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Encyclopedia > Image:LinearRegression.svg
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LinearRegression.svg (file size: 20 KB, MIME type: image/svg+xml)

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Description

Illustration of linear regression on a data set. Image File history File links Commons-logo. ...

Source

self-made in Gnuplot.

Date

24 June 2007

Author

Berland

Permission

See below.

Gnuplot source code

 set terminal svg fname "Helvetica" fsize 25 set output "LinearRegression.svg" set key left set xtics axis 1,1 set ytics nomirror 1 set border 2 f(x) = a*x + b fit f(x) 'randpts' using 1:2 via a,b set yrange [-0.9:4] plot 'randpts' with points pointtype 7 pointsize 0.3 title 'Datapoints',  f(x) with lines linetype 3 linewidth 3 title 'Regression',  0 with lines linetype -1 notitle 

The datafile 'randpts' was made in Octave using the commands

 f = fopen('randpts', 'w') for i=1:200; x=rand(1); y=0.7*rand(1) + 3*x; fprintf(f, '%g %gn', x, y); end fclose(f) 

(identical code also works in Matlab.)

License

Public domain I, Berland, the copyright holder of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
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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File history

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Click on date to download the file or see the image uploaded on that date.

  • (del) (cur) 20:57, 25 June 2007 . . Berland . . 600×480 (20,506 bytes) ({{Information |Description=Illustration of linear regression on a data set. |Source=self-made in Gnuplot. |Date=24 June 2007 |Author= Berland }} ==Gnuplot source code== set terminal svg fname "Helvetic)
  • (del) (rev) 18:56, 24 June 2007 . . Berland . . 600×480 (19,801 bytes) ({{Information |Description=Illustration of linear regression on a data set. |Source=self-made in Gnuplot. |Date=24 June 2007 |Author= Berland }} ==Gnuplot source code== set terminal svg fname "Helvetic)

The following pages on the English Wikipedia link to this file (pages on other projects are not listed):
Generally, regression is related to moving backwards, and the opposite of progression. ... The correct title of this article is . ... Generally, regression is related to moving backwards, and the opposite of progression. ... The correct title of this article is . ...

In statistics, linear regression is a regression method that models the relationship between a dependent variable Y, independent variables Xp, and a random term ε. The model can be written as where β1 is the intercept (constant term), the βis are the respective parameters of independent variables, and p is the... In statistics, regression analysis examines the relation of a dependent variable (response variable) to specified independent variables (explanatory variables). ...

 

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