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regression

(Not recommended) Perform linear regression of shallow network outputs on targets

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regression is not recommended. Use fitlm (Statistics and Machine Learning Toolbox) instead. For more information, see Version History.

Syntax

[r,m,b] = regression(t,y)
[r,m,b] = regression(t,y,'one')

Description

[r,m,b] = regression(t,y) calculates the linear regression between each element of the network response and the corresponding target.

This function takes cell array or matrix target t and output y, each with total matrix rows of N, and returns the regression values, r, the slopes of regression fit, m, and the y-intercepts, b, for each of the N matrix rows.

example

[r,m,b] = regression(t,y,'one') combines all matrix rows before regressing, and returns single scalar regression, slope, and offset values.

Examples

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Open Live Script

This example shows how to train a feedforward network and calculate and plot the regression between its targets and outputs.

Load the training data.

[x,t] = simplefit_dataset;

The 1-by-94 matrix x contains the input values and the 1-by-94 matrix t contains the associated target output values.

Construct a feedforward neural network with one hidden layer of size 20.

net = feedforwardnet(20);

Train the network net using the training data.

net = train(net,x,t);

Figure Neural Network Training (05-Sep-2024 19:13:45) contains an object of type uigridlayout.

Estimate the targets using the trained network.

y = net(x);

Calculate and plot the regression between its targets and outputs.

[r,m,b] = regression(t,y)
r = 
1.0000

m = 
1.0000

b = 
1.0878e-04

plotregression(t,y)

Figure Regression (plotregression) contains an axes object. The axes object with title : R=1, xlabel Target, ylabel Output ~= 1*Target + 0.00011 contains 3 objects of type line. One or more of the lines displays its values using only markers These objects represent Y = T, Fit, Data.

Input Arguments

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Network targets, specified as a matrix or cell array.

Network outputs, specified as a matrix or cell array.

Output Arguments

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Regression value, returned as a scalar.

Slope of regression fit, returned as a scalar.

Offset of regression fit, returned as a scalar.

Version History

Introduced in R2010b

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R2020b: regression is not recommended

regression is not recommended. To fit a linear regression model, use fitlm (Statistics and Machine Learning Toolbox) instead.

See Also

| | (Statistics and Machine Learning Toolbox)