How to fit non-linear equations in excel using solver

Tutorial of how to fit non-linear curves in excel using solver. This tool lets you fit custom equations to your data. For example in this example we fit data to a modified version of the Avrami equation.
Thanks to Ozkar and Finke for their data and if you want to learn how to grab data from papers using WebPlotDigitizer, check out my video tutorial.
• Tutorial of WebPlotDig...

[@matthulvey8615]

Very helpful. One thing to note. The real reason we square the residuals is to ensure that that we are not minimizing the sum with positives and negatives. Being on either side of the fit is an error, but if left unchecked a residual of 0.1 and -0.1 would equate to zero when in fact they should be agnostic to which side the error occurred and sum to 0.2 . To fix that we square the values and everything is positive, thus finding the "least squares" gives us the best fit. I don't know if that is what you were implying in the video, but I did not hear that called out.

[@TaylorSparks]

You are absolutely correct. Thanks for pointing that out.

[@ProcrastinatingPoet]

Thank you for the clear introduction! Like another commenter I am trying to fit dose response curves which all have starts of 0, and it goes very odd, but you've got me further in a few minutes than I expected and opened my eyes to what's possible in excel (I don't get coding, despite trying to learn).

[@chadmace3355]

all these years I've always used Matlab or Python... Often find myself in Excel... this will work well. Thank you!

[@rainbowdust919]

Thank you! I just started a statistics class and I did not understand the residual until I saw it happen, visually, on your graph.

[@IrishJade84]

I have watched so many videos on how to do this and this is the first one that actually made sense and where I actually understood what components went where. Amazing! Thank you so much!

[@TaylorSparks]

Feedback like this makes me so happy.

[@charlierettner5286]

Great job leading us through this so smoothly. I suspect that most people coming here are like me and know what they want Excel to do but had no idea it could do it. It took me about 60 seconds to learn how to use solver from your video, as opposed to never on my own. Thanks!

[@TaylorSparks]

I'm so glad it was helpful!

[@N8Kracken]

Absolutely awesome video. Clear and to the point. Great work mate.

[@mjmeternal2696]

You made it very easy. In order to fit a model, bring any equation and very the parameters then go to Solver to minimise the sum of the squared Residuals (SSR) and this gives the best values for parameters.

[@feynstein1004]

I'm here from July 2023 and I'd like to say that this is EXACTLY how neural networks are trained. I watched Andrej Karpathy's full coding of ChatGPT and this is exactly what he did there. We have a certain expected output from the network. But the real output is different. We measure the difference i.e. residual i.e. error and work on minimizing that. That's literally all there is to it. The code is just there to make this process easier and find each parameter for billions of neurons.

[@TaylorSparks]

Yeah, a lot of people think machine learning and AI are more sophisticated than they really are. If you are interested in materials informatics I have a whole playlist from a course that I teach here at the University of Utah. Check it out

[@feynstein1004]

@@TaylorSparks Wow, didn't expect you to reply so quickly. Or at all 😂 Thanks for the video. It really helped me out. I'll check out your other stuff too when I get the chance 😃

[@sergiopipaonalcibar7885]

Great video. There is a lot of people out there doing super complex explanations for this, but this one is perfect. Thanks a lot.

[@TaylorSparks]

Thanks dude!!

[@leilanemdili3724]

This is the best video that explained the regression fitting. Thank you!

[@TaylorSparks]

🙌🙌🙌

[@ruslanakbar2730]

Hey, Taylor! Just wanted to thank for your all work, from material science to statistics!!!

[@TaylorSparks]

Thank you so much! Do me a favor and check out our podcast Materialism. You can find it on any platform and we would love to get an iTunes review if you've got a second. ;)

[@meganmcgee8187]

This is amazingly helpful! I watched numerous videos trying to do logistic regression fitting and this is the only one that helped me!

[@TaylorSparks]

So glad to help!

[@zahraghassemi2686]

Same happened to me. Thank you.

[@pragyandash6521]

Same for me

[@albertlee7433]

Wow.... you teach me what i really want. Thanks a lot!!!

[@melkamualebachew2845]

Thanks. I am using this for my thesis regression analysis!!!

[@karankotian04]

Thank you so much. It helped me a lot. Your explanations are simple and very efficient.

[@andrewniven4350]

Excellent video - I now use the solver option a great deal in my work. Thank you.

[@potatofries571]

bruh this explanation goes hard it was so clear and concise, I've tried to read how to use solver from other sources but they were always convoluted and not too useful. this video in contrast was good and efficient thank you!

[@TaylorSparks]

I gotchooo boo

[@michealcairns4971]

As a researcher myself investigating heterogeneous behavior, this short tutorial was extremely helpful. Brilliant explanation, Subscribed!

[@TaylorSparks]

Thank you!! Let me know what else would be helpful!

[@michealcairns4971]

@@TaylorSparks Is there any other way of further optimising the solvers fit within excel?

[@TaylorSparks]

@@michealcairns4971 I'm sure there is. I'm not an expert in using Excel's solver though.

[@emihlengqeme6823]

Wow thank you so much...i now have a clear understanding of this work

[@eqwan]

Awesome video! Helping me with my studies. Thanks a lot!

[@timr3621]

You explained it in 6 minutes better than my docent in 2 90min sessions, thank you so much!!

[@TaylorSparks]

Glad to help dude!

[@prasannareddy095]

i LOVE THE VIDEO, I ASKED MANY PEOPLE ABOUT IT, BUT NONE COULD EXPLAIN ME BETTER. Thank you

[@TaylorSparks]

Glad to help!!

[@yusif97abdin]

Short, direct and extremely helpful

[@TaylorSparks]

Glad it was useful!

[@georgehellas8184]

Thanks, you literally saved me trying to interpolate a sine wave to data that looked like a sine wave. Again thanks!!!!!

[@TaylorSparks]

My pleasure!!

[@francoistardif3091]

Absolutely excellent, enjoyable, clear and precise. Well done sir!

[@TaylorSparks]

Thank you so much. I'm super glad to help

[@souravnahihoonmain]

Really helpful video I used this in conjunction with Gompertz forecasting equation and found the optimal constants for forecasting shipment nos

[@TaylorSparks]

Glad it helped!!

[@liatzavodivker8087]

THANKS! Your explanation was super clear!

[@TaylorSparks]

Glad to help!

[@aditibahuguna7723]

Thank you so much, great explanation.

[@CivilEngineeringStuff]

Thank you. Great Explanation. Very helpful

[@addisonaverill1196]

This was so helpful! Thank you!

[@chadakarnsirasitthichoke9359]

Thank you. This is very useful!

[@rexkurosaki9368]

Mr. Sparks thank you very much!! You did me a big favor!!!!!!!!

[@TaylorSparks]

oh oh awesome, I'm always glad to help. Do me a favor and subscribe like and share. I'm trying to grow this channel so that more people can find it.

[@bowenqin8013]

a good solution to find the equations for solving "the area of hysteresis" problem. Thank you so much

[@TaylorSparks]

Great point. Very happy to help.

[@esraelsamuel1473]

Thank You, Taylor. I was trying to fit using MATLAB. However, your video is awesome

[@TaylorSparks]

Super glad to help. Thanks for tuning in.

[@rozhinmkian6325]

Now this is magic! Thanks alot, very helpful!

[@TaylorSparks]

Glad to help! Please like subscribe and share!

[@rogelv8td]

Thanks, very useful and quick video.

[@Prixi33]

This video helped me so much thank you man

[@kurry4209]

Dude, helped me out so much, thought I had to redo all of my measurements for a uni project. Very well done!

[@TaylorSparks]

My pleasure! Give the video a like, sub and share and it will help me keep making content like this

[@kazanrao]

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[@taniyakekunawelapathiranag4888]

This is very helpful! Thank you so much...

[@bwiredenis898]

Thanks a lot, very helpful. I got it

[@theblueshade_]

Helped me a lot, thanks

[@nipunweerakoon_97]

This is really helpful.Thank you so much.😃😃

[@ozandemir8822]

This is one of the most beautiful video on youtube. God! It's so good.. Thank you!

[@TaylorSparks]

Lol. Glad to help friend!

[@doreenpequiro6303]

Thank you so much!! Really helpful!!

[@davidreyes5076]

Thanks! simple, and very useful!

[@TaylorSparks]

Thanks! Like share and sub so I can grow the channel!

[@kiendagaetanvianneyramde27]

You’re amazing boyyyy!!! You just solved one of my chemical engineering project .Thanks

[@TaylorSparks]

Glad to help!

[@sandinomichaelangeloaguila3823]

hi fellow chemical engineer

[@govhull9933]

Great explanation! Clear and straight to the point. However, the main problem with fitting curve is to find the potential fitting equation to work on :)

[@TaylorSparks]

Ya. There's no substitute to some basic mathematics. They really are helpful when getting an equation of the right form.

[@larryblackwell700]

That was a fantastic video. Great presentation. Thank you

[@TaylorSparks]

So glad that it was helpful! Let me know if I can help with another topic. I also appreciate if you can like and subscribe to help me grow my channel.

[@user-dt8hk4zi3e]

very helpful, thank you sir!

[@christiankeza]

thank you so much, Sparks. now I can defend my thesis!

[@TaylorSparks]

wow! I'm so glad to help! Good luck on your defense.

[@michaelze6832]

Thank you, that was really helpful.

[@hoseinpahlavan9295]

Thanks Taylor . That's very helpful:)

[@George-rq1yp]

wow very helpful demo, thank you!

[@bobrivera6667]

It was very helpful, thank you

[@Asmelash2023]

Helpful, thank you so much

[@user-pl3rc2zx8z]

THANKS! Your explanation is awesome! It is helpful!

[@TaylorSparks]

Very glad to help

[@AliAlderete]

This is so useful, thanks a lot!

[@TaylorSparks]

Happy to help!

[@Yomohayaru]

this make me more understand about sigmoid value. Thank you!!!

[@TaylorSparks]

Heck ya homie!

[@Remenry]

This helped me A LOT! Thank you!

[@TaylorSparks]

Glad to help!

[@wangwang6245]

very helpful!! thanks!!

[@SasaCecaSole]

Big THANK YOU!!!

[@dr.ajaysujan2258]

Explain everything in very easy manner... Nice job

[@TaylorSparks]

Heck ya

[@israelsoto9538]

So much THANK YOU!

[@user-cl5sn1gg6i]

Excellent!

[@bhukyarajkumar8676]

Thank you sir Nice explanation

[@hassanelbari8636]

Thank you Taylor for sharing this very important video

[@TaylorSparks]

Glad to help! Sub to see more content.

[@chandrakanthmalyala1942]

Thank you. That helps

[@W_B_855]

Great video!!!! Congrats

[@halilyilmaz3586]

Well explained. Thank you.

[@TaylorSparks]

💪🏻💪🏻💪🏻

[@alexhands8229]

Amazing video, love your work, saved my chemistry degree xxxx

[@TaylorSparks]

Woohoo!! This feedback makes me so happy. You might like our materials science podcast "Materialism." Drop us a review if you can.

[@TheMarkaizer]

Thanks a lot!!!

[@FunWithBits]

well explained , Thank you

[@coltonsowsun3681]

Thank you for mentioning that the Solver needs to have a initial best fit that is somewhat close to the existing data! I tried this method after watching another video, the author failed to mention this and I was very frustrated after spending over an hour going thorough my excel sheet looking for problems that were not there.

[@TaylorSparks]

Right? Makes a big difference

[@sanadaltarawneh3550]

You are a legend.

[@saidfigueredo]

My english listening is very very bad, but it was no a problem for I reproduce your procedure, excellent, thank you so much bro

[@TaylorSparks]

Super glad to help!

[@souvikbanerjee6994]

Thank You!

[@donxevir]

Thank you. Saving a students life rn.

[@kazanrao]

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[@oakmeal53]

Sir, you are awesome!

[@TaylorSparks]

Why thank you very much!

[@Doctor_Drew]

Yes! Thank you! I will be using this for my research as well as for my own educational purposes of modeling covid-19 confirmed cases

[@TaylorSparks]

That's wonderful!

[@tecnocato]

Got here for the same reason. Thank you, Taylor!

[@jannieschluter9670]

Reported covid19 cases are forged...

[@tecnocato]

Jannie Schlüter Wear an aluminum foil hat. Problem solved.

[@jannieschluter9670]

@@tecnocato you already wearing it. Nothing gets through your thick melon. 🙉

[@shalinivijayekumar3515]

lifesaver!

[@mjmeternal2696]

I benefitted. Thank you

[@kazanrao]

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[@PetualangWawasan]

Very helpfull tutorial, thanks!

[@kazanrao]

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[@KostasGiotis]

amazing, thanks!

[@chandrakanthmalyala1942]

I never knew about plot digitizer before watching your video and going through the description

[@TaylorSparks]

It's so great

[@KamalSingh-dn7gv]

I have one word. Beautiful video. Thanks

[@TaylorSparks]

Heck ya!

[@collegemathematics6698]

Greatest curve fitting vedio.. Thank you. 🌹 🌹

[@TaylorSparks]

Why thank you!

[@collegemathematics6698]

@@TaylorSparks you did great jobe. You deserve a big thanks. 🌹

[@mohammadjannesary5442]

thank you so much

[@mustafagokalp1818]

Great. Thank you.

[@atiliaathira11]

Love the way you explained. Very clear. Thank you so much,

[@TaylorSparks]

Glad it helped!

[@cenrrique175]

Gracias hermano! me ayudaste!

[@TaylorSparks]

De nada che!

[@adityamanimishra5053]

Its great video. Very short and only informative. Thanks

[@TaylorSparks]

Glad to help!!

[@adityamanimishra5053]

@@TaylorSparks I am looking for parameter estimation for a system of ODE direclty without finding its solution. I would be grateful if you suggest anything to me.

[@apnaphysics_]

very helpful,keep uploading this type of content

[@TaylorSparks]

Got a specific need?

[@gabrielmariz9610]

Wonderfull video!!! Very precise and usefull information. I want to try doing this using Origin or R, but I need a video like this.

[@kazanrao]

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[@alaad1009]

Great video

[@KevNug91]

Nice job, sir!

[@TaylorSparks]

Glad it helped!

[@jonasvonweissenfluh702]

Great vid thx man!

[@TaylorSparks]

Thanks dude! Like, sub, and share to help me grow. What else would be helpful to see?

[@happinessijeomaezeonuegbu7521]

so so great, thanks a whole lot

[@TaylorSparks]

Glad to help

[@InfinityLRDL]

Thank you 🙏 solve my question within 6 min lol. I’m trying to do my homework for mass transfer and needed this

[@TaylorSparks]

Pleasure to serve!

[@Jehosafath]

Thank you for you comprehensive video. I have a simple question, How can we define the error or standard deviation from the fitting constant A, k, n ?? e.g. A+/- something, k +/- something and so on.