Sensor Calibration Least Squares

Hard Python Calibration Asked at Bosch

Solve this problem

Fit a two-point linear calibration to raw sensor readings using least squares, and report the residual so a bad sensor can be rejected.

Constraints

Inputs are raw readings and reference values of equal length.
Return slope, offset and the RMS residual.
Fewer than 2 points must raise ValueError.
A degenerate fit where all raw values are equal must raise ValueError.
Implement the normal equations directly; no numpy.polyfit.

Starter codePython

1def calibrate(raw, reference):2    # TODO3    return {}