File:Regression lineaire ordonnees.svg

Summary

Category:Files by User:cdang
Description
English: Illustration of least squares fitting. The data (red dots) are at coordinates (1,6), (2,5), (3,7) and (4,10). A linear approximation is obtained using least-squares estimation on vertical offsets (blue line).

Regression line: y = 1.4×x + 3.5.

Created using Scilab, modfied 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 ordonnée (ligne bleue).

Droite de régression : y = 1.4×x + 3.5.

Réalisé avec Scilab, modifié avec Inkscape.
Date
Source Own work based on: Linear least squares example2.svg by Krishnavedala
Author Cdang
SVG development
InfoField
 The source code of this SVG is invalid due to 13 errors.
 This W3C-invalid vector image was created with Scilab by cdang.
Category:Invalid SVG created with Scilab:Trigonometry#0077Regression%20lineaire%20ordonnees.svg
 and with Inkscape.
Category:SVG created also with Inkscape
 Category:Translation possible - SVGThis trigonometry uses embedded text that can be easily translated using a text editor.
This trigonometry is a retouched picture, which means that it has been digitally altered from its original version. Modifications: Redrawn with Scilab/Inkscape, French caption. The original can be viewed here: Linear least squares example2.svg: . Modifications made by Cdang.

Category:SVG retouched pictures#Regression%20lineaire%20ordonnees.svg

Source code

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The logo of Scilab – free and open source software for numerical computation
This media was created with Scilab (free and open source software for numerical computation)Category:Images with Scilab source code
Here is a listing of the source used to create this file.

Deutsch  English  +/−

// Données

X = [1, 2, 3, 4];
Y = [6, 5, 7, 10];

// régression verticale
[aa, bb, sigma] = reglin(X, Y);

// points projetés sur la droite

Yv = aa*X + bb;

// droite de régression verticale
xx1 = (y1 - bb)/aa;
xx2 = (y2 - bb)/aa;

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

xsegs([X ; X], [Y ; Yv], 14) // segments verticaux
h2 = gce();
h2.thickness = 2;

xpoly([xx1, xx2], [y1, y2]) // droite de régression verticale
h3 = gce();
h3.thickness = 2;
h3.foreground = 2;

plot(X, Y, 'ok') // points
h5 = gce();
h5.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

Cdang, the copyright holder of this work, hereby publishes it under the following licenses:
w:en:Creative Commons
attribution share alike
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Attribution:
You are free:
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  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
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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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Category:Self-published work

Original upload log

This image is a derivative work of the following images:

  • 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:Files by User:cdang Category:GFDL Category:Images with Scilab source code Category:Invalid SVG created with Scilab:Trigonometry Category:License migration redundant Category:Linear regression Category:SVG created also with Inkscape Category:SVG retouched pictures Category:Self-published work Category:Translation possible - SVG Category:Uploaded with derivativeFX