curve.fit

Quadratic

A parabola. Use it for height against time in free fall or projectile motion, and for calibration curves with slight, steady curvature.

Fit the example dataStart with your own data

Example: NIST’s Pontius load cell calibration data, 40 points, opened as a new copy you can edit.

Parameters

Coefficient of x²: half the curve’s second derivative.
Coefficient of x: the slope at x = 0.
Value of y at x = 0.

Tips

  • For height against time in free fall, a = −g/2, b is the initial vertical velocity and c the initial height.
  • Use the lowest degree that leaves no pattern in the residuals.
  • With no uncertainties selected, the goodness of fit is R², because the model is linear in its parameters.

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