Linear Regression Angle (LINEARREG_ANGLE)

Summary

The angle, in degrees, of the least-squares best-fit line over the last N points. It is the LINEARREG_SLOPE value passed through atan and converted to degrees. Positive angle = rising fit line, negative = falling; magnitude reflects steepness.

Chart

Reference data (CSV) · Chart (SVG)

Chart metadata i

Outputs

outReal: line · zero · positive · negative

Formula

m = (N·SumXY − SumX·SumY) / (SumX² − N·SumXSqr), with SumX=N(N−1)/2, SumXSqr=N(N−1)(2N−1)/6; angle = atan(m)·(180/π)

Inputs

inReal — Input series to regress

Outputs

outReal — Regression line slope expressed as an angle in degrees

Parameters

Parameter	Type	Default	Accepted values	Description
`optInTimePeriod`	integer	14	2–100000	Number of points in the regression window

Properties

Numerical Stability: Start-Independent


☐ Overlap Input
✅ Independent Y-Axis i
☐ Candlestick
☐ Display Shift


☐ Can Output NaN or ±Inf
☐ Identity at Period 1
✅ Uses Transcendental i
☐ Input Must Be Positive

Example

#include <stdio.h>
#include <ta_libc.h>

int n = 252;
double series[252]; /* your data, oldest first */
double out[252];
int outBegIdx, outNBElement;

TA_Initialize();
TA_LINEARREG_ANGLE( 0, n - 1, series, 14, &outBegIdx, &outNBElement, out );
printf( "%d values from bar %d; last out = %f\n", outNBElement, outBegIdx, out[outNBElement - 1] );

Rust

use ta_lib::Core;

let series = vec![0.0; 252]; // your data, oldest first
let mut out = vec![0.0; 252];

let core = Core::new();
let range = core.linearreg_angle(0, series.len() - 1, &series, 14, &mut out)?;
println!("{} values from bar {}; last out = {}", range.count, range.beg_idx, out[range.count - 1]);

Java

import io.github.talib.Core;
import io.github.talib.OutRange;

double[] series = new double[252]; // your data, oldest first
double[] out = new double[252];

Core core = Core.DEFAULT;
OutRange r = core.linearregAngle(0, series.length - 1, series, 14, out);
System.out.println(r.count() + " values from bar " + r.begIdx() + "; last out = " + out[r.count() - 1]);

using System;
using TALib;

var series = new double[252]; // your data, oldest first
var outReal = new double[252];

var core = Core.Default;
OutRange r = core.LinearregAngle(0, series.Length - 1, series, 14, outReal);
Console.WriteLine($"{r.Count} values from bar {r.BegIdx}; last outReal = {outReal[r.Count - 1]}");

TypeScript

import { linearregAngle } from 'ta-lib';

const series = new Float64Array(252); // your data, oldest first

const { begIdx, values } = linearregAngle(series, { timePeriod: 14 });
console.log(values.length + ' values from bar ' + begIdx + '; last values = ' + values[values.length - 1]);

Implementation

Added in 0.4.0.

TA-Lib Definition: linearreg_angle.c · linearreg_angle.yaml

Native	File
C	`ta_LINEARREG_ANGLE.c`
Rust	`linearreg_angle.rs`
Java	`Core_LINEARREG_ANGLE.java`
C#	`Core_LINEARREG_ANGLE.cs`
TypeScript	`linearregAngle.ts`

Python: talib.LINEARREG_ANGLE, see ta-lib-python.

TA-Lib is also available for R and more using a wrapper.

Aliases

Linear Regression Angle, Least Squares Angle