Machine Learning Fundamentals: The Confusion Matrix

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  • เผยแพร่เมื่อ 22 ธ.ค. 2024

ความคิดเห็น • 687

  • @statquest
    @statquest  2 ปีที่แล้ว +18

    Support StatQuest by buying my book The StatQuest Illustrated Guide to Machine Learning or a Study Guide or Merch!!! statquest.org/statquest-store/

  • @TheBluesFlame
    @TheBluesFlame 5 ปีที่แล้ว +167

    Understood the concept within 2 mins, something my professor was not able to achieve in a three hour lecture, and this video is free to watch. Thank you for the informative and extremely helpful video!

    • @statquest
      @statquest  5 ปีที่แล้ว +7

      Awesome! :)

    • @ravimishra8564
      @ravimishra8564 2 ปีที่แล้ว +2

      Lol

    • @tsunamio7750
      @tsunamio7750 2 ปีที่แล้ว +6

      This is the magic of TH-cam. Shorter videos are often more information-dense and have "less noise" -> Less text = less things that you will mistakenly focus on instead of the true Banger concept.
      Teachers spend 30s explaining what we will learn. Everybody misses this part and are confused for th rest of the course. Here, we have a full 2-5min explanation of what we are talking about, then we delve in the subject.

    • @LeSandWhich
      @LeSandWhich 2 ปีที่แล้ว

      MERICA BABY!!!

    • @godspowerchukwuma2248
      @godspowerchukwuma2248 ปีที่แล้ว +2

      This is me watching this 5 years after graduating from higher institution and I am understanding it completely for the first time....school was truly annoying, they made even the simplest things feel so complicated and hard to understand

  • @katwoods8514
    @katwoods8514 3 ปีที่แล้ว +5

    I realize you should know: half of the time I like your videos, it's not because of the teaching. It's just me loving your songs and how you whisper excitedly "StatQuest!" at the beginning. It's the best!

  • @gyulboxing
    @gyulboxing 2 ปีที่แล้ว +34

    If my software venture succeeds, then I hugely owe it to you. Your pedagogical approach in the topic will benefit many individuals/teams like me. Thank you, sir!

  • @venkydk
    @venkydk 3 ปีที่แล้ว +15

    The Intro song gives a great relief for us to get rid of confusion...

  • @thehermitthetower1126
    @thehermitthetower1126 3 ปีที่แล้ว +33

    I'm now double certified in data science, and singly so in digital forensics. I began with stat quest, and I keep using it for refreshers if I have a meeting or interview.
    Here I am, prepping for possible interview questions that come up a lot.

    • @statquest
      @statquest  3 ปีที่แล้ว +1

      Good luck with your interview! :)

    • @taheralipatrawala7300
      @taheralipatrawala7300 2 ปีที่แล้ว

      By double certified you mean dual degree?

    • @thehermitthetower1126
      @thehermitthetower1126 2 ปีที่แล้ว +2

      @@taheralipatrawala7300 no, i was in a coding boot camp but they kept dropping the ball so i was stuck waiting for long periods of time while they fixed mistakes and put the curriculum on hold so i enrolled in another course and they both ended up finishing around the same time.
      Then i enrolled in something else after, all the while i have a growing project portfolio full of cool projects people like discussing, which is pretty big if you are good at the interview stage.
      Tech is an interesting field in this respect:
      experience and education are both good, but both is great.

    • @braulioandre2918
      @braulioandre2918 2 ปีที่แล้ว +2

      What are sort of questions come up a lot during interviews for a data science role?

  • @alexandrebernat1405
    @alexandrebernat1405 4 ปีที่แล้ว +14

    Had to sign up as a member of StatQuest and support your initiative. Thank you so much for making all this content available. Greetings from Brazil, Josh!

    • @statquest
      @statquest  4 ปีที่แล้ว +1

      Muito obrigado!!! Thank you very much for your support. It means a lot to me.

  • @harkirehal258
    @harkirehal258 7 หลายเดือนก่อน +3

    Came across Statquest after almost giving up on learning ML. Things are starting to make sense and are fun now! Amazing channel with amazing explanations!

    • @statquest
      @statquest  7 หลายเดือนก่อน

      Great to hear!

  • @thepraisejames
    @thepraisejames 5 หลายเดือนก่อน +1

    This is the best video on confusion matrix I have watched. Once again, analogies and storytelling to the rescue

    • @statquest
      @statquest  5 หลายเดือนก่อน

      Thanks!

  • @JingwenZhou
    @JingwenZhou 4 ปีที่แล้ว +27

    You made me start loving maching learning and statistics, thank you!

    • @statquest
      @statquest  4 ปีที่แล้ว +1

      Hooray! :)

  • @mostinho7
    @mostinho7 4 ปีที่แล้ว +14

    1:30 To test how each machine learning model performs with our test data, we can use a confusion matrix.
    Let’s say we have two outcomes from our classification model, either true or false, then the rows can be the predicted values for our model (true and false) and the columns can be the actual truth results of our data (true and false)
    Data points can be classified by our model as true positive (both predicted and actual are true) or false positive (predicted is true but actual is false) or false negative (predicted is false but output is true) or true negative (predicted is false and actual is false)
    4:30 using confusion matrix to compare random forest and logistic regression.
    5:15 confusion matrix for multiple class classification, the diagonal represents number of true positives

  • @f.s.8443
    @f.s.8443 2 ปีที่แล้ว +3

    Thank you so much! You explained in 8 minutes what my Data Science Professor took forever to explain. It was so clear and concise.

    • @statquest
      @statquest  2 ปีที่แล้ว +1

      Glad it was helpful!

  • @read89simo
    @read89simo 6 ปีที่แล้ว +525

    the Confusion matrix is not so confusing anymore

    • @statquest
      @statquest  6 ปีที่แล้ว +22

      Nice! :)

    • @thud93factory51
      @thud93factory51 5 ปีที่แล้ว +3

      I see what you did there

    • @yv6358
      @yv6358 3 ปีที่แล้ว +5

      @@thud93factory51 Everyone can see what he did there.

    • @Dineshkumar-bf7wi
      @Dineshkumar-bf7wi 2 ปีที่แล้ว

      😂😂😂😂

  • @ronyroy2049
    @ronyroy2049 5 ปีที่แล้ว +155

    I keep coming back for the BAAAMMMM !!!

    • @statquest
      @statquest  5 ปีที่แล้ว +5

      Hooray! :)

  • @SoftwareTICs
    @SoftwareTICs 3 ปีที่แล้ว +3

    I needed to understand confusion matrix as soon as possible. I learned in less than 10 minutes... great!

  • @hendsaud134
    @hendsaud134 3 ปีที่แล้ว +5

    I was miserable but you boosted my mood, the intro is on point, BAM!

  • @TheMediinaa
    @TheMediinaa 2 ปีที่แล้ว +5

    Very nice, I'm dealing with the Kuzushiji-49 dataset, and so I have a 49x49 confusion matrix. Helped clear things out a lot!

  • @pablouribe1522
    @pablouribe1522 2 ปีที่แล้ว +5

    I really liked how you mixed the sentiments in the bams, depending on the results! Great videos!

    • @statquest
      @statquest  2 ปีที่แล้ว

      Thank you! :)

  • @josevaldes7493
    @josevaldes7493 2 ปีที่แล้ว +3

    Thank! I speak spanish and I'm learning english. Your videos are amazing and I'll tried to make videos of statistics in spanish. You are an inspiration to me thanks soo much

  • @shinyskystar
    @shinyskystar ปีที่แล้ว +1

    Statquest is here to explain things very well, leaving me worry-free. Thank you, Mosh, for being here.

  • @jessstuart7495
    @jessstuart7495 5 ปีที่แล้ว +49

    False Positive - Type 1 Error - Reject a true null-hypothesis.
    False Negative - Type 2 Error - Fail to reject a false null-hypothesis.

  • @unpatel1
    @unpatel1 2 ปีที่แล้ว +5

    Confusion Matrix is really confusing but you clearly explained it! Great job, Josh!! Thank you.

    • @statquest
      @statquest  2 ปีที่แล้ว

      Glad it was helpful!

  • @vivekakaviv
    @vivekakaviv 5 ปีที่แล้ว +51

    "In this case the machine learning algorithm didn't do very well, but can you blame it?, These are all Terrible movies!!... BAM" I laughed like hell. Love StatQuest.

  • @agentanakin9889
    @agentanakin9889 5 ปีที่แล้ว +3

    A Harvard course introduced the confusion matrix to me and it was thoroughly confusing. You explained it within the first 2 minutes of this video.

    • @statquest
      @statquest  5 ปีที่แล้ว +1

      Awesome! :)

  • @lck2978
    @lck2978 ปีที่แล้ว +1

    Wow very straight forward and clear to understand! I really appreciate the table of contents and bookmarks you've laid out as well. Even for just a short video!
    There is so much, even too much, information out there on various topics. And too many people just give a talk, pouring out their expertise without considering how fast they're going, where their audience is coming from.
    I felt that wasn't as much the case here. Great job!

  • @jaiganeshjayaraman
    @jaiganeshjayaraman ปีที่แล้ว +1

    Mind Blowing Explanation !! Even a primary school kid could understand these concepts. Take a bow, Josh !!!

  • @arunavabhattacharya571
    @arunavabhattacharya571 4 ปีที่แล้ว +1

    I rewatched the bootcamp recording which explained confusion matrix for 20 minutes and was still left confused until statquest came in an explained the concept in less than 7 minutes. BAM !!!

  • @mahbleh404
    @mahbleh404 10 หลายเดือนก่อน +1

    5 years old videos and still super useful and one of the best playlist. thank u for the videos

    • @statquest
      @statquest  10 หลายเดือนก่อน

      Thanks!

  • @blessinglotus
    @blessinglotus 4 ปีที่แล้ว +2

    Thank you for explaining the Confusion Matrix! This is super helpful. I keep coming back for more of your videos! THANK YOU.

    • @statquest
      @statquest  4 ปีที่แล้ว +1

      Glad it was helpful!

    • @whomisac4616
      @whomisac4616 2 ปีที่แล้ว

      I come back for the BAM.

  • @yangwang6805
    @yangwang6805 6 ปีที่แล้ว +25

    Very clearly explained, thank you! As good as always!

    • @statquest
      @statquest  6 ปีที่แล้ว +1

      Hooray! :)

  • @vijaikannan3143
    @vijaikannan3143 ปีที่แล้ว +1

    WOW .... Beautiful Explanation in a simple and Understandable way with diagrams... Thanks a lot. Helped me a lot to understand in a crystal clear way.

  • @thechesslobster2768
    @thechesslobster2768 4 ปีที่แล้ว +1

    I just want to say thank you so much man, i've been sucking ass in my machine learning class, and you've helped me out so much, I love how you explain things.

    • @statquest
      @statquest  4 ปีที่แล้ว

      Thank you! Good luck with your class.

  • @londonstudioliving
    @londonstudioliving 3 ปีที่แล้ว +1

    Suffering on my CS DEGREE. You are a saviour thanks! totally made this topic clear for me

    • @statquest
      @statquest  3 ปีที่แล้ว

      I'm glad my videos are helpful.

  • @achus76
    @achus76 3 ปีที่แล้ว +4

    your videos are so enjoyable, makes it a joy to learn the stuff...esp the BAM :)

    • @statquest
      @statquest  3 ปีที่แล้ว

      Glad you like them!

  • @cajogos
    @cajogos 5 ปีที่แล้ว +3

    Woah, this whole confusion matrix finally made sense in my head, only took 6mins! I watch at 1.25x speed ;) gotta learn fast! Thanks a lot Josh, subscribed!

    • @statquest
      @statquest  5 ปีที่แล้ว +1

      Hooray! I'm glad the video was helpful. :)

  • @blessingadeyemi1289
    @blessingadeyemi1289 2 ปีที่แล้ว +1

    I was drawn from the get go. The concepts were clearly explained and it was a good watch.

  • @lawrencetaulk7898
    @lawrencetaulk7898 3 ปีที่แล้ว +2

    you made me so clear with Confusion Matrix. Great job, BAM .

    • @statquest
      @statquest  3 ปีที่แล้ว

      Glad it was helpful!

  • @NastyMonke
    @NastyMonke ปีที่แล้ว +1

    I have no idea how such a beautiful content have so low views and subscribers. Josh, you da best my man ❤

  • @Test-vj4ee
    @Test-vj4ee ปีที่แล้ว +1

    ¡Gracias!

    • @statquest
      @statquest  ปีที่แล้ว

      De nada!!! Thank you for supporting StatQuest!!! TRIPLE BAM! :)

  • @KIMNEG
    @KIMNEG 3 ปีที่แล้ว +1

    Unconfused way of explaining the Confusion Matrix. Thanks !!!

  • @wanderingseeker2932
    @wanderingseeker2932 3 ปีที่แล้ว +1

    Guy just simplified "THEEE CONNFFUSION MAATTRIXX" (reverberating sound)
    Thanks Josh :)

  • @akashdeep5088
    @akashdeep5088 ปีที่แล้ว +1

    Sir, I am from India , I was enrolled in a Data Science programme which costed me 45k the python and SQL courses were nice but then also I had to put a lot of effort mastering it , but the ML classes was not at all good, currently my class is going on ML when I am writing this comment but I am not attending it and rather watching your video , I don't want to waste my time there just to satisfy myself that I have paid a huge amount of money rather I want to utilise my time into the video where I can really understand something.
    Lastly I want to thank you for providing such awesome content , currently I am not working so I have some limitation for spending money, but when I will get a job in data Science and ML I will surely contribute to this channel ."Thank You Again ....."
    Love from INDIA . " Jai Shree RAM "

    • @statquest
      @statquest  ปีที่แล้ว

      Thank you and good luck with your course! BAM! :)

    • @PSTWFB
      @PSTWFB ปีที่แล้ว

      #confusion#matrix#machinelearning#deep#precision#recall F1 #score#accuracy#true#positive #negative!
      th-cam.com/video/YlFgsaxagX0/w-d-xo.html

  • @etornamtsyawo6407
    @etornamtsyawo6407 2 ปีที่แล้ว +1

    I didn't sweat it at all! I just moved to youtube and searched: Statquest confusion matrix 😀😀😀

    • @statquest
      @statquest  2 ปีที่แล้ว +1

      TRIPLE BAM! :)

  • @samarthtandale9121
    @samarthtandale9121 ปีที่แล้ว +3

    Awesome and Easy Explanation !!!

  • @yudhisthirsingh8401
    @yudhisthirsingh8401 4 ปีที่แล้ว

    The matrix returned by the sklearn's confusion_matrix is in opposite order. Just wanted to point it if someone is thinking, got me confused for a little while.
    Great explanation Josh!

    • @statquest
      @statquest  4 ปีที่แล้ว +1

      Yep, I originally based this on a confusion matrix that I got from R. Different APIs give different orientations.

  • @fedriknefario
    @fedriknefario 3 ปีที่แล้ว +4

    hey this is my first time watching your video, and thank you for your explanations about confusion matrix i like it.
    i'm still student

    • @statquest
      @statquest  3 ปีที่แล้ว

      Glad it was helpful!

  • @tsunamio7750
    @tsunamio7750 2 ปีที่แล้ว +1

    My terrible joke apart, your explanations are wonderful. I can't thank you enough!
    Done once, forever and for everyone. Who knows, your name might survive the corroding waves of history. A little something often takes unexpected proportions, even long after the author is gone.

  • @BMSKARATE
    @BMSKARATE 3 ปีที่แล้ว +1

    Me: learning ML and trying decision trees. YOU: explaining exactly what I'm doing step by step in 1 video.

  • @gabrielkalb
    @gabrielkalb ปีที่แล้ว +1

    this series of videos are just amazing, thank u so much

  • @Redox_Adi
    @Redox_Adi 11 หลายเดือนก่อน +1

    Thanks for helping me to get out of this problem,as today is my Artificial intelligence exam,love from India.

    • @statquest
      @statquest  11 หลายเดือนก่อน

      Good luck! :)

  • @nossonweissman
    @nossonweissman 2 ปีที่แล้ว +1

    Your content is so beautiful, it makes me want to cry

    • @statquest
      @statquest  2 ปีที่แล้ว +1

      Thank you!

  • @DataScienceAI-rf4kx
    @DataScienceAI-rf4kx 11 หลายเดือนก่อน +1

    revise the concepts ! hooray ! tiny bam , big bam!! love you joshu

    • @statquest
      @statquest  11 หลายเดือนก่อน +1

      :)

  • @AlphaVijayan
    @AlphaVijayan 2 ปีที่แล้ว +1

    Its very clear and easy to understand. God bless you sir

  • @vishalrai2859
    @vishalrai2859 3 ปีที่แล้ว +1

    you are a great teacher no can match your standard at least on youtube

    • @statquest
      @statquest  3 ปีที่แล้ว

      Thank you very much! :)

  • @SinarJourney
    @SinarJourney ปีที่แล้ว +1

    Gotta smash that like and subscribe button, this channel is golden.

  • @cruzmonte4614
    @cruzmonte4614 ปีที่แล้ว +1

    Best channel, duly explained

  • @asifdotpy
    @asifdotpy 5 ปีที่แล้ว +1

    OMG!!! You explain each and everything very explicitly.. Thanks buddy. I Subscribed...

    • @statquest
      @statquest  5 ปีที่แล้ว +1

      Hooray! Thank you! :)

  • @ceciliaserafini
    @ceciliaserafini 6 ปีที่แล้ว +2

    BAM!!! Thank you! Original and clear explanation!

    • @statquest
      @statquest  6 ปีที่แล้ว

      Hooray! You're welcome. :)

  • @quangminh6281
    @quangminh6281 4 ปีที่แล้ว +1

    This video saved my life. Thank you so much

  • @shivamsood8385
    @shivamsood8385 3 ปีที่แล้ว +2

    awesome explanation. loved the BAM!!

    • @statquest
      @statquest  3 ปีที่แล้ว

      Glad you liked it!

  • @MrKingoverall
    @MrKingoverall 4 ปีที่แล้ว +1

    I love StatQuest, StatQuest I love.

  • @dzmitryk9658
    @dzmitryk9658 3 ปีที่แล้ว +1

    Thank you! This clarified a new concept for me once again!

  • @wasifallvi5468
    @wasifallvi5468 2 ปีที่แล้ว +1

    Superv Explanation, Understand it very well. Thanks a lot StatQuest

    • @statquest
      @statquest  2 ปีที่แล้ว

      Glad it was helpful!

  • @NM-vw6xq
    @NM-vw6xq 4 ปีที่แล้ว +1

    I'm here for the BAM! ... and awesome learning experience.

  • @moones2012
    @moones2012 ปีที่แล้ว +1

    감사합니다!! thank you... this video is really helpful for my categorical data analysis class.. from south Korea,,,,,,,,,,,,,,,,,

    • @statquest
      @statquest  ปีที่แล้ว

      Thank you! If you like this video, check out the korean translation of my book: www.yes24.com/Product/Goods/117173369

  • @lizny9261
    @lizny9261 5 ปีที่แล้ว +13

    I laughed at that < bam. > I am a big fan of your BAM videos! lool

  • @npraneeth5844
    @npraneeth5844 2 ปีที่แล้ว +1

    Very clean and clear cut explanation👍🏻

  • @pranavpatil.7
    @pranavpatil.7 3 ปีที่แล้ว +1

    What an amazing video with the perfect explaination

    • @statquest
      @statquest  3 ปีที่แล้ว +1

      Thank you! :)

    • @pranavpatil.7
      @pranavpatil.7 3 ปีที่แล้ว +1

      @@statquest I should be thanking you for saving me on my exam-day! 😄 Thanks! Btw you still liking and replying to comments on an old video is a sign of a truly grateful and humble TH-camr!❤️

    • @statquest
      @statquest  3 ปีที่แล้ว +1

      @@pranavpatil.7 Good luck with your exam! I hope it goes well. :)

  • @David-cx3fc
    @David-cx3fc 3 ปีที่แล้ว +1

    This helped so much right when I needed to know this!!

  • @suixinTHU
    @suixinTHU 2 ปีที่แล้ว +1

    Bam... I found your video and it made my day....

  • @kiouria90
    @kiouria90 2 ปีที่แล้ว +1

    You are the best by far!

  • @maryameboutkhil6909
    @maryameboutkhil6909 2 ปีที่แล้ว +1

    Thank you so much for your explanation! Very very informative and easy to understand!

    • @statquest
      @statquest  2 ปีที่แล้ว

      Glad you enjoyed it!

  • @Bjorn_R
    @Bjorn_R ปีที่แล้ว +1

    Man Im going through grueling hours of datamining in my masters. I keep thinking am I just not interested? or does it have to be this hard and boring?. And in comes Josh Starmer and clears the topic in mere minutes. Bought your book by the way. Hope you go into the math in there, Looking at math formulas is like reading hebraic to me

    • @statquest
      @statquest  ปีที่แล้ว

      Thank you! And thank you for supporting StatQuest! BAM! :)

    • @PSTWFB
      @PSTWFB ปีที่แล้ว

      #confusion#matrix#machinelearning#deep#precision#recall F1 #score#accuracy#true#positive #negative!
      th-cam.com/video/YlFgsaxagX0/w-d-xo.html

  • @saranayakumar
    @saranayakumar 2 ปีที่แล้ว +1

    Why didn't I stumble upon your videos earlier. Quality content.

    • @statquest
      @statquest  2 ปีที่แล้ว +1

      Thank you!

  • @editedrectangle1385
    @editedrectangle1385 2 หลายเดือนก่อน +2

    I hope your knowlege and wisdom can help me ace my sem finals and get my degree

    • @statquest
      @statquest  2 หลายเดือนก่อน

      Good luck!

  • @jessiedeemarkgingo6074
    @jessiedeemarkgingo6074 4 ปีที่แล้ว +1

    Thank you for making confusion matrix not confusing at all. :)

  • @sayak
    @sayak 4 ปีที่แล้ว +3

    BAM! that cleared the confusion. Double BAM!

  • @nicoleluo6692
    @nicoleluo6692 ปีที่แล้ว +1

    Bam!!! I fully understand now. Thank you!

  • @brpawankumariyengar4227
    @brpawankumariyengar4227 3 ปีที่แล้ว +1

    Yet another Amazing Video ….. 👍🏻👍🏻👍🏻

    • @statquest
      @statquest  3 ปีที่แล้ว

      Thank you so much 😀

  • @mkaberli
    @mkaberli 5 ปีที่แล้ว +2

    It would be interesting to identify the false positives and negatives that the random Forest and k-means algorithms that were the same, if any. If there were many, then that would indicate that the metrics used were in the analysis needed tweaking.

    • @statquest
      @statquest  5 ปีที่แล้ว

      Good insight! :)

  • @MehmetMustafaICER
    @MehmetMustafaICER 5 ปีที่แล้ว +3

    Very good explanation. Thanks.

  • @ming8238
    @ming8238 3 ปีที่แล้ว +1

    This video helped me a lot. Thank you so much.

  • @jessssssie
    @jessssssie 4 ปีที่แล้ว +1

    your explanation is fabulous!!!!

    • @statquest
      @statquest  4 ปีที่แล้ว

      Thank you! :)

  • @rajshah7734
    @rajshah7734 ปีที่แล้ว

    There is a mistake at 1:43 in the video. The columns generally represent the predicted values and rows represent the actual values.

    • @statquest
      @statquest  ปีที่แล้ว

      Unfortunately there is no one way that confusion matrices are drawn. Sometimes the predicted values are rows, sometimes they are columns. So it is a good idea to always check the labels on a confusion matrix. This video illustrates the confusion matrix concept as described in the Introduction to Statistical Learning, page 145, which is one of the most popular and famous books about machine learning.

    • @rajshah7734
      @rajshah7734 ปีที่แล้ว +1

      @@statquest Oh Okay, thanks for clarifying👍😇.

  • @badoiuecristian
    @badoiuecristian 4 ปีที่แล้ว +2

    Note! In skelearn, confusion_matrix is the other way round. Actuals are on the left and predicted on top. Just in case your model preforms amazing.. for some reason :))

  • @robertkissinger6050
    @robertkissinger6050 4 ปีที่แล้ว +1

    StatQuest is my hero 🎹

  • @timepassbox
    @timepassbox 8 หลายเดือนก่อน +1

    Great 👍🏻🎉 Thanks for your support and Video

    • @statquest
      @statquest  8 หลายเดือนก่อน

      Thanks!

  • @pricillajeyapaul
    @pricillajeyapaul 3 ปีที่แล้ว +1

    thank u so much.i am so messed up with this topic.un explained me very easily

  • @tanmoysarkar5848
    @tanmoysarkar5848 3 ปีที่แล้ว +1

    Feeling satisfied! Thank you!

  • @msctube45
    @msctube45 4 ปีที่แล้ว +1

    Thank you for this informative and well explained video.

  • @keepflying7137
    @keepflying7137 3 ปีที่แล้ว +2

    Such a wonderful explain

    • @statquest
      @statquest  3 ปีที่แล้ว

      Thank you! :)

  • @bashiransari6258
    @bashiransari6258 ปีที่แล้ว +1

    the best on internet

  • @pranavjain9799
    @pranavjain9799 3 ปีที่แล้ว +1

    Thank you so much. This was incredibly helpful.

  • @Pilotamericano
    @Pilotamericano 2 ปีที่แล้ว +1

    thanks! this was very informative and fun and easy as well

    • @statquest
      @statquest  2 ปีที่แล้ว

      Glad it was helpful!

  • @ajinkyaadhotre5336
    @ajinkyaadhotre5336 2 ปีที่แล้ว +1

    need an extended version of the intro song , i loved it ! :D

    • @statquest
      @statquest  2 ปีที่แล้ว

      Ha! Thanks! :)

  • @Aljavaid
    @Aljavaid 5 ปีที่แล้ว +3

    Best Intro EVER

  • @hadishaaben3665
    @hadishaaben3665 4 ปีที่แล้ว +1

    thanks for the clear explanation

  • @xujingee
    @xujingee 4 ปีที่แล้ว +1

    Thanks so much for making these videos! They are great! I love the silly songs too.

    • @statquest
      @statquest  4 ปีที่แล้ว

      Glad you like them!

  • @afkghost9758
    @afkghost9758 5 ปีที่แล้ว

    I'm so so glad that Howard the Duck was not in the Confusion Matrix as you declared the other movies in the matrix terrible. Because Howard the Duck is the greatest movie ever made. Ever. After Trollhunters...

    • @statquest
      @statquest  5 ปีที่แล้ว

      Ha! Howard the Duck is a.... unique movie. ;)

  • @amralaarag4563
    @amralaarag4563 4 ปีที่แล้ว +2

    Really very good explanation , Thank you :)

    • @statquest
      @statquest  4 ปีที่แล้ว

      Glad it was helpful!