What is Interpolation and Extrapolation?

Learn the difference between interpolation and extrapolation in this free math video tutorial by Mario's Math Tutoring.
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[@MariosMathTutoring]

mariosmathtutoring.teachable.com/p/learn-algebra-1-video-course Check out my Learn Algebra 1 Video Course for sale. I teach you chapter by chapter and section by section. There are 87 video lessons and over 11 hours of video. For less than the price of a private tutoring session you have lifetime access to the course and can work through it at your own pace. Check out the 13 free lessons (1 from each chapter) at the link above. - Mario

[@shivanandchannakote1461]

Mario's Math Tutoring

[@abhisheksah]

Shivanand Channakote

[@randjaff4146]

Habibi, how can I thank u, my teacher kept on shouting at me for not understanding, I can’t wait to show him how good u are. Thank you again habibi mr Mario

[@Nature-kv1mr]

use pascals triange in binomial method to grasp ua teacher as well.......

[@tigger_95]

why is bro saying habibi so much

[@windydaysbb]

@@tigger_95he said it twice

[@emilykenoski7649]

thank you! this helped me so much... of all the hours i’ve been studying.. I COULD NOT UNDERSTAND THIS!!

[@MariosMathTutoring]

Glad my video helped you Emily!

[@OWTShark]

I learned more from a 3 minute video than 45 minutes in class, thank you even after all these years.

[@seliland]

This is so helpful!

[@MariosMathTutoring]

Glad my video helped you!

[@mandynguyen8176]

still helpful to this day. Thank you so much Mario!

[@toxicantarttoxicantart3650]

thanks so much for this video as this will help for my upcoming math test!!

[@khadijahflowers5566]

Been on KZbin for an hour looking for a simple explanation of what this was. Thank you so much!

[@MariosMathTutoring]

Your welcome! Glad my video was able to help you!

[@00BChill]

Thank you for the video. Intent: Everything you wanted to know from this video: - interpolation is real factual data collected - extrapolation is estimated data based on the equation generated by the data collected Abstract Jargon: known data points = real factual data collected 2+ known data points => interpolation interval => equation data points outside interpolation interval => using equation => estimated data points (extrapolation) The interesting question for me would be now how to determine the equation?

[@MariosMathTutoring]

Line of Best Fit Equation kzbin.info/www/bejne/ep6qfYShitJgask

[@iamkenyaclarke]

Wow that’s for that definitions! How can this formula be used out side of graphing maybe with real numbers?

[@roderick_fish]

The explanation is so clear. Thank you, Mario.

[@MariosMathTutoring]

You’re welcome Roderick! Glad you like my way of explaining!

[@AlejandroColon123]

Where's Luigui?

[@dillonmarcellus6220]

@@AlejandroColon123 haha

[@MariosMathTutoring]

The next thing you will want to be able to do is to write an equation of the line of best fit. See that video I did here: kzbin.info/www/bejne/ep6qfYShitJgask

[@dewanfariharamisa5664]

would you please upload a video on using and understanding interpolation?

[@IAmHereForeve]

3 years late but... Any data point between the two points ON the slope (1,-3 and 7,5). Any point (x,y) in that line between the two points is INTERPOLATION. (1,-3)................................................(7,5) Any point (x,y) outside of those two points is EXTRAPOLATION. ........................................(1,-3) (7,5)....................................................... Interpolation is mainly used to fill in missing data that would normally fall within certain data points. Extrapolation is used to predict how something was way beyond we started collecting data or in the future by using current data points.

[@edmondeyeemceeezekiels9158]

Wow!!! I really didn’t expect to have this whole thing explained to me under 3 minutes. Guess it’s always been in me and I’m just looking for a guide. Thanks for a clear crystal explanation. Spot on!

[@spensert4933]

Reddit post today says it's the most complex of all math skills?

[@JB-iw1lt]

Poly-dimensional topology seemed like the most complex

[@spensert4933]

@@JB-iw1lt silly me

[@Eliaz_]

You helped me with my work thank you

[@mohammednihad6755]

So if I have a huge set of points on a 2D plain (Billions and billions of points!) is there a way for me to find an equation y=f(x) such that: the equation must find the Y value of each point from its X value, is there really a way to find an equation for such a huge collection of points?? Thanks in advance sir

[@misganawnebaw1710]

thank you sir, i have got tangible insight in a couple of minutes God bless you am from Ethiopia

[@MariosMathTutoring]

Glad my video helped you!

[@ultraist6864]

Thx I’m studying for an exam and this helped a lot

[@MariosMathTutoring]

You’re welcome! Glad my video helped you!

[@md.morshedurrahman5940]

Well explained.

[@harrisonrosser6394]

why is jeff teaching me

[@arielleinspo]

Thank you so much. I was so confused in class and we have a check in tomorrow so I really appretiate how on point this is

[@jazmineforoughi2013]

My exam is on Monday!! Thanks for the help :)

[@MariosMathTutoring]

You’re welcome Jazmine! Glad my video helped you. Good luck on your exam!

[@fr0xk]

I use this method for speculation on price chart. If we can contextually interpret price direction (an object in motion tends to be in motion), price action behaviours are kinda interesting. Allan Andrew's have developed a technique called pitchfork, which works kinda same way but more advanced

[@b5lovermore]

I googled this and was so confused. Now I understand and it's actually quite simple! Thanks so much.

[@Slxxpy.G]

So many bots and i still dont get wtf interpolation is.

[@faustmaglinao1331]

Short and direct to the point! Thank you. It's clear to me now. :)

[@kimhanjiya6076]

very good explanation,, thank you so much

[@crowmaster9652]

So basically whats in between the dots is known while anything outside the direction the dots show is the unknown. The dots represent the nature of something, however the only way this would be remotely useful is if the elements are looked at thoroughly at a particular point in time where the dots trend in favor(or possibly a decline). To determine the future is still unknown as anything with factors everywhere can possibly negate predictions assuming variables don't exist.

[@UncleWally3]

This is not a mathematical question, not even sure if it’s a useful question, but here goes: If an indicator of the quality of an interpolation is its exactitude, what is an indicator of the quality of an extrapolation?

[@dantesolano835]

Thanks Mario you are so cool. You helped my friend and I on a precalculus project. Your work is appreciated.

[@MariosMathTutoring]

Glad my videos helped you Dante!

[@besdresmeka]

I hope you may thank me too, for letting you know that your sentence should be, "You helped my friend and me on a precalculus project.", because if you remove "my friend and" from the sentence and just spoke about yourself, "I" would be wrong. Cheers.

[@emilynguyen7848]

Thank you so much!! This helped a lot for Physics!!

[@MariosMathTutoring]

You’re welcome Emily! Glad this helped you with your Physics!

[@oliviali7976]

This was very helpful! Thank you for the clear description of the concept! I finally understand.

[@MariosMathTutoring]

+Olivia Li your welcome! Glad my video helped you!

[@gawad2829]

Hey. Interpolation is widely used in programming, and this explained it really well for me. Thanks alot Mario!

[@MariosMathTutoring]

+Gawad your welcome. Glad you liked the explanation.

[@yasinabusuna]

"alot" is supposed to be a lot. A and lot aren't one word, they are 2 separate words.

[@Ninja-nv9dr]

@@yasinabusuna you probably weren't trying to be rude, but there was really no need for that

[@lilkim8616]

thank you so much...this helped a bunch!

[@MariosMathTutoring]

+lilkim86 your welcome!

[@shailuyadav385]

Hey Mario bro nyc explanation,what's up 👌

[@Hrishiraj2003]

Thank you so much sir, You're a life saviour.

[@norahtrowbridge2629]

THANK YOU! this helped me so so much....

[@051akramhosen9]

thank's for giving introductional idea.....( i am from bangladesh)

[@MariosMathTutoring]

You’re very welcome!

[@iamkenyaclarke]

Thanks. What is the definition of interpolation?

[@TheAssaron]

Awesome short video. The explanation ist just on point. Perfect!

[@MariosMathTutoring]

Glad you liked the video Christopher!

[@tastethereynbow]

Thank you helped so much! I appreciate it :)

[@MariosMathTutoring]

Glad my video helped you Reyna!

[@danielwinter441]

very good way of putting it. thank you man

[@RobertoAntonioMenjívarHernánde]

Ive been on YT long time looking for a good explanation like this. thank mister.

[@MariosMathTutoring]

Welcome!

[@Serenity.Solstice]

Wow, this is a lot better than the paragraph my prof defined it as. Thank you very much!

[@MariosMathTutoring]

Glad it was helpful!

[@alocin110]

Professor: this is a straight line equation. How it is possible it will change its slope. you wrote an equation that is for a straight line, so you should have said for a given set of date (boundaries) we do interpolation, beyond that boundaries it is extrapolatio", it is that simple.

[@elina1015]

Thank you Mario for this video!

[@johnnydevvn]

Thanks for your knowledge.

[@evelynescheck9551]

Thank you for explaining this! It helped a lot!

[@MariosMathTutoring]

Glad it helped you Evelyne!

[@yaqub5322]

thanks sir this helped a lot.

[@MariosMathTutoring]

+Football Videoz your welcome! Glad it helped you!

[@unity3dconcepts434]

Thank you... Mario has always helped me since my childhood. One helped me to save Princess and the other in building the Princess :-) :-)

[@e_6ix100]

so basically, interpolation is those two dots that touch the line exactly right? i need a feedback so that i know if im wrong or not, thanks for the help

[@MariosMathTutoring]

Interpolation is a way of estimating values in between actual recorded values from an experiment for example...

[@alialzaidi4837]

الف رحمه عل ديس الرضعته والله انت شريف

[@blgoz783]

Hi, can we use interpolation for measuring a KPI scorecard Want to use this for both increasing and decreasing thresholds? (Strecth and target values) then interpolating to a scale like 80-100 Both for reduction KPIs (e.g interruption duration) and increasing KPIs (e.g market share)

[@Hadid8289]

excellent sir

[@MariosMathTutoring]

Glad you liked the video Wa Sif!

[@travishardwick8428]

yes this helped, thank you

[@MariosMathTutoring]

+Travis Hardwick awesome! Glad it helped you.

[@EnjoyPoPcornYagnik]

Thanks for the explanation and I'll be learning maths from you in here😊. I came here after getting stuck in my game smooth movement

[@perfectstrokesllc]

Excellent explanation. I enjoyed listening to you and learning from you. Thank you

[@chickfila1398]

Thank you this really helped

[@sarraelm5947]

Thank you so much you saved my exam

[@erislashg]

Very clear explanation!. Greetings from Argentina

[@MariosMathTutoring]

Glad you liked my explanation! Wow Argentina cool!

[@ahmetemin1721]

Thank you for the clear explanation, it really helped 👍

[@MariosMathTutoring]

You are welcome!

[@aaronspeedy3087]

I've seen this used with Frame Boosting in Animation I wonder if the same could be done with Path and Raytracing in 3D Modeling

[@tsi6651]

Great video, thank you

[@tamalsaha8837]

I need an exact equation of "Linear regression extrapolation for time series data forecasting", Can anyone help me?

[@kirrbyyysnutty]

I feel so smart right now, and I know by tomorrow’s in class math assessment I’ll forget about these 🥲

[@JelaniOAO]

Thank you bro, Literally just saved me on one question for my class

[@robloxclips3544]

can you site experiment example how to determine the data point where i can base interpolation and extrapolation?

[@amuthan3710]

Nice simple and clear explanation. Thank you.

[@neelpatel-cm8qg]

Thanks for saving my day sir. Rly helped.

[@MariosMathTutoring]

You’re welcome

[@baharehghanbarikondori1965]

really useful, thank you

[@liamoneill3691]

Thank you I needed help for homework and this really helped🙏🏻

[@HarpreetSingh-ke2zk]

Straightforward and easy to comprehend when it enters the brain.

[@noahaskin96]

thank you mario!! you seem like a very sweet person ❤️❤️

[@EWB438]

Tomorrow is my exam.thank you

[@MariosMathTutoring]

Good luck on your exam Subhankar! Report back if you want and let us all know how you did.

[@hitarthvyas7860]

Thank you Agent 47

[@liamhoward2208]

You are extrapolating

[@agnieszkarutkowska8244]

great work, thanks a lot

[@MariosMathTutoring]

You’re welcome Agnieska!

[@ethanblackthorn3533]

What field of math is it?

[@kgosietsilemodisane8459]

So simple. Thank you!

[@MariosMathTutoring]

You're welcome!

[@noahcardozo5506]

This helped a lot thank you

[@MariosMathTutoring]

+Noah Cardozo your welcome.

[@playwithdata2635]

helpfull

[@MariosMathTutoring]

+preeti byahut glad you found it helpful

[@makrinetskipurishvili]

Thanks for the super clear explanation!

[@levitatingmonkeys9544]

thanks for the simple explanations!

[@MariosMathTutoring]

You’re welcome!

[@dixdepiques]

thank you mario!

[@mandynguyen8176]

still helpful to this day. Thank you so much Mario!

[@uttamkp2009]

helped very much

[@SuperMIKevin]

This is very interesting and I imagine it's easier to understand and quantify when it's in numbers, but what is your opinion of extrapolation and interpolation of historical and political logic?

[@SuperMIKevin]

Here I am 2 months later, April 1st 2023. The Dawn of AI, the biggest problem I see in this world is people's inability to extrapolate. We all have our flaws, I know one of mine is a lack of interest in interpolation, I know for a fact, if I spent more time interpolating I'd be financially wealthy but I prefer to extrapolate, I believe I fell into this habit because most people around me had a deficiency in their own ability to extrapolate. I believe AI is my solution, it will help me to focus my energy on interpolation and maximize my ability to extrapolate. It's gonna be a fascinating world.

[@benbuk]

Wow! First time here, I subscribed right away. Simplified explanation

[@MariosMathTutoring]

Welcome to the channel Benedict!

[@justusadams6837]

thanks for the +2 points on my assignment ;)

[@mkallechy1454]

Thank you this was really helpful !

[@alexvillegas8155]

Thank you , that was exellent.

[@MariosMathTutoring]

Glad you enjoyed it!

[@unclejerry8261]

Thanks Mario, you’re a legend

[@syedrizvi2687]

Thanks a lot!

[@NoNonsense_01]

Wonderfully clear explanation!

[@ian.ambrose]

Thank you.

[@aleksitjvladica.]

Thank you!

[@ebdiamondryan1507]

This helped me with an assignment. Ty

[@태정태세이문세-h4p]

thank you

[@sabanaydn8952]

Thank you.

[@bottlesmithX]

Well Done 47

[@ashes._.5076]

thanks man