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File:Linear regression.svg

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

Summary

 
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

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.

Captions

A straight line with y-intercept 5 fitted to datapoints

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depicts

5 November 2010

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File history

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Date/TimeThumbnailDimensionsUserComment
current10:42, 31 March 2016Thumbnail for version as of 10:42, 31 March 2016438 × 289 (71 KB)RaphaelQStransparent background
03:18, 5 November 2010Thumbnail for version as of 03:18, 5 November 2010438 × 289 (42 KB)Sewaqu{{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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