LinearFit1D

class LinearFit1D(rawData)

Bases: FitData1D

Linear function fit for one-dimensional data.

Fits a linear function of the form \(y = a\,x + b\) to experimental data. Uses MATLAB’s built-in poly1 fit type for efficient linear regression.

• Formula: \(y = a\,x + b\)

• Coefficients: \(a\) (slope), \(b\) (intercept)

Example1:

% Fit linear function to experimental data
x = linspace(0, 10, 50);
y = 2*x + 1 + 0.1*randn(size(x));
data = [x', y'];
linearFit = LinearFit1D(data);
linearFit.do();
linearFit.plot();

Example2:

% Access fit parameters
linearFit = LinearFit1D(data);
linearFit.do();
slope = linearFit.Coefficient(1);
intercept = linearFit.Coefficient(2);

Constructor Summary

LinearFit1D(rawData)

Constructor for LinearFit1D class.

Parameters:

rawData (double array) – Input data as n x 2 matrix [x, y]

Method Summary

guessCoefficient()

Linear fit uses MATLAB’s automatic parameter estimation.

For linear fits, MATLAB automatically estimates the slope and intercept parameters, so no manual guessing is required.

setFormula()

Set the linear fit formula.