearish Convergence is above Bullish, but the PPI closes above Bullish Convergence
Pullbacks:
Bullish Pullback: In a strong bullish market, the PPI shows lower closes below the Bullish Convergence.
Bearish Pullback: In a strong bearish market, the PPI shows higher closes above the Bullish Convergence.
Divergences:
Higher Price, Lower or Flat PPI: This indicates that while the asset’s price is rising, its underlying performance (relative to the PPI’s 100% base level) is not keeping up. Essentially, the asset is reaching new price highs, but its strength or "efficiency" of growth is weakening.
The PPI is designed to show the "return" of an asset's performance relative to its historical movement, so when it lags behind price, it suggests that the price rise may not be sustainable.
When you observe the first high of the PPI level above the bullish convergence level, followed by a second high of the PPI below the bullish convergence level in a bullish market, this creates a divergence.
Example of Divergence in image:
1. First High of PPI Above the Bullish Convergence Level:
This suggests strong bullish momentum. The asset’s performance, as measured by the PPI, is in line with or even outperforming price expectations, indicating the market is experiencing a robust bullish trend. The fact that the PPI level is above the bullish convergence line means that the asset is operating well above its base performance (above 100%) and bullish momentum is clearly dominant.
2. Second High of PPI Below the Bullish Convergence Level:
This marks a potential weakening of the bullish momentum. Although the market is still in a bullish state (since bullish convergence remains above bearish), the PPI failing to reach the bullish convergence level suggests that the asset’s performance is not keeping pace with price action or is underperforming relative to its earlier high.
The fact that this occurs while the market is still bullish (bullish convergence is greater than bearish) can signal a possible pullback or a temporary consolidation phase within the larger bullish trend.
What does a divergence mean:
Momentum Weakening: The second high of the PPI being below the bullish convergence line suggests that while prices may still be increasing, the strength behind the move is fading. The asset is not performing as strongly as it did during the first high, and the market’s confidence or momentum might be softening.
Potential Bullish Pullback: This could indicate that a pullback or correction within the larger bullish trend is underway. Traders might be taking profits, or buyers could be losing enthusiasm, causing the asset to stall temporarily. However, because the overall market remains bullish, this doesn’t necessarily mean a full reversal—just a cooling off period.
Caution in New Long Positions: If you see this divergence, it could be a sign to be more cautious about opening new long positions. It suggests that the asset may need to consolidate or correct before resuming its upward trend, and it’s worth waiting for confirmation of renewed momentum before jumping back in.
ATR Settings
Youll notice there are two ATR settings. One for short term and one for long term.
These values are based on your preferential strategy for what you consider to be long and short term.
The final ATR values are calculated against eachother and applied to the Volatility Label at the end of price.
This label shows you the current ATR as well as the previous candle ATR.
Why this is important:
If the short term ATR is greater than the long term ATR, then volatility is rising in the short term greater than the long term.
This gives your label a value greater than 1.0. This means the short term trend is about to move.
If the long term ATR is greater than the short term ATR, there is no volatility in the short term and only long term exists.
This gives you a value of less than 1.0. This means no volatility or ranging market in the short term.
Regressionanalysis
Bitcoin wave modelBitcoin wave model is based on the logarithmic regression model and the sinusoidal waves, induced by the halving events.
This chart presents the outcome of an in-depth analysis of the complete set of Bitcoin price data available from October 2009 to August 2023.
The central concept is that the logarithm of the Bitcoin price closely adheres to the logarithmic regression model. If we plot the logarithm of the price against the logarithm of time, it forms a nearly straight line.
The parameters of this model are provided in the script as follows: log (BTCUSD) = 1.48 + 5.44log(h).
The secondary concept involves employing the inherent time unit of Bitcoin instead of days:
'h' denotes a slightly adjusted time measurement intrinsic to the Bitcoin blockchain. It can be approximated as (days since the genesis block) * 0.0007. Precisely, 'h' is defined as follows: h = 0 at the genesis block, h = 1 at the first halving block, and so forth. In general, h = block height / 210,000.
Adjustments are made to account for variations in block creation time.
The third concept revolves around investigating halving waves triggered by supply shock events resulting from the halvings. These halvings occur at regular intervals in Bitcoin's native time 'h'. All halvings transpire when 'h' is an integer. These events induce waves with intervals denoted as h = 1.
Consequently, we can model these waves using a sin(2pih - a) function. The parameter determining the time shift is assessed as 'a = 0.4', aligning with earlier expectations for halving events and their subsequent outcomes.
The fourth concept introduces the notion that the waves gradually diminish in amplitude over the progression of "time h," diminishing at a rate of 0.7^h.
Lastly, we can create bands around the modeled sinusoidal waves. The upper band is derived by multiplying the sine wave by a factor of 3.1*(1-0.16)^h, while the lower band is obtained by dividing the sine wave by the same factor, 3.1*(1-0.16)^h.
The current bandwidth is 2.5x. That means that the upper band is 2.5 times the lower band. These bands are forming an exceptionally narrow predictive channel for Bitcoin. Consequently, a highly accurate estimation of the peak of the next cycle can be derived.
The prediction indicates that the zenith past the fourth halving, expected around the summer of 2025, could result in prices ranging between 200,000 and 240,000 USD.
Enjoy the mathematical insights!
Triple Quadratic Regression - Supplementary UnderlayThis indicator is supplementary to our Triple Quadratic Regression overlaid indicator (which includes three step lines - a fast (fuchsia), a medium (yellow), and a slow (blue) quadratic regression line to help the user obtain a clearer picture of current trends).
Quadratic regression is better suited to determining (and predicting) trend than linear regression ; y = ax^2 + bx + c is better to use than a simple y = ax + b. Calculating the regression involves five summation equations that utilize the bar index (x1), the price source (defaulted to ohlc4), the desired lengths, and the square of x1. Determining the coefficient values requires an additional step that factors in the simple moving average of the source, bar index, and the squared bar index.
Instead of overlaying the three quadratic regression lines themselves, this underlaid indicator is used to show the normalized (-1 to +1) values of ax^2 and bx. The color of the lines and histogram match the associated lines on our overlaid indicator. Here, the solid fuchsia line is the fast QR's normalized ax^2 value, the solid yellow line is the mid QR's normalized ax^2 value, and the solid blue line is the slow QR's normalized ax^2 value. The histograms reflect the normalized bx values. In addition to these, the momentum of the ax^2 values was calculated and represented as a dotted line of the same colors.
Bar color is influenced by the values of ax^2 and bx of the fast and medium length regressions. If ax^2 and bx for both the fast and medium lengths are above 0, the bar color is green. If they are both under 0, the bar color is red. Otherwise, bars are colored gray.
When combined with our overlaid Triple Quadratic Regression indicator and the Triple Quadratic Regression Macro Score strategy (part of the LeafAlgo Premium Macro Strategies) to gather all of the information possible, your chart should look like this:
Triple Quadratic Regression (w/ Normalized Value Table)This indicator draws three step lines - a fast (fuchsia), a medium (yellow), and a slow (blue) quadratic regression line to help the user obtain a clearer picture of current trends. Quadratic regression is better suited to determining (and predicting) trend than linear regression; y = ax^2 + bx + c is better to use than a simple y = ax + b. Calculating the regression involves five summation equations that utilize the bar index (x1), the price source (defaulted to ohlc4), the desired lengths, and the square of x1. Determining the coefficient values requires an additional step that factors in the simple moving average of the source, bar index, and the squared bar index.
In addition to the plotted lines, a change in bar color and a table were added. The bar color is influenced by the values of ax^2 and bx of the fast and medium length regressions. If ax^2 and bx for both the fast and medium lengths are above 0, the bar color is green. If they are both under 0, the bar color is red. Otherwise, bars are colored gray. In the table, located at the bottom of the chart (but can be moved), the ax^2 and bx values for each regression length are shown. The option to view normalized (scale of -1 to +1) values or the standard values is included in the indicator settings menu. By default, the normalized values are shown.
Nadaraya-Watson: Envelope (Non-Repainting)Due to popular request, this is an envelope implementation of my non-repainting Nadaraya-Watson indicator using the Rational Quadratic Kernel. For more information on this implementation, please refer to the original indicator located here:
What is an Envelope?
In technical analysis, an "envelope" typically refers to a pair of upper and lower bounds that surrounds price action to help characterize extreme overbought and oversold conditions. Envelopes are often derived from a simple moving average (SMA) and are placed at a predefined distance above and below the SMA from which they were generated. However, envelopes do not necessarily need to be derived from a moving average; they can be derived from any estimator, including a kernel estimator such as Nadaraya-Watson.
How to use this indicator?
Overall, this indicator offers a high degree of flexibility, and the location of the envelope's bands can be adjusted by (1) tweaking the parameters for the Rational Quadratic Kernel and (2) adjusting the lookback window for the custom ATR calculation. In a trending market, it is often helpful to use the Nadaraya-Watson estimate line as a floating SR and/or reversal zone. In a ranging market, it is often more convenient to use the two Upper Bands and two Lower Bands as reversal zones.
How are the Upper and Lower bounds calculated?
In this indicator, the Rational Quadratic (RQ) Kernel estimates the price value at each bar in a user-defined lookback window. From this estimation, the upper and lower bounds of the envelope are calculated based on a custom ATR calculated from the kernel estimations for the high, low, and close series, respectively. These calculations are then scaled against a user-defined multiplier, which can be used to further customize the Upper and Lower bounds for a given chart.
How to use Kernel Estimations like this for other indicators?
Kernel Functions are highly underrated, and when calibrated correctly, they have the potential to provide more value than any mundane moving average. For those interested in using non-repainting Kernel Estimations for technical analysis, I have written a Kernel Functions library that makes it easy to access various well-known kernel functions quickly. The Rational Quadratic Kernel is used in this implementation, but one can conveniently swap out other kernels from the library by modifying only a single line of code. For more details and usage examples, please refer to the Kernel Functions library located here:
Logarithmic Trend ChannelThis indicator automatically draws a regression channel plotted on logarithmic scale from the first quotation.
This model is useful for the long term series data (such as 10 or 20 years time span).
The Pearson correlation measures the strength of the linear relationship between two variables. It has a value between to 1, with a value of 0 meaning no correlation, and + 1 meaning a total positive correlation.
Logarithmic price scales are a type of scale used on a chart, plotted such that two equivalent price changes are represented by the same vertical changes on the scale.
They differ from linear price scales because they display percentage points and not dollar price increases for a stock.
Technical issues
*The user have to pan over the chart from the beginning to the end of the study range (such as 10 years of bars) so the pine script could generate those lines on the chart.
*If on the chart the number of bar is less than the lookback period, it won't generate any lines as well.
NEXT Regressive VWAPOverview:
This version of the Volume-Weighted Average Price (VWAP) indicator features an extended algorithm, which, in addition to volume and price, also incorporates regression analysis. The result is a more responsive, often leading VWAP slope with a degree of statistical predictability built in. Just like with the original VWAP, NEXT Regressive VWAP offers two optional Standard Deviation bands that parallel it. These can be set to any deviation level, with the default being 1 and -1, indicating one standard deviation above and one below Regressive VWAP, respectively.
Below is a screenshot comparing NEXT Regressive VWAP (green) to the original VWAP (blue) on CME_MINI:ES1! M3 chart.
Application and Strategy Ideas:
Price above NEXT Regressive VWAP is interpreted to have a bullish bias, and below, bearish. You can use TradingView's native Set Alert functionality to be notified, in real-time, when price crosses Regressive VWAP, and/or any of its standard deviation bands. Another popular "probability play" strategy is to scalp price when it crosses under the upper band (short) and crosses over the lower band (long). The screenshot below visualizes such a strategy on NASDAQ:QQQ M1 chart:
Input Parameters:
There are 3 groups of input.
Regression Settings
Length - controls the length of time (in bars) for regression analysis with higher values yielding smoother, more responsive values.
Regression Weighting - controls the degree of regression analysis incorporated into VWAP, with 5 being average, 0-4 less, 6-10 more. The higher the value, the more responsive the Regressive VWAP curve.
VWAP Settings
Anchor Period - controls the origin of VWAP calculations, start of session being the default.
Source - data used for calculating the VWAP, typically HLC/3, but can be used with other price formats and data sources as well.
Offset - shifting of the VWAP line forward (+) or backward (-).
Standard Deviation Bands Settings
Calculate Bands - checking this will add 2 bands, each equidistant (by the amount of Multiplier) from the NEXT Regressive VWAP line.
Bands Multiplier - standard deviation multiplier, with 1 being the default
Signals and Alerts:
Here is how to set price (close) crossing NEXT Regressive VWAP alerts: open a chart, attach NEXT Regressive VWAP, and right-click on chart -> Add Alert. Condition: Symbol e.g. ES (close) >> Crossing >> Regressive VWAP >> VWAP >> Once Per Bar Close.
log-log Regression From ArraysCalculates a log-log regression from arrays. Due to line limits, for sets greater than the limit, only every nth value is plotted in order to cover the entire set.
Exponential Regression From ArraysCalculates an exponential regression from arrays. Due to line limits, for sets greater than the limit, only every nth value is plotted in order to cover the entire set.
Standard Error of the Estimate -Jon Andersen- V2Original implementation idea of bands by:
Traders issue: Stocks & Commodities V. 14:9 (375-379):
Standard Error Bands by Jon Andersen
Standard Error Bands are quite different than Bollinger's.
First, they are bands constructed around a linear regression curve.
Second, the bands are based on two standard errors above and below this regression line.
The error bands measure the standard error of the estimate around the linear regression line.
Therefore, as a price series follows the course of the regression line the bands will narrow , showing little error in the estimate. As the market gets noisy and random, the error will be greater resulting in wider bands .
Thanks to the work of @glaz & @XeL_arjona
In this version you can change the type of moving averages and the source of the bands.
Add a few studies of @dgtrd
1- ADX Colored Directional Movement Line
Directional Movement (DMI) (created by J. Welles Wilder ) consists of the Average Directional Index ( ADX ), to define whether or not there is a trend present, and Plus Directional Indicator (+D I) and Minus Directional Indicator (-D I) serve the purpose of determining trend direction
ADX Colored Directional Movement Line is custom interpretation of Directional Movement (DMI) with aim to present all 3 DMI indicator components with SINGLE line and ability to be added on top of the price chart (main chart)
How to interpret :
* triangle shapes:
▲- bullish : diplus >= diminus
▼- bearish : diplus < diminus
* colors:
green - bullish trend : adx >= strongTrend and di+ > di-
red - bearish trend : adx >= strongTrend and di+ < di-
gray - no trend : weekTrend < adx < strongTrend
yellow - week trend : adx < weekTrend
* color density:
darker : adx growing
lighter : adx falling
2- Volatility Colored Price/MA Line
Custom interpretation of the idea “Prices high above the moving average (MA) or low below it are likely to be remedied in the future by a reverse price movement”. Further details can be found under study “Price Distance to its MA by DGT”
How to interpret :
-▲ – Bullish , Price Action above Moving Average
-▼ – Bearish , Price Action below Moving Average
-Gray/Black - Low Volatility
-Green/Red – Price Action in Threshold Bands
-Dark Green/Red – Price Action Exceeds Threshold Bands
3- Volume Weighted Bar s
Volume Weighted Bars, a study of Kıvanç Özbilgiç, aims to present whether volume supports price movements. Volume Weighted Bars are calculated based on volume moving average.
How to interpret :
-Volume high above the volume moving average be displayed with red/green colors
-Average volume values will remain as they are and
-Volume low below the volume moving average will be indicated with darker colors
4- Fear & Greed index value, using technical anlysis approach calculated based on :
⮩1 - Price Momentum : Price Distance to its Moving Average
⮩2 - Strenght : Rate of Return, price movement over a period of time
⮩3 - Money Flow : Chaikin Money Flow, quantify changes in buying and selling pressure. CMF calculations is based on Accumulation/Distribution
⮩4 - Market Volatility : CBOE Volatility Index ( VIX ), the Volatility Index, or VIX , is a real-time market index that represents the market's expectation. It provides a measure of market risk and investors' sentiments
⮩5 -Safe Haven Demand: in this study GOLD demand is assumed
KINSKI Volume Regression TrendRegression trends are typically used to determine when a price is unusually far from its baseline. The script calculates the linear regression of volume and price to determine the trend direction and strength. This can be used to determine the volume support for upward/downward trends.
As a special feature, this indicator allows you to choose from three (as of 07/20/2021) templates with special presets.
The following templates are available:
"Precise" (Period: 4, Smoothing Factor Type: "DISABLED", Smoothing Factor Length = 1).
"Smooth" (Period: 4, Smoothing Factor Type: "RMA", Smoothing Factor Length = 2)
"Long Term (Period: 20, Smoothing Factor Type: "DISABLED", Smoothing Factor Length = 1)
In the selection for templates, the option "DISABLED" can also be selected. Then the user-defined settings selectable under it take effect. There are the following setting options.
"Length": Adjustable period
"Smoothing Factor: Type": Type of moving average
"Smoothing Factor: Length": Adjustable period
Other setting options are:
Color codes: The color codes are explained in the settings
Display types: "Columns", "Histogram", "Area", "Line", "Stepline"
Linear Regression (All Data)The tool plots a linear regression line using the entire history of an instrument on chart. There are may be issues on intraday timeframes less then 1h. On daily, weekly and monthly charts it works without problem.
If an instrument has a lot of data points, you may not see the line (this is TV feature):
To fix that you need to scroll your chart to the left and find the starting point of the line:
And then do an auto-scroll to the last bar:
Dynamic Regression Bandings (Base10)Dynamic Regression Bandings (Base10) is designed to provide a statistical range of outlier pricing within an established trend. Instead of calculations being performed on a linear scale, spot price is adjusted logarithmically, allowing for regression to be performed over longer periods without compound movement creating abnormal behaviour.
The range is set through user input of a minimum and maximum values; from which the script identifies the backward length (candle count) with the greatest correlation to price. This process is performed for each candle, so the regression length may change dynamically across time. By doing this, we are able to look at the current candle for its probability of being an outlier compared to the mean of the regression. If the spot price is outside the range of the expected deviation (e.g. +/- 2 standard deviations from the mean); a buy or sell signal is triggered.
IMPORTANT: This does not aim to validate the volatility of a trend, so the user must identify the historical fit. It is recommended to use the replay functionality to make these adjustments with historical data in order to avoid over fitting the model to the data; which will create long term issues with performance.
When a trend is found in the specified range; it is assumed that the white noise (movement +/- to the trend) happens in a normal & unbiased way. In a fair market; the buyers and sells should balance themselves out in such a way that there is no inherent bias outside of the trend. As such, we can assume that almost all movement within the trend will be within +/- 3 standard deviations. So if the selected deviation range is greater than that; it is likely that the model is being over fit to account for extreme volatility.
Below are examples of the indicator on different charts:
USDAUD
BTCUSD
AMZN
A2M
Linear Regression ++Due to public demand
Linear Regression Formula
Scraped Calculation With Alerts
Here is the Linear Regression Script For traders Who love rich features
Features
++ Multi time frame -> Source Regression from a different Chart
++ Customized Colors -> This includes the pine lines
++ Smoothing -> Allow Filtered Regression; Note: Using 1 Defaults to the original line. The default is 1
++ Alerts On Channel/Range Crossing
Usage
++ Use this for BreakOuts and Reversals
++ This Script is not to be used Independently
Risks
Please note, this script is the likes of Bollinger bands and poses a risk of falling in a trend range.
Signals may Keep running on the same direction while the market is reversing.
Requests
If you have any feature requests, comment below or dm me. I will answer when i can.
Feel free to utilize this on your chart and share your ideas
For developers who want to use this on their chart, Please use this script
The original formula for calculation is posted there
❤❤❤ I hope you love this. From my heart! ❤❤❤
Regression Channel [DW]This is an experimental study which calculates a linear regression channel over a specified period or interval using custom moving average types for its calculations.
Linear regression is a linear approach to modeling the relationship between a dependent variable and one or more independent variables.
In linear regression, the relationships are modeled using linear predictor functions whose unknown model parameters are estimated from the data.
The regression channel in this study is modeled using the least squares approach with four base average types to choose from:
-> Arnaud Legoux Moving Average (ALMA)
-> Exponential Moving Average (EMA)
-> Simple Moving Average (SMA)
-> Volume Weighted Moving Average (VWMA)
When using VWMA, if no volume is present, the calculation will automatically switch to tick volume, making it compatible with any cryptocurrency, stock, currency pair, or index you want to analyze.
There are two window types for calculation in this script as well:
-> Continuous, which generates a regression model over a fixed number of bars continuously.
-> Interval, which generates a regression model that only moves its starting point when a new interval starts. The number of bars for calculation cumulatively increases until the end of the interval.
The channel is generated by calculating standard deviation multiplied by the channel width coefficient, adding it to and subtracting it from the regression line, then dividing it into quartiles.
To observe the path of the regression, I've included a tracer line, which follows the current point of the regression line. This is also referred to as a Least Squares Moving Average (LSMA).
For added predictive capability, there is an option to extend the channel lines into the future.
A custom bar color scheme based on channel direction and price proximity to the current regression value is included.
I don't necessarily recommend using this tool as a standalone, but rather as a supplement to your analysis systems.
Regression analysis is far from an exact science. However, with the right combination of tools and strategies in place, it can greatly enhance your analysis and trading.
Dorsey InertiaThis indicator was originally developed by Donald Dorsey (Stocks & Commodities, V.13:9 (September, 1995): "Refining the Relative Volatility Index").
Inertia is based on Relative Volatility Index (RVI) smoothed using linear regression.
In physics, inertia is the tendency of an object to resist to acceleration. Dorsey chose this name because he believes that trend and inertia are related and that it takes more effort and energy to reverse the direction of a stock or market than to keep it in the same direction. He argues that the volatility is the simplest and most accurate measure of inertia.
When the indicator is below 50, it signals bearish market sentiment and when the indicator is above 50 it signals a bullish trend.
Good luck!
Shark K-Bands — SharkCIAInspired by everget's implementation of Kirshenbaum Bands.
This indicator was originally developed by Paul Kirshenbaum, a mathematician with a Ph .D. in economics from New York University.
It uses the standard error of linear regression lines of the closing price to determine band width. This has the effect of measuring volatility around the current trend, rather than measuring volatility for changes in trend.
Prior art:
Check out everget's scripts here: www.tradingview.com
Kirshenbaum BandsThis indicator was originally developed by Paul Kirshenbaum, a mathematician with a Ph.D. in economics from New York University.
It uses the standard error of linear regression lines of the closing price to determine band width. This has the effect of measuring volatility around the current trend, rather than measuring volatility for changes in trend.
Good luck!
Quadratic Regression Slope [DW]This is a study geared toward identifying price trends using Quadratic regression.
Quadratic regression is the process of finding the equation of a parabola that best fits the set of data being analyzed.
In this study, first a quadratic regression curve is calculated, then the slope of the curve is calculated and plotted.
Custom bar colors are included. The color scheme is based on whether the slope is positive or negative, and whether it is increasing or decreasing.
Quadratic RegressionA quadratic regression is the process of finding the equation that best fits a set of data.This form of regression is mainly used for smoothing data shaped like a parabola.
Because we can use short/midterm/longterm periods we can say that we use a Quadratic Least Squares Moving Average or a Moving Quadratic Regression.
Like the Linear Regression (LSMA) a Quadratic regression attempt to minimize the sum of squares (sum of the squared difference between a set of data and an estimator), this is why
those kinds of filters have low lag .
Here the difference between a Least Squared Moving Average ( green ) and a Quadratic Regression ( red ) of both period 500
Here it look like the Quadratic Regression have a best fit than the LSMA
Price Regression AgreggatorPrice Estimator with aggregated linear regresion
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How it works:
It uses 6 linear regression from time past to get an estimated point in future time, and using transparency, those areas that are move "visited" by those 6 different regressions and maybe more probable to be visited by the price (in fact if you zoom out you will see that price normally is around the lighter zones) have more aggregated painted colors, the transparency is lower and well, the lighter area should be more probable to be visited by the price should we put any faith on linear regression estimations and even more when many of them coincide in several points where the color is more aggregated.
If the "I" (the previous regressions increment) is too low, then we will have huge spikes as the only info gathered from the oldest linear regresssion will be within the very same trend we are now, resulting in "predictions" of huge spikes in the trend direction. (all regressions estimating on a line pointing to infinite)
If the "I" is high enough (not very or TV won't be able to display it) then you will get somewhat a "vectorial" resultant force of many linear regressions giving a more "real prediction" as it comes from tendencies from higher timeframes. E.g. 12 hours could be going down, 4h could be going sideways, 30m could be going up.
contact tradingview -> hecate . The idea and implementation is mine.
Note: transparency + 10 * tranparencygradient cannot be > 100 or nothing will be displayed
Note2: if the Future increment (how many lines are displayed to the right of the actual price ) are excessive, it will start to do weird things.
Note3: two times the standard deviation statistically correponds to a probability of 95%. We are calculating Top and Bot with that amount above and below. So anything inside those limits is more probable and if we are out of those limits it should fall back soon. Increase the number of times the std deviation as desired. There are calculators in the web to translate number of times std dev to their correspondent probability.
Note4: As we use backwards in time linear regressions for our "predictions" we lose responsiveness. Those old linear regressions are weighted with less value than more recent ones.
Note5: In the code i have included many color combinations (some horrible :-) )
Note6: This was an experiment while i was quite bored although ended enjoying playing with it.
Have fun! :-)
I leave it here because i am getting dizzy.
ORDINARY LEAST SQUARES Slope by @XeL_ArjonaORDINARY LEAST SQUARES Slope by @XeL_Arjona
Ver. 1 by Ricardo M Arjona @XeL_Arjona
DISCLAIMER:
The Following indicator/code IS NOT intended to be a formal investment advice or recommendation by the author, nor should be construed as such. Users will be fully responsible by their use regarding their own trading vehicles/assets.
The embedded code and ideas within this work are FREELY AND PUBLICLY available on the Web for NON LUCRATIVE ACTIVITIES and must remain as is.
WHAT'S THIS?
This is a REAL mathematically approach of an ORDINARY LEAST SQUARES LINE FITTING SLOPE as TradingView currently don't have a native one embedded, neither as a pine function. Other "Sope" indicators from this linear regression model I found on public library are currently based on "momentum" rather tan slope.
Any modifications or additions are quite welcome!
Cheers!
@XeL_Arjona
BUY & SELL PRESSURE by RegressionBUY & SELL PRESSURE by Regression Analysis at candle price/volume (Rate-Of-Change)
Ver. 3 By Ricardo M Arjona @XeL_Arjona
DISCLAIMER:
The Following indicator/code IS NOT intended to be a formal investment advice or recommendation by the author, nor should be construed as such. Users will be fully responsible by their use regarding their own trading vehicles/assets.
The embedded code and ideas within this work are FREELY AND PUBLICLY available on the Web for NON LUCRATIVE ACTIVITIES and must remain as is.
WHAT'S THIS?
This is my 3rd. revision of the original implementation for AmiBroker by Karthik Marar's of it's BUY AND SELL PRESSURE INDICATORS but this time, constructed under a complete REGRESSIVE ANALYSIS premise based in Rate Of Change (A kind of Slope but measured in % Performance).
Some minimal adaptation's (and cleaning) have been made:
Instead of simple Range calculation at price, Rate Of Change (Regressive) is used.
Oscillator of Pressure can be deactivated in favor of a simple RoC Cumulative Pressures at candle.
Oscillator can read Volume data from external tickers for accurate Index calculation. ( NYA can use TVOL as example.)
Code is small, cleaner and faster =) !
Cheers!
Any feedback will be welcome...
@XeL_Arjona
