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The Correlation Coefficient - Explained in Three Steps 

Benedict
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The correlation coefficient is a really popular way of summarizing a scatter plot into a single number between -1 and 1. In this video, I'm giving an intuition how the correlation coefficient does this, without going into formulas. If you need to calculate the correlation coefficient for some data, you can find the formula here: en.wikipedia.o...
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.(creativecommons...)

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1 окт 2024

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Комментарии : 426   
@andrewbleakley4202
@andrewbleakley4202 8 лет назад
One semesters worth of explaining learned in 7 minutes. THANK YOU!!!
@UltraGang
@UltraGang 8 лет назад
wow they taught you that for one semester? we did this in a week and had a quiz and that's it e.e
@UltraGang
@UltraGang 8 лет назад
what grade are you in by the way...
@hectormontes3791
@hectormontes3791 6 лет назад
Cracked Code same
@canaantamaki4575
@canaantamaki4575 4 года назад
nu
@zubairqureshi7541
@zubairqureshi7541 4 года назад
What's your course? Stats or econ
@ashdos7205
@ashdos7205 4 года назад
Thank You, My exams are next week, at home cuz of this corona virus. Who is like me
@abhinavivaturi3387
@abhinavivaturi3387 4 года назад
meeeeeeee
@kristinamalinovska9678
@kristinamalinovska9678 9 лет назад
Great! I want to encorage you to continue working!!! You are doing so good!!! Your method is very illustrative and so helpfull!
@bonniegeorge7360
@bonniegeorge7360 7 лет назад
...if only all math instructors could be as visual and simplify the narrative! Thank you for this publication. It seems to have had a great affect on many students!
@iantek3756
@iantek3756 4 года назад
When you realize channel stopped uploading videos 5 years ago
@sielyn4297
@sielyn4297 3 года назад
i wonder why he stopped
@nayynay8940
@nayynay8940 6 лет назад
Everything is just so cute!!! Haha ii wish my life was this organized 😂 Great video ! Really helped me out! 🍒 Thanks !
@abrokenplate7464
@abrokenplate7464 5 лет назад
Thank you! I have no mathematics background, and just needed a basic understanding of this to make sense of a point I was reading in a journal article. I read so many complicated descriptions and was starting to feel like a total dunce who just couldn't get it. This was such a clear, quick explanation.
@dkk75
@dkk75 4 года назад
Phenomenal that you're using markers and paper over digital tools. What an absolute beast you are. Excellent video.
@ashdos7205
@ashdos7205 4 года назад
Daniel Kirchheiner I know right!, other people would just use a mouse on a computer and confuse the shit out of u.
@michellewilcox8769
@michellewilcox8769 3 года назад
This interactive illustration was excellent! On behalf of us kinesthetic learners, thank you so very much!
@karltorento3358
@karltorento3358 3 года назад
7 years after and it’s still the best explanation of coefficient correlation ‘r’ on RU-vid. Thanks!
@d4merons147
@d4merons147 3 года назад
literally saved me from having a breakdown over math tysm
@robertmartinez7938
@robertmartinez7938 8 лет назад
Brilliant! Explained Simply and intuitively... Keep creating QUALITY content!
@reelduofilms6035
@reelduofilms6035 10 лет назад
You deserve more subs...this is great. Made and explained well :) Thank you.
@MrWinnieP
@MrWinnieP 5 лет назад
You are an amazing lecturer. I hope you pursue more of these or a career in teaching !
@barbs19788
@barbs19788 9 лет назад
my brain hurts
@truthseeker208
@truthseeker208 9 лет назад
Very helpful explanation. Love the visuals!
@diyyinah
@diyyinah 9 лет назад
Thank you so much! This is really great. It makes sense to me now. :)
@mgtv3622
@mgtv3622 8 лет назад
my thoughts throughout the video: awesome!, yay! ahahah! Good job, im sure many people have already praised you
@bleu27
@bleu27 5 лет назад
Thanks for the video. Could you please elaborate more on "scatter along y-axis" and "scatter around fitted line"? I could only manage to have a round guess of what you meant by them.
@bleu27
@bleu27 5 лет назад
and my guess is, by "scatter along y-axis", you were referring to how far away are those dots from y-axis. And by "scatter around fitted line", you meant the difference between the predicted and actual y value of those dots.
@zacknichols8013
@zacknichols8013 5 лет назад
Subscribed when I saw your face.. but seriously, great video!
@amber.dominique
@amber.dominique 9 лет назад
i have my mathematics final tomorrow and this really helped me because i have been really struggling with this lesson and this video was very beneficial. thanks you !!!
@soniababu7193
@soniababu7193 5 лет назад
you are amazing. thank you so very much for this simple easy to understand explanation!!
@andy_182
@andy_182 4 года назад
didnt understand a fucking thing, im just gonna drop out and become a mail man at this point. great benefits
@nathanthemeganerd3832
@nathanthemeganerd3832 3 года назад
This helped me with my correlation science project, thank you!
@dylan.boyer_152
@dylan.boyer_152 4 года назад
Howd you know exactly what the correlation coefficient was
@slowfoods6018
@slowfoods6018 4 года назад
D Boy, he calculated it before the video either with an equation or technology, this allowed him to show how close they actually are to 0
@TheLilmuzzy
@TheLilmuzzy 6 лет назад
Great video man, thanks for taking the time to make this, really appreciate the effort and helping us follow you along!
@renwickery407
@renwickery407 5 лет назад
Story time: I have a slightly compromised active memory and that means I have trouble migrating concepts from my active memory to my short term memory. Normally this presents very little problem for me. But numbers for whatever reason are the worst. The way you broken this down into manageable parts and clearly and visually explained everything made my life so much easier. I wish all my math professors broke stuff down like you did!
@benjamintheisen8057
@benjamintheisen8057 8 лет назад
Genius presentation. Congratulations on this video.
@moonwalkermijan
@moonwalkermijan 7 лет назад
I'm now subscribed 🙌🏽 great work, sir. Looking forward to more content from yourself
@gileshawthorn6099
@gileshawthorn6099 10 лет назад
Excellent demonstration. Brief, simple, and visual.
@wannabe1me927
@wannabe1me927 4 года назад
Bruh...I joined AP Psychology...it’s hella stressful😭
@DrGovindakbari
@DrGovindakbari 7 лет назад
Great explanation ! It's almost perfect. WELL, U CAN ANIMATE AXIS AND DATA RELATIONSHIPS AND MAKE IT STILL MORE SHORTER AND BETTER GRASPING.
@ashlynmurrell7728
@ashlynmurrell7728 8 лет назад
can you please make more english videos? this was extremely helpful!
@a.furtado8991
@a.furtado8991 7 лет назад
Extremely helpful and explained in simplest terms. Thank you!
@jior6
@jior6 9 лет назад
What writing utensils are you using lol? They look so clean.
@benedictkt
@benedictkt 9 лет назад
Ha! Errrm, a mix of felt pens that I had flying around at home... mostly Stabilo? Sorry, I'm not being helpful here!
@krisly7451
@krisly7451 9 лет назад
jior6 They are Black Stabilo point 88. The tip is about a 2-3mm it looks like.
@carterguri4196
@carterguri4196 2 года назад
Thank you man. This video has really helped me in understanding coefficient correlation basics in fundamentals of meteorology. There's a lot of coefficient correlation calculations in meteorology and one of them is anomaly coefficient correlation. It is used in producing long range forecasts or climatological forecasts. It would be really helpful if you could also make a short and comprehensive video for anomaly coefficient correlation as an example for coefficient correlation! Thanks
@vizuren
@vizuren Год назад
Omg!! Thank you so much!!!
@shannon5209
@shannon5209 8 лет назад
Basically, is this explaining what the Pearson's test shows? Thank you so much for this!
@rainbowequine
@rainbowequine 7 лет назад
This was so useful THANK YOU kind human! #muchthank #sohelp #wow
@hidinginthecommentsss
@hidinginthecommentsss 4 года назад
I felt like was watching an episode of Dora the explorer picking out the best and worst coefficients 😂 it helped me though, so thank you 😊
@subhechchabanerjee3421
@subhechchabanerjee3421 4 года назад
This was amazing! Thank you! Please post more such interesting and educational videos :)
@xxxOlaBabezxxx
@xxxOlaBabezxxx 8 лет назад
Omg, this was amazing. The only non-monotone video on youtube for stats
@40LKY
@40LKY 8 лет назад
This still makes no sense. I haven't the foggiest idea as to where you got your values.
@bkhundred3666
@bkhundred3666 7 лет назад
Remember r = (n(Σxy) - (Σx)(Σy)) ÷ √((n(Σx²) - (Σx)²)(n(Σy²) - (Σy)²)) If you need me to help explain this I would be happy to.
@alinavaysfligel7249
@alinavaysfligel7249 6 лет назад
those values were just used as examples, not necessarily the true calculations for the graphs he was showing. basically the closer the correlation coefficient (r) is to the number +/-1, the stronger the correlation of the variables. if (r) is less than +/-0.3, it means there is a weak correlation. if (r) is somewhere between +/-0.3 and +/-0.5, it means there is a moderate correlation. if (r) is greater than +/-0.5, it means there is a strong correlation. so if your correlation coefficient (r) is +0.92, then you have a STRONG POSITIVE correlation. if your (r) is -0.49, then you have a MODERATE NEGATIVE correlation. i hope that helps some. i'm just learning this too.
@AllPro777
@AllPro777 6 лет назад
*those values were just used as examples* Then that should've been explained with more emphasis. So basically, the only useful part of the video is explaining the slopes. I have a graph with no numbers, so this doesn't help at all.
@dianabeltranchavarria7354
@dianabeltranchavarria7354 6 лет назад
Me too ;-;
@DWR447
@DWR447 9 лет назад
I don't know if you've seen them or not, but this reminds me of Stuart Hunter's Princeton lectures from the 1960s (ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-NoVlRAq0Uxs.html for the first one). I loved those too.
@BillBeaMaddux
@BillBeaMaddux 9 лет назад
THANK you for posting this!!! Super helpful!!
@thekirstiejames
@thekirstiejames 9 лет назад
How did I only just find you. This is so helpful. Thank you.
@samkurosaki9151
@samkurosaki9151 5 лет назад
T’is indeed a very well-elaborated video!
@MsNoe95
@MsNoe95 9 лет назад
Thanks for the video , very helpful for my upcoming exam :)
@titaniumsias
@titaniumsias 7 лет назад
Unglaublich Benedict, ich bin froh wenn ich's auf deutsch verstehe >.< Ziehe meinen Hut vor deinem Wissen und dass du es kostenlos zur Verfügung stellst mit diesen mega guten anschaulichen Erklärungen! Vielen Dank! Hoffe du wirst/bist Professor an einer Uni und erklärst das so gut den Studis 😊 Das wäre verschwendetes Potential wenn du in i.einem Büro sitzt 😄
@gurtletirl
@gurtletirl 6 лет назад
Ich stimme sehr zu!
@소금빵-m6m
@소금빵-m6m 9 лет назад
what a wonderful explanation!. Thank you so much
@tamaanshire9989
@tamaanshire9989 Год назад
A worthy teacher ❤
@suhadandis9383
@suhadandis9383 7 лет назад
I enjoyed your lesson . High class Thank you
@melaniewielicka7860
@melaniewielicka7860 7 лет назад
This was honestly fantastic, thank you so much!
@musicalwanderings7380
@musicalwanderings7380 3 года назад
Correlation coefficient is the cosine angle between two mean-centred vectors. That's another way to look at it and also explains why it is between -1 and +1 Cosine angle between 2 vectors is given by dot product divided by product of their magnitudes. It's simple to work out (x-mux).(y-muy)/Norm(x-mux)*Norm(y-muy) Where x-mux is mean centered X And Y-muy is mean centered Y That's it...
@santaclaus3271
@santaclaus3271 5 лет назад
WOW, thank you!! So clear and easy to follow!
@vreige1162
@vreige1162 7 лет назад
this is so well explained, thank you very much!
@RajVaswaniRox
@RajVaswaniRox 4 года назад
Never thought it was so simple, thank your simplifying it and presenting it out in an intuitive manner, loved it.
@Mr.Jasaw13
@Mr.Jasaw13 8 лет назад
thank u so much.. if only u could add more live.. realistic example to it .. that would be great
@beckwilde
@beckwilde 6 лет назад
this is awesome because im a visual learner. thanks, benedict. great video.
@carolelder4646
@carolelder4646 3 года назад
I'm writing on behalf of TVO and its distant learning arm, the ILC (www.ilc.org), to obtain permission to use your video “The Correlation Coefficient - Explained in Three Steps,” for educational purposes. Please contact celder@tvo.org for more information.
@carolelder4646
@carolelder4646 3 года назад
I’m writing on behalf of TVO and its distant learning arm, the ILC (www.ilc.org), to obtain permission to use your video “The Correlation Coefficient - Explained in Three Steps,” for educational purposes. Please contact celder@tvo.org for more information.
@alex9949
@alex9949 9 лет назад
This is a great video and the theory of it is great, but where do you pull the numbers from? Like 0.56 is that just an estimate or is there a way of working it out exactly?
@benedictkt
@benedictkt 9 лет назад
You can definitely work it out exactly - I just wanted to explain the principle that underlies the numbers. There are several ways to calculate the correlation coefficient, which all lead to the same result. For the most common formula, have a look here: en.wikipedia.org/wiki/Pearson_product-moment_correlation_coefficient#For_a_sample
@bubkabu
@bubkabu 7 лет назад
Hey, how do you find out about non-linear correlation? if for example from movielengths above 2 hours the ratings fell down again, you would have a curved line. how do you analyze these types of data? thank you
@sediqkhan8353
@sediqkhan8353 5 лет назад
This is an artistic way of teaching :). Thank you
@captainmarvel3795
@captainmarvel3795 3 месяца назад
I need to know how to CALCULATE the coefficient number, not just how to read correlation graphs... Not helpful.
@LaxmikantRamakrishna
@LaxmikantRamakrishna 6 лет назад
Super explained one needs to do this much of preparations to explain in the concept....! Good professor ... nice video expecting much more ideas like this...!( though this is not my study of subject but understood nice...!) impressive
@therabbithat
@therabbithat 6 лет назад
What about significance.. .001 significance means...? I
@xtinazilla313
@xtinazilla313 9 лет назад
Ahahaha at 4:08! I needed that joke. Thank you so much!
@whotube88
@whotube88 8 лет назад
+Christina Saunders Paused the video and came down to see someone noticing it. Thanks. :D
@drewabeyy
@drewabeyy 6 лет назад
Christina Saunders iii
@vijaykalla
@vijaykalla 8 лет назад
awesome demonstration...... I have understood Correlation? Can u explain how can we understand a data using all the statistical calculations like, Standard deviation, mean, median, mode, variance??? Thanks for the help in advance
@EtoileBrilliant
@EtoileBrilliant 3 года назад
Really good for revising with my son. Should the distance between any point and the line be the 'vertical' or 'perpendicular' distance - asking for a friend?
@HDcresent
@HDcresent 2 года назад
i love you
@samunera
@samunera 8 лет назад
Love it! Amazing way of explaining this! You make my day :D
@almatkenen4743
@almatkenen4743 2 года назад
Great video Benedict! The explanation could also be improved by showing what scatter means in numbers or formulas.
@bidybidybu
@bidybidybu 8 лет назад
Thanks for the video... and what is multiple correlation? I got an android app called correlator which also calculates multiple correlations but I don't know how to interpret them if I want to find out which factors are more correlated... Can you make a video to explain this?
@michaelobrecht
@michaelobrecht 2 года назад
Fabulous! Now I will try to find out how the formula "draws" the regression line. Thanks for an amazing vid!
@SolidStructureWC
@SolidStructureWC 8 лет назад
Holy...Someone who sounds human while explaining this shit. Is there a video for perason-r?
@kod3619
@kod3619 6 лет назад
Where is he getting 0.81 and 0.95 from?
@zendyrwrathgarron5135
@zendyrwrathgarron5135 Год назад
what?
@Bittoo25b
@Bittoo25b 2 года назад
Damn
@alinavaysfligel7249
@alinavaysfligel7249 6 лет назад
yay! very good work!! so correlate, much coefficient! makes much sense to me now :-)
@runpinghuang9259
@runpinghuang9259 4 года назад
I'm getting confused for the 3rd points.Could someone explain what does it mean the scatter around the fitted line. In other word, what is the value we are comparing for the scatter around fitted line? Is it the distance between the actual point and the point on that green line? If it is the case, how could you tell they are the same in the video 4:53 ?
@moodx2s217
@moodx2s217 7 месяцев назад
I have watched meny videos to understand this without any understanding , but now I understand. Thank you Thank you Thank you
@gelilawitasefa6247
@gelilawitasefa6247 2 года назад
Brilliantly explained. Be able to do that is a super talent! Thank you Subscribed!
@ryanwiggs594
@ryanwiggs594 2 года назад
And what about the example where the slope of the line of regression is level, and the deviation from the line in the data is small. Should this not amount to strong evidence that the two elements do not correlate? How would this be represented numerically?
@jenniferl6212
@jenniferl6212 9 лет назад
cute! thanks
@bonniedavidson2834
@bonniedavidson2834 3 года назад
Thanks so much for this video! It was extremley helpful.
@eilenkatarinalunde2969
@eilenkatarinalunde2969 2 года назад
Wow. I really appreciate this - finally I get it!! Thank you! 💛
@praveendubey9600
@praveendubey9600 6 лет назад
Nice one, but point #3 can also be called a the loss function with dataset or the data with minimum value of root mean square error as an example ...isnt it ?
@minoovahedi9122
@minoovahedi9122 2 года назад
I was just looking at your hands😍. Couldn't understand anything.😂
@LiaLopez87
@LiaLopez87 3 года назад
Minute 4:08 made my day with all the cute signs..brilliantly explained! thank you
@ShinyShoesTech
@ShinyShoesTech 5 лет назад
I'm sure you've moved on since this was done but thanks! So clear and i now understand where correlation matrix comes from!
@drsugatonandan
@drsugatonandan 6 лет назад
It was very easy to understand and very innovative statistricks. Thank you
@sadiqahmed8484
@sadiqahmed8484 4 года назад
Simply amazing .... Yours explaining technique is very creative and wonderful.....Thank you so much...keep bringing more videos
@ichigo1208
@ichigo1208 8 лет назад
thank you very much ben ben benny ben i have been having a terrible time with this and even though im having a tough time solving for r this help me understand what im doing i really cant thank you enough
@MrRBSang
@MrRBSang 8 лет назад
Great Video, thanks bud very good explanation
@zomavaldes425
@zomavaldes425 4 года назад
THANK YOU!!! Please keep the good work!! Simple, illustrative... and direct! THANK YOU!!!!!
@abdulmajidkhan5351
@abdulmajidkhan5351 4 года назад
wonderful explaination , simply the best .
@slayerq3
@slayerq3 5 лет назад
Why don't you consider the shortest distance between the fitted line and the points? Is there any special reason to consider the vertical distance only?
@SulockMath
@SulockMath 6 лет назад
Awesome video. Great work Benedict!
@matthewocean1988
@matthewocean1988 5 лет назад
Okay, but where are you pulling the .95 from?
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