Fit a power model to the set of data

I need to fit a power model in the following data below and get its coeffiecient of regression/ (r^2) and predict the lane width at distance 2m:

Distance,m= [2.4 1.5 2.4 1.8 1.8 2.9 1.2 3 1.2]

Lane width,m= [2.9 2.1 2.3 2.1 1.8 2.7 1.5 2.9 1.5]

The model should be in the form of y=constant*x^constant

Answer 1

[Abdolkarim Mohammadi]

Type cftool in the command window to open Curve Fitting toolbox. Then you can import your data and fit the power function.

Answer 2

[Image Analyst]

Why do you think this follows a power law?

Distance = [2.4 1.5 2.4 1.8 1.8 2.9 1.2 3 1.2]
LaneWidth = [2.9 2.1 2.3 2.1 1.8 2.7 1.5 2.9 1.5]
plot(Distance, LaneWidth, 'b.-', 'MarkerSize', 20);
grid on;
xlabel('Distance', 'FontSize', 18);
ylabel('LaneWidth', 'FontSize', 18);

For what it's worth, I'm attaching a demo to do a non-linear fit to a power law. You can adapt it as needed.