how to calculate the power regression of two vectors in matlab

To calculate the power regression of two vectors in Matlab, you can use the fit function with the 'power1' option. Here's an example code snippet:

main.m
x = [1 2 3 4 5];
y = [2.2 3.7 6.1 8.7 13.3];

[p, S] = fit(x', y', 'power1');

disp('Power function coefficients:');
disp(['a = ' num2str(p.a)]);
disp(['b = ' num2str(p.b)]);
disp('Coefficient of determination:');
disp(['R^2 = ' num2str(1 - S.normr^2/S.normy^2)]);
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In this example, x and y are the two vectors that we want to fit a power function to. The fit function returns two outputs: p contains the coefficients of the power function (a and b), and S contains statistics about the fitness of the function. We then use disp to print out the coefficients and the coefficient of determination (R^2), which measures how well the function fits the data.