Wolfram Function Repository

Instant-use add-on functions for the Wolfram Language

Function Repository Resource:

 LeastSquaresPlot

Source Notebook

Plot data together with a visualization of the squared errors compared to a fit

Contributed by: Jon McLoone

ResourceFunction["LeastSquaresPlot"][data]

plots data together with the linear best fit and the squared errors.

ResourceFunction["LeastSquaresPlot"][data,n]

uses the order-n best fit.

ResourceFunction["LeastSquaresPlot"][data,expr,var]

also plots the curve given by expr and the variable var.

Details and Options

ResourceFunction["LeastSquaresPlot"] has the same options as ListPlot, with the following addition:
"SquareStyle"{Opacity[0.2]}graphics directives to specify the style of the error squares

Examples

Basic Examples (3) 

Show the squared errors of a linear fit to some data. A tooltip on each square gives its area:

In[1]:=
ResourceFunction["LeastSquaresPlot"][{1, 1, 2, 2, 3, 5}]
Out[1]=

Show the squared errors of a quadratic fit to some data. A tooltip on each square gives its area:

In[2]:=
ResourceFunction["LeastSquaresPlot"][{1, 1, 2, 2, 3, 5}, 2]
Out[2]=

Compare the errors to the parabola y=x2/10:

In[3]:=
ResourceFunction["LeastSquaresPlot"][{1, 1, 2, 2, 3, 5}, x^2/10, x]
Out[3]=

Options (1) 

SquareStyle (1) 

Change the style of the error squares:

In[4]:=
ResourceFunction["LeastSquaresPlot"][{1, 1, 2, 2, 3, 5}, "SquareStyle" -> Green]
Out[4]=

Publisher

Jon McLoone

Version History

  • 1.0.1 – 13 February 2023
  • 1.0.0 – 27 March 2020

Related Resources

License Information