Polynomial regression in MATLAB

This screencast discusses polynomials an their representation in MATLAB as vectors of coefficients, the POLYVAL command for evaluating polynomials, the POLYFIT command for finding the polynomial of best fit through a set of paired data, and how to plot the polynomial regression line obtained through POLYFIT on top of a scatterplot.

[@carnac333]

These videos are perfect for starting up with MatLab. These are a HUGE help for me. Big thank you from Finland!

[@SamuelWattOnline]

Really appreciate these tutorials, very clear and concise.

[@oldaccountyeet5765]

Best explanation on polyfit/polyval I've come across so far.

[@JoshuaJohnMusic]

you are basically my professor now. you may save my grade for a class on this.

[@vincentperrenoud8989]

9 years after, but it's still so helpful!! Thank you so much!

[@blackriverrampscom]

9 years old, still the best video I could find, thanks!

[@dobraOsoba]

I'll have to write to youtube to make your tutorials the first result when searching for matlab tutorials. It would've saved me a lot of trouble had it been that way. Never truly understood the usefulness of matlab till now. Thank you very much sir, this is such a pleasure!

[@fairouzyousof]

love your explaination, even something might be basic, but still you explain it like the "hold on" command. Thanks

[@manuelcruz7934]

Thank you! This was very easy to understand and extremely helpful!

[@reyesamell]

Oh Thank you so much, I had been looking for this the whole afternoon.

[@dargue2021]

You explain things so generously for a beginner like me. Thank you for your work! God bless

[@chimaujoatuonu19]

You made it quick and simple. Thank you.

[@desaigeneral]

'Polynomial regression in MATLAB' ----> Sir, thank you very much. Few days ago started learning MATLAB and your videos are of great great help to me. Could you please explain how to calculate R^2 value? Could you also explain me how to calculate uncertainty associated with the new cubic fit values?

[@MaraSilvamaramaRama]

your explanation is so good ! thanks

[@RIPpudrow]

Thank you so much. I always forget little functions like polyfit/val I learned years ago!

[@stallonetht]

Hey! you are really doing good jobs in teaching MATLAB through youtube! Thanks!

[@kaanalpkozanl3914]

If my instructor at university had given us your youtube page link instead of coming to lectures, I would love the whole course instead of thinking about life.

[@Sunny57500]

Thank you Robert. It was very helpful.

[@justpab]

Thank you, this was very easy to understand!

[@ruizeng3076]

Thank you! It's really easy to understand even for a beginner like me.

[@ksh2106]

Great job, took you 10 minutes to explain and hours worth of material!

[@diplodium]

Excellent video, thank you so much

[@hilalvenus]

These are awesome. Thanks a lot!

[@lotr117]

OMF thank you!! Keep the videos up!

[@yangballball]

It is very easy to understand! Thanks!! :)

[@Leonanas]

phenomenal explanation

[@2010aurnob]

Amazing tutorial. Thanks

[@gennapeltier8352]

so I NOW understand polyval...thanks so much! :)

[@felixasoba5120]

Thanks for the knowledge.

[@leeholloway6284]

You're the man, thanks

[@raamannair4272]

Computational Physics finals coming up & this really helps.

[@test123ok]

Thank you sir!
Is there a way to estimate a datapoint that is outside the provided data ? i think polyfit gives a great fit upto the given datapoints, but the curve changes direction after the last datapoint.

[@cakdian]

Thank for your nice tutorial
permit to download sir

[@JeaneAdix]

This was really helpful thanks!

[@akm3014]

Hi Robert,
I have a problem and I would like some help if
possible.
I am busy studying the mutual influences of the price
of one good on another. In order to do so, we came up with the following model
Xi = αi - aPi + bPj (1)
Xj = αj + bPi - cP j (2)
I would like to use the Chebychev algorithm interpolation
and Gaussian quadrature schemes to approximate the parameters αi, αj,
a, b and c.
I also know that this is linear system of equations

[@bluesky5897]

Thanks a lot. This is very useful for me.

[@pz0513]

Great tutor!

[@henrynwogu1838]

very nice video. What if i have two triangle waves with irregular period, how can i fit both vectors together?

[@yousefkhalil8448]

this is a greaaaaaaaaat video. Thanks

[@bionerd100]

Hi,
How do you specify the start and end of a regression line based on min and max x-values? I use "length(x)"? How do I "integrate" it in after making a graph?
Thank you,
K

[@hussain55019]

Thanks a lot Sir..

[@Thadnill]

why does [, options] contain in your plot at 9:44 ?

[@jack777512]

Thank you very much

[@kevinyaeger8167]

Thanks!

[@tesfayesuszinare939]

wonderful piece of work. Dear Prof, How can I get Multilinear models - four regressor variables (x1; x2; x3 & x4) with Surface Fitting Tool in Matlab?
To get Polynomial of second order : y = B + a1(x1)^2 + a2(x2)^2 +a3(x3)^2+a4(x4)^2 + a5(x1)(x2) + a6(x1)(x3) + a7(x1)(x4)+a7(x2)(x3)+a8(x2)(x4)+a9(x3)(x4) and how to use cftool
Please give me some introduction to do this or any hint.
Thanks a lot.

[@elwez4742]

THANKS YOUR THE BEST

[@kyleparsotan6799]

how would you do a log function and a non linear functions?

[@arber555]

How could I add confidence intervals along this regression line?

[@lpsoldier8627]

that was really cool

[@johnow4464]

Hi, how can i get the equation from the 3rd degree polynomial?

[@sxndrxcore]

Hey man ¡¡ thanks a lot for the explanation____ I know it something silly but I don´t speak english very well and u speak so fast :) but I understand almost everything :)
Thank you again really useful..

[@ChenWhiteHorse]

thank you for helping me

[@hadeerkareem8320]

thanks

[@CrispyCyclicCenk]

thank you very much

[@sandeep007734]

thanks.. good video

[@sriram-yh1un]

wonderful

[@pretty4lyf1]

Please can you send me your wallpaper? I really like it. And thanks for the video.

[@NishaniENT]

Thanks man..

[@amirhosseinrahimi8738]

Tnx man!

[@-.____________________________]

What if you're given a set of x y values and want to manually create your own polyfit function? Can't figure this out!!!! Help please

[@mavalderramag1]

thx!

[@amcbirds]

OH GOD i have my finals tomorrow...why didnt i find these videos before :(

[@abderrahimwakif9240]

it is very interesting cours

[@bubushhh]

QMUL gang where u at

[@Adsabs12]

Americans are better explainers than Brits and Australians...... thank alot

[@chamilperera7827]

Mrmalleableful I absolutely agree with you, because even if you take a text book written by a British, that is really difficult to read compared to one written by an american. Americans create academic and scholarly article to educate people while British write to show off their colors. But I cannot generalize this accusation, since there are lot of British scholars who are outstanding teachers.

[@afrinakhanam4696]

Very helpful, but you speak too fast. Needed to slow the speed to 0.75 to understand you!

[@grupadziewiata8684]

grupa 9 jara się tym