File:Linear regression.svg

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Original file (SVG file, nominally 438 × 289 pixels, file size: 71 KB)

Summary

Description
Français : Un nuage de points (en bleu) peut être modélisé par une droite de régression (en rouge).
English: Random data points and their linear regression. Created with the following Sage (http://sagemath.org) commands:
X = RealDistribution('uniform', [-20, 60])

Y = RealDistribution('gaussian', 1.5)

f(x) = 3*x/20 + 5

xvals = [X.get_random_element() for _ in range(100)]

data = [(x, f(x) + Y.get_random_element()) for x in xvals]

m, b = var('m b')

g(x) = m*x + b

g(x) = g(x).subs(find_fit(data, g, solution_dict=True))

p = list_plot(data) + plot(g, (x, -20, 60), color='red')

p.save('linear_regression.svg')
Date
Source Own work
Author Sewaqu
Other versions Derivative works of this file:  Sedm zakladnich nastroju zlepsovani kvality cz.svg
SVG development
InfoField
 This image was created with Sage.
 and with Inkscape.

Licensing

Public domain This work has been released into the public domain by its author, Sewaqu. This applies worldwide.
In some countries this may not be legally possible; if so:
Sewaqu grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Captions

A straight line with y-intercept 5 fitted to datapoints. A scatter plot (blue) can be rendered as a linear regression (red).

Items portrayed in this file

depicts

5 November 2010

image/svg+xml

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current10:42, 31 March 2016Thumbnail for version as of 10:42, 31 March 2016438 × 289 (71 KB)wikimediacommons>RaphaelQStransparent background

Metadata