Physics Experiment Linear Regression Issue

tsumi
Messages
15
Reaction score
0

Homework Statement



Hello, I have done a laboratorial experiment (electron diffraction) and I've been doing the analysis of the obtained data.

I have plotted the data obtained experimentally, and the slope of the obtained linear regression should give a certain value.

What's happening is that the slope of the linear regression gives a value inferior to any of the individually calculated values, is this normal? and this value is quite different from the theoretically expected one, while all the individual values are much closer to the expected one. This is my only question.

Thank you for your attention

Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
It is possible that the linear regression line does not accurately depict the data points, since it is designed to fit the data in a way that minimizes the sum of the squares of the vertical distances between the points and the regression line. It could be that the points are not well-suited for a linear regression, or that there is an underlying trend that is not being properly captured by the linear regression. Additionally, it is possible that the linear regression is giving an accurate representation of the data, but that the individual values are not. You may want to consider other forms of analysis, such as non-linear regression or a logarithmic fit.
 
Thread 'Need help understanding this figure on energy levels'
This figure is from "Introduction to Quantum Mechanics" by Griffiths (3rd edition). It is available to download. It is from page 142. I am hoping the usual people on this site will give me a hand understanding what is going on in the figure. After the equation (4.50) it says "It is customary to introduce the principal quantum number, ##n##, which simply orders the allowed energies, starting with 1 for the ground state. (see the figure)" I still don't understand the figure :( Here is...
Thread 'Understanding how to "tack on" the time wiggle factor'
The last problem I posted on QM made it into advanced homework help, that is why I am putting it here. I am sorry for any hassle imposed on the moderators by myself. Part (a) is quite easy. We get $$\sigma_1 = 2\lambda, \mathbf{v}_1 = \begin{pmatrix} 0 \\ 0 \\ 1 \end{pmatrix} \sigma_2 = \lambda, \mathbf{v}_2 = \begin{pmatrix} 1/\sqrt{2} \\ 1/\sqrt{2} \\ 0 \end{pmatrix} \sigma_3 = -\lambda, \mathbf{v}_3 = \begin{pmatrix} 1/\sqrt{2} \\ -1/\sqrt{2} \\ 0 \end{pmatrix} $$ There are two ways...
Back
Top