Fit plane through points

Engineering Fundamentals


Method to derive a best fit a plane through number (≥ 3) XYZ data points, where the summed square errors of the data points in relation to the fit-plane in Z-direction is minimal.

Equation of a plane

$z\left(x,y\right)=A\cdot \ x+B\cdot \ y+C$

Data points


Coefficients of plane equation


Tip / Tilt angles



Fit quality – Coefficient of determination = R2


A value of $R^2$ which is close to 1 indicates a good fit quality.

Fit plane through points

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