Plane Fit Residual

Problem

Fit the plane z = a*x + b*y + c by least squares and report the RMS residual.

Solve the 3x3 normal equations, compute the RMS of z - (a*x + b*y + c) over the points and round to 4 decimal places.

case 1

in: [[[0,0,1],[1,0,3],[0,1,4],[1,1,6]]]

expected: 0

case 2

in: [[[0,0,0],[1,0,2.1],[0,1,3.2],[1,1,5]]]

expected: 0.075

case 3

in: [[[0,0,2],[1,0,2],[2,0,2],[0,1,2],[1,1,2],[2,1,2]]]

expected: 0

Starter codePython

def plane_fit_residual(points):
    # Your code here
    pass

3 test cases · run your code against them in the editor