File:Linear regression.svg

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

Captions

Captions

A straight line with y-intercept 5 fitted to datapoints

Summary[edit]

 
This diagram was created with SageMath.
Description
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

Licensing[edit]

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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Date/TimeThumbnailDimensionsUserComment
current10:42, 31 March 2016Thumbnail for version as of 10:42, 31 March 2016438 × 289 (71 KB)RaphaelQS (talk | contribs)transparent background
03:18, 5 November 2010Thumbnail for version as of 03:18, 5 November 2010438 × 289 (42 KB)Sewaqu (talk | contribs){{Information |Description={{en|1=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

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