How to add a reference line power law of 1?

Hi MATLAB community.

I can't seem to figure out how to add a reference line of power law 1 or 2 or 3/4 or 1/2 to my data figure.

Something like this:

Many thanks!!

Answer 1

[Star Strider]

The power equation is , so choose independent variable x, slope m, and intercept b and go from there —

pwr_y = @(x,m,b) x.^m .* exp(b);

x1 = 0.1 : 0.1 : 1.5;
m = 1;
b = 10;
y1 = pwr_y(x1,m,b);

x2 = x1/10;
m = 0.5;
b = 1;
y2 = pwr_y(x2,m,b);

x3 = x1*100;
m = 2;
b = 5;
y3 = pwr_y(x2,m,b);

figure
loglog(x1, y1,  x2, y2,  x3, y3)
grid
axis('equal')

% axis([1E-2  1.1  10  1000])

Only 2 x coordinates are necessary, however I chose a vector to demonstrate that the function draws straight lines on a loglog plot.

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[Yunan Ye]

Thank you so much!

[Star Strider]

My pleasure!

If my Answer helped you solve your problem, please Accept it!

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