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

[@OWTShark]

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

[@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!

[@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!

[@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

[@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?

[@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!

[@b5lovermore]

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

[@user-bu9mf8jm8z]

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

[@MariosMathTutoring]

Welcome!

[@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

[@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!

[@faustmaglinao1331]

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

[@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.

[@md.morshedurrahman5940]

Well explained.

[@Eliaz_]

You helped me with my work thank you

[@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!

[@danielwinter441]

very good way of putting it. thank you man

[@unity3dconcepts434]

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

[@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.

[@elina1015]

Thank you Mario for this video!

[@Hrishiraj2003]

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

[@seliland]

This is so helpful!

[@MariosMathTutoring]

Glad my video helped you!

[@kgosietsilemodisane8459]

So simple. Thank you!

[@MariosMathTutoring]

You're welcome!

[@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!

[@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

[@johnnydevvn]

Thanks for your knowledge.

[@ahmetemin1721]

Thank you for the clear explanation, it really helped 👍

[@MariosMathTutoring]

You are welcome!

[@perfectstrokesllc]

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

[@kimhanjiya6076]

very good explanation,, thank you so much

[@ultraist6864]

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

[@MariosMathTutoring]

You’re welcome! Glad my video helped you!

[@levitatingmonkeys9544]

thanks for the simple explanations!

[@MariosMathTutoring]

You’re welcome!

[@emilynguyen7848]

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

[@MariosMathTutoring]

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

[@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

[@TheAssaron]

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

[@MariosMathTutoring]

Glad you liked the video Christopher!

[@norahtrowbridge2629]

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

[@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!

[@HarpreetSingh-ke2zk]

Straightforward and easy to comprehend when it enters the brain.

[@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

[@macpr0c]

Short precise and to the point, thank you for the clarification

[@MariosMathTutoring]

You’re welcome!

[@sarraelm5947]

Thank you so much you saved my exam

[@amuthan3710]

Nice simple and clear explanation. Thank you.

[@NoNonsense_01]

Wonderfully clear explanation!

[@toxicantarttoxicantart3650]

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

[@mandynguyen8176]

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

[@evelynescheck9551]

Thank you for explaining this! It helped a lot!

[@MariosMathTutoring]

Glad it helped you Evelyne!

[@makrinetskipurishvili]

Thanks for the super clear explanation!

[@dixdepiques]

thank you mario!

[@chickfila1398]

Thank you this really helped

[@aleksitjvladica.]

Thank you!

[@erislashg]

Very clear explanation!. Greetings from Argentina

[@MariosMathTutoring]

Glad you liked my explanation! Wow Argentina cool!

[@tsi6651]

Great video, thank you

[@benbuk]

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

[@MariosMathTutoring]

Welcome to the channel Benedict!

[@ian.ambrose]

Thank you.

[@beaulahjohn2528]

Thank you Mario ❤

[@MariosMathTutoring]

You’re welcome.

[@baharehghanbarikondori1965]

really useful, thank you

[@liamoneill3691]

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

[@syedrizvi2687]

Thanks a lot!

[@alexvillegas8155]

Thank you , that was exellent.

[@MariosMathTutoring]

Glad you enjoyed it!

[@mponcardas94]

Very concise explanation yet very substantial. thanks!

[@MariosMathTutoring]

You’re welcome Mai! Glad you liked my short to the point tutorial!

[@uttamkp2009]

helped very much

[@JelaniOAO]

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

[@tastethereynbow]

Thank you helped so much! I appreciate it :)

[@MariosMathTutoring]

Glad my video helped you Reyna!

[@user-fj5rk7dj3w]

thank you

[@joemiller9445]

Thanks Mario! Clear + concise.

[@MariosMathTutoring]

You’re welcome Joe! Glad you liked the video!

[@ebdiamondryan1507]

This helped me with an assignment. Ty

[@Hadid8289]

excellent sir

[@MariosMathTutoring]

Glad you liked the video Wa Sif!

[@sabatinotedeschi444]

Explained it very well, ta

[@MariosMathTutoring]

Glad you liked my explanation Toorima!

[@unclejerry8261]

Thanks Mario, you’re a legend

[@anderst.3541]

Thanks

[@Ali-ee6wp]

Thank you very much for the brief and useful content

[@MariosMathTutoring]

You’re welcome Ali!

[@Veeruu]

Thnx man

[@kirrbyyysnutty]

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

[@lilkim8616]

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

[@MariosMathTutoring]

+lilkim86 your welcome!

[@vincegms8240]

Short and precise. Just what I was looking for. Thanks so much!!

[@MariosMathTutoring]

You’re welcome Vince!

[@maverickf22eagle94]

Thank you 🙏😊

[@MariosMathTutoring]

You're welcome 😊

[@mkallechy1454]

Thank you this was really helpful !

[@noahaskin96]

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

[@ashes._.5076]

thanks man

[@dockolb]

Thank you

[@MariosMathTutoring]

You’re welcome!

[@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

[@abdulrahmanradwan6167]

Thanx

[@preciousokafor5512]

Thank you Mario.

[@MariosMathTutoring]

You’re welcome!

[@justusadams6837]

thanks for the +2 points on my assignment ;)

[@neelpatel-cm8qg]

Thanks for saving my day sir. Rly helped.

[@MariosMathTutoring]

You’re welcome

[@yaqub5322]

thanks sir this helped a lot.

[@MariosMathTutoring]

+Football Videoz your welcome! Glad it helped you!

[@christinevuongg]

good job

[@WA-hq6ls]

this is extraordinary

[@MariosMathTutoring]

Glad you liked the video Allen!

[@051akramhosen9]

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

[@MariosMathTutoring]

You’re very welcome!

[@chair6152]

Thank you so much! Very helpful

[@MariosMathTutoring]

Glad my video helped you!

[@shailuyadav385]

Hey Mario bro nyc explanation,what's up 👌

[@travishardwick8428]

yes this helped, thank you

[@MariosMathTutoring]

+Travis Hardwick awesome! Glad it helped you.

[@diliniliyanage6739]

thank you sir

[@MariosMathTutoring]

You’re welcome Dilini! Glad you liked the video!

[@iamkenyaclarke]

Thanks. What is the definition of interpolation?

[@agnieszkarutkowska8244]

great work, thanks a lot

[@MariosMathTutoring]

You’re welcome Agnieska!

[@minaastro]

Thank you very much ...That's very helpful

[@MariosMathTutoring]

You’re welcome Mina! Glad my video helped you!

[@rathinarajajeyaraj1502]

awesome

[@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.

[@simarjotsingh3866]

Great sir

[@MariosMathTutoring]

Glad you liked the video Simarjot!