How to force a curve through measured points

Hi. I want to fit a curve which is defined by an equation to my measured data and get the values from the fitted curve. Is there a way to force the curve to fit the measured data. Any help is appreciated. Thank you.

[KSSV]

REad about polyfit.

[Kabit Kishore]

Hi KSSV. Thank you. I already have an equation. I want to fit that to my measured data.

[KSSV]

Have a look on curve fitting tool.

[Kabit Kishore]

Thank you

Answer 1

[Walter Roberson]

In order to force a curve to exactly go through measured data, then in general the total degrees of freedom of the equation must be equal the number of points, minus 1, or higher. For example if you have 52 points then the equation must generally have 51 or more degrees of freedom.

Sometimes you get lucky and a point is exactly where it would be predicted to be to within a tolerance you are willing to live with.

Most often when you are fitting an equation to points you have more points than matches the degree of freedom, and you are looking for a best fit instead of a perfect fit. In nearly every such case, the locations predicted by the model will not go through every point.

[Kabit Kishore]

Thank you Walter.