how to fit a model to data in matlab when the data is a parabola in matlab

To fit a model to data in MATLAB, we can use the fit function provided by the Curve Fitting Toolbox. Here's an example of how we can use fit to fit a parabolic model to data:

main.m
% Generate some example data
x = linspace(-1, 1, 101);
y = 2*x.^2 - 1 + 0.1*randn(size(x));

% Define the model to fit (a parabolic curve)
model = fittype('a*x^2 + b', 'independent', 'x');

% Fit the model to the data
fitresult = fit(x', y', model);

% Plot the results
plot(x, y, 'r.');
hold on;
plot(fitresult);
hold off;
324 chars
16 lines

In this example, we first generate some example data that follows a parabolic curve with some added noise. We then define the parabolic model to fit using the fittype function. Finally, we use the fit function to fit the model to the data and obtain the resulting fit.

We can visualize the fit by plotting the original data in red dots alongside the fitted parabolic curve.

Note that we used the transpose operator on x and y when calling fit, as required by the function.