File:Regression lineaire abscisses.svg

Summary

Description
English: Illustration of least squares fitting. The data (red dots) are at co-ordinates (1,6), (2,5), (3,7) and (4,10). A linear approximation is obtained using least-squares estimation for the horizontal offset (blue line). Created using Scilab, modified with Inkscape.
Français : Illustration de la régression linéaire par la méthode des moindres carrés. Les données (points rouges) ont pour coordonnées (1 ; 6), (2 ; 5), (3 ; 7) et (4 ; 10). On effectue une régression linéaire en considérant les écarts en abscisse (ligne bleue). Réalisé avec Scilab, modifié avec Inkscape.
Date (UTC)
Source This file was derived from: Linear least squares example2.svg: 
Category:Derivative versions
Author
This is a retouched picture, which means that it has been digitally altered from its original version. Modifications: redrawn from the same data set, with a different algorithm and language. The original can be viewed here: Linear least squares example2.svg: . Modifications made by Cdang.

Category:SVG retouched pictures#Regression%20lineaire%20abscisses.svg Category:Files by User:cdang Category:Unspec SVG created with Inkscape#00100310Regression%20lineaire%20abscisses.svg

Scilab source

Category:Images with Scilab code
// Données

X = 1:4;
Y = [6, 5, 7, 10];

// régression
[a, b, sigma] = reglin(Y, X);

// points projetés sur la droite

X1 = a*Y + b;

// droite de régression
y1 = 4; x1 = a*y1 + b;
y2 = 10.25; x2 = a*y2 + b;

// tracé
clf;
couleurs = [get(sdf(), 'color_map') ; 0.75, 0.75, 0.75];
xset('colormap', couleurs);

xsegs([X ; X1], [Y ; Y], 14) // segments
h1 = gce();
h1.thickness = 2;

xpoly([x1, x2], [y1, y2]) // droite de régression
h2 = gce();
h2.thickness = 2;
h2.foreground = 2;

plot(X, Y, 'ok') // points
h3 = gce();
h3.children.mark_background = 5;

axe = gca();
axe.data_bounds = [0, 4 ; 5, 10.25];
axe.grid = [33, 33];
axe.tight_limits = 'on';
axe.isoview = 'on';
xtitle(' ', 'x', 'y')

Licensing

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GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
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Original upload log

This image is a derivative work of the following images:

  • File:Linear_least_squares_example2.svg licensed with Cc-by-sa-3.0, GFDL
    • 2011-06-10T03:35:22Z Krishnavedala 279x274 (51647 Bytes) {{Information |Description ={{en|1=Illustration of [[:w:Linear_least_squares_(mathematicsleast squares fitting]]. The data (red dots) are at co-ordinates (1,6), (2,5), (3,7) and (4,10). A linear approximation is obtained u

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Category:Linear regression
Category:CC-BY-SA-3.0 Category:Derivative versions Category:Files by User:cdang Category:GFDL Category:Images with Scilab code Category:License migration redundant Category:Linear regression Category:SVG retouched pictures Category:Self-published work Category:Unspec New SVG created with Inkscape Category:Unspec SVG created with Inkscape Category:Uploaded with derivativeFX