how to calculate bic in matlab

To calculate BIC (Bayesian Information Criterion) for a fitted model in MATLAB, you can use the bic function in the Statistics and Machine Learning Toolbox.

Here is an example code snippet:

main.m
% Load a sample dataset
load carbig
X = [Horsepower Weight];
Y = MPG;

% Fit a linear regression model
mdl = fitlm(X,Y)

% Calculate BIC
BIC = bic(mdl)
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In this example, we have loaded the carbig dataset, extracted the predictor variables (Horsepower and Weight) and response variable (MPG), and fit a linear regression model using the fitlm function. We then calculate the BIC for this model using the bic function.

Note that the bic function calculates BIC based on the log likelihood of the model and the number of parameters in the model. Lower values of BIC indicate a better model fit, taking into account the number of parameters.