# Determine probability for 2 2 χ χ x j y j yfx

• Notes
• 17

This preview shows pages 14–17. Sign up to view the full content.

Determine probability for 2 0 2 ~ ~ χ χ > x j y j y=f(x) y(x)=A+Bx+Cx 2 +exp(-Dx)+ln(Ex)+… ( ) ( ) = = N j j j j x f y 1 2 2 2 σ χ

This preview has intentionally blurred sections. Sign up to view the full version.

Usually computer program (for example Origin) can minimize as a function of fitting parameters (multi-dimensional landscape) by method of steepest descent. Think about rolling a bowling ball in some energy landscape until it settles at the lowest point 2 χ 2 χ Fitting Parameter Space Best fit (lowest χ 2) Sometimes the fit gets “stuck” in a local minimum like this one. Solution? Give it a “kick” by resetting one of the fitting parameters and trying again
Example: fitting datapoints to y=A*cos(Bx) “Perfect” Fit

This preview has intentionally blurred sections. Sign up to view the full version.

Example: fitting datapoints to y=A*cos(Bx) “Stuck” in local minima of χ 2landscape fit
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern