How to calculate the deviation of points from a curve?

AI Thread Summary
To calculate the deviation of points from a curve, one effective method is to determine the average distance of the points from the curve, with the root mean square distance being a preferred approach. This method essentially provides the standard deviation of the points in relation to the curve. For a more statistical analysis, conducting a chi-square test can help assess the goodness of fit between the points and the curve. This is particularly useful when dealing with different types of curves, such as quadratic and polar equations. Accurate calculations will enhance the comparison between the various curves modeled.
MelanieBrett
Messages
7
Reaction score
0
Hi,
I'm working on some coursework for which I have been modelling a curve to a set of points, and for the final section I am wanting to calculate how close each point is to the curve as a method of comparison between the curves I have calculated. Some of the curves are quadratic, and others are the Cartesian form of some Polar equations. If anyone could offer any help or advice, it would be much appreciated :)
 
Mathematics news on Phys.org
You could try calculating the average distance of each set of points from the curve - perhaps better to look at the root mean square distance. Essentialy the standard deviation of the points from the curve.
 
Thread 'Video on imaginary numbers and some queries'
Hi, I was watching the following video. I found some points confusing. Could you please help me to understand the gaps? Thanks, in advance! Question 1: Around 4:22, the video says the following. So for those mathematicians, negative numbers didn't exist. You could subtract, that is find the difference between two positive quantities, but you couldn't have a negative answer or negative coefficients. Mathematicians were so averse to negative numbers that there was no single quadratic...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Back
Top