how to model fit data given in matlab

In MATLAB, data modeling can be done using curve fitting tool. The process of curve fitting involves obtaining a function that closely approximates the given data. Follow the below steps for modeling fit data in MATLAB.

1. Load the data which needs to be modeled.
2. Open curve fitting tool in MATLAB by typing ‘cftool’ in the command window.
3. Import the data in curve fitting tool.
4. Select the type of equation you want to use for fitting the data. You can choose from various options like polynomial, exponential, logarithmic, power, etc.
5. Set the order of the function according to your data.
6. Adjust the function parameters to get the best fit function.
7. Evaluate the model and analyze the accuracy.

Here's an example code snippet for modeling fit data in MATLAB using polynomial equation.

main.m
% sample data
x = 1:10;
y = [5.8956, 7.2234, 8.6121, 8.5151, 9.9629, 11.7889, 13.2358, 15.2322, 17.1692, 18.6188];

% open curve fitting tool
cftool

% import data in curve fitting tool
fitresult = fit(x', y', 'poly3');

% plot original data and fitted model
plot(fitresult, x, y);
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