Interpolation and Extrapolation: Estimating Values from a Graph

How to estimate values from a graph using interpolation and extrapolation.

[@tombanner9492]

I'm watching this 10 years after it was released, thanks Mr. Barnes, if your still here.

[@rachaelleamanda6325]

you literally saved me from panic i tried other videos but it made me even more confused but you helped extremely thank you

[@annermita]

It helps me today when I can't understand our math book regarding to interpolation and exterpolation. Thank you, Mister!

[@ghaster4322]

I had zero idea at first and science project due next day. You are the reason I managed to complete it. Thank you so much, continue on, you are great at this. :D

[@deskibumz]

Matt, just find the equation of the regression line and substitute each value in. You can find the equation using the Median-Median Method or the Least Square Method.

[@firebramblejaystar11]

Great help thanks a lot for making this more clear than what my teacher told my class

[@MrLazyEyes]

I saw the numbers of views was 165, and then I clicked on the video and now there's 190 views. You're famous sir!

[@jaimiebeast7474]

edit: 163,059

[@ShadowViking47]

Thanks for getting me through my homework

[@mathwithmrbarnes]

+ShadowViking47 You're welcome! Keep up the hard work!

[@docJustBetter]

What's ur job ??? It's been 7yers

[@docJustBetter]

Years*

[@ShadowViking47]

@@docJustBetter 4th year engineering

[@ProGamer-jy3gb]

Thank you, i am really good at math and one of the top students in my class at math but stuff about graphs really confused me and i didnt know what it was and how it works but now i do,thanks, this helped me a lot. i watched 3 different vids to explain but this one was very simple and made sense,great work.

[@seobyung-soon7788]

Pro Gamer Same here honestly

[@sunrisesharkYT]

thank you this helped me a lot on my hmwk

[@znrdn]

Thank you, Mr. Barnes, for the very helpful video!

[@linaghaida5044]

thanks for explaining in very simple way. help me a lot!

[@mathwithmrbarnes]

Thanks!

[@reshad4890]

Very good.thanks a lot.

[@michaelsouth88]

So that's how it's done. This saved my homework, thank you

[@TheRealTrimBrady]

I figure that interpolating is estimating between two poles.

[@dannyluo2077]

In the first example that you showed, I got the exact values for x=5.1 and for x=9.3: when x=5.1, y=3.55 ; when x=9.3, y=5.65. If you're wondering how I got those values, here's how: I found the equation of the line to be y=(1/2)x+1.

[@formdoggie5]

The problem with that is in the fact that, while you did a great job is discovering the root equation that allows you to find exact values, the question directs you to ESTIMATE to find your solution. While the above will certainly assist you in increasing accuracy, for testing purposes, giving an exact answer will likely yield an incorrect mark as it represents a failure to follow instruction. Example: putting y = 3.55 instead of say, y = 3.6 or 3.5 Just a heads up as it's definitely something to watch out for, and when in doubt, ask your instructor for clarity.

[@dannyluo2077]

formdoggie5 Ok, so thanks for your advice, and I hope I remember it.

[@abekmuratov]

Thanks from Kazakhstan! Keep it up!

[@ridatakahari]

Super well explained compared to other videos on this subject. Thank you.

[@thaliamassena8658]

You're great! Thnx for helping me with my homework

[@mathwithmrbarnes]

+Thalia Massena Thanks!

[@samanthadodd2120]

this man got 156,000 views on a video about math. what a legend

[@Steve.Harvey2]

what if the points were not on the graph like if the graph said to go to 1000 but the axis only had 10

[@livlioncake8524]

Thank you, this really helped :)

[@Lifdss]

thanks this video help me with my work and homework thxs mr b

[@TheRealTrimBrady]

This stuff is really easy if you have a computer. For the first one, using a Python interpreter after finding the equation (y=x/2+1), I found that if x=4, then y=3. If x=5.1, then y=3.55. If x=9.3, then y=5.65. For the second one, the equation (y=x*175) means that when x is 2 minutes, y is 350 meters, and when y is 1000 meters, x is about 5.7 minutes.

[@youngranLee0]

I have a math quiz with this in it… I didn’t get it until now😅

[@draganmilosevic4986]

Thank you very much! It was very usefull and interesting at the same time :) keep up the good work! Greetings from Serbia :)

[@leafyjohngacha7398]

Bs

[@arghawan]

LeafyJohn Gacha why are you replying to a comment that’s six years old

[@semisikaufusi2467]

clear and concise...great job.

[@MMKokoro]

Home boi got me through my home work 😭😭 thanks

[@kathryn8467]

this was very helpful!

[@mathwithmrbarnes]

+Kate D Thanks!

[@tahsinakabir2281]

This was very helpful..thnk u so much😊

[@fozsallam141]

I want to ask, what is the name of the program you used

[@musicmotions1739]

what about if ur trying to estimate x values with given y values instead?

[@mattdesmond1810]

Hey there, I'm sitting my Physics EMPA on Monday, where I may have to extrapolate a graph. But what if the line of best fit does not go through the origin? How would I find out values out of the scale to the left of the graph i.e. if the y intercept is negative?

[@SErictGaming]

Can your awnser be more accurate in another method or is this the most accurate way?

[@lenar7649]

Nice video...you helped me a lot :)

[@mathwithmrbarnes]

+Lena R Thanks! Keep up the hard work!

[@rajniarora12]

Which tool has been used in this video for demonstration?

[@blgoz783]

Blg Oz 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)

[@zion639]

thank you so much

[@pheasy7179]

Thanks very helpful. Pheasy

[@utactic]

Can I make y=mx+c linear formula?

[@eng.omareyadaljorani9954]

Thank you and what is the name of this program that you explained the lesson by it ? please

[@kathryn8467]

smart notebook

[@eng.omareyadaljorani9954]

Thank you

[@kathryn8467]

No problem

[@mathwithmrbarnes]

+Eng. Omar Smart Notebook...use it everyday in the classroom. I've had a lot of trouble with it on Mac. Works perfect on my classroom PC.

[@maleneklug-dambmann3676]

you are a god!

[@TheLeeleemarshall]

Good explanation! LOL how long did it take him to jog 2 minutes, I am glad you cleared that up!

[@ShahmeerKhanGamer]

Thank You SO MUCH!

[@omartaha1318]

How prove Pn(x) of newton equal Pn(x) of Lagrange

[@cheekub6772]

Thank u soo much u helped me alot

[@chillagma]

so what is the point of extrapolation? It seems that interpolation would be more accurate because it uses the data points you already have.The more complex the graph is... the more difficult it is to "predict" how to extend the graph. can you give an example where extrapolation is more efficient than interpolation?thanks

[@OoverHeaven]

Maybe if you had a graph that went from 2000-20xx which showed the amount of $/£ spent on average a year and they ask you to predict how much will be spent on average over the years 20xx +1/ 20xx+2/etc. Of course doing this implies that the trend stays the same so it is seen as inaccurate.

[@chillagma]

oh...I see.Interpolation would be used for the data that you do have to make an accurate assessment and extrapolation would be needed for future predictions but it would create inaccuracies because you have to assume that the trend is consistent..

[@debajyotidebnath5827]

Nice explanation

[@benhamlin2208]

Hi the second question is not correct because it should say “how far did Jeff jog in 2 minutes”. You get the same answer but this could confuse some people so I thought I would mention this in the comments.

[@zahl6518]

Insert teacher who said to watch video under: Mrs Russell

[@panoskonstantakis4187]

Mr Tetreault

[@tamalsaha8837]

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

[@shanhuko3822]

omg I love u why can't you be my teacher

[@Helen88Pang]

Thanks, it is a great help :)

[@KiDs-eb1gu]

I think... I love.... Your massive...Equations.

[@py_jac]

Thanks man!

[@nolankarat5169]

Are you from Newfoundland?? Cause you sure sound like it

[@byFeeedz]

thanks so much

[@TM-mu9xo]

Thank you!!

[@noahrodriguez8107]

7 years later

[@aaronhung4719]

Thanks!

[@faisal22naveed]

thank you

[@daudimgogo5140]

I do like it

[@puma_meow]

Thanks bro

[@oskarj3352]

thanks boss

[@corplo33]

has heho trampas

[@corplo33]

Bro no entiendo

[@jesushernandez-eo8fq]

Find the answer by computation or slope formula!!!... don't just draw the line, that ain't gonna help on an actual test, it wont be that simple

[@AllFather_1]

*me* came here to find something useful **cough cough* equation **cough cough** *also me* *found nothing*

[@gavinvdm]

This is just guesswork. There are actual techniques for finding exact values.

[@ItsSkyrim]

inter- Pol lation

[@princehunter6388]

no

[@Loki00077]

Suiiiiii

[@bobertstevens974]

Chem H lol.

[@crookeypizza1315]

You need a dog or a gf

[@mathwithmrbarnes]

+Crookeypizza13 Lol...I have a wife and a baby. I'll pass on the dog.

[@jyuen1]

terrible

[@athens1005]

Thanks for the help! :D

[@mathwithmrbarnes]

+Moostache S. You are welcome!

[@BigBangLuv3r]

thank you so much