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. |
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| Date | |||
| Source | Own work based on: Linear least squares example2.svg by Krishnavedala | ||
| Author | Cdang | ||
| SVG development | Category:Invalid SVG created with Scilab:Trigonometry#0077Regression%20lineaire%20ordonnees.svgCategory:SVG created also with Inkscape
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Source code

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.
Here is a listing of the source used to create this file.
// 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:
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
Attribution:
- You are free:
- to share – to copy, distribute and transmit the work
- 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.
| 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. |
You may select the license of your choice.
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