Machine Learning Fundamentals: Bias and Variance

2024 ж. 17 Мам.
1 244 602 Рет қаралды

Bias and Variance are two fundamental concepts for Machine Learning, and their intuition is just a little different from what you might have learned in your statistics class. Here I go through two examples that make these concepts super easy to understand.
For a complete index of all the StatQuest videos, check out:
statquest.org/video-index/
If you'd like to support StatQuest, please consider...
Buying The StatQuest Illustrated Guide to Machine Learning!!!
PDF - statquest.gumroad.com/l/wvtmc
Paperback - www.amazon.com/dp/B09ZCKR4H6
Kindle eBook - www.amazon.com/dp/B09ZG79HXC
Patreon: / statquest
...or...
KZhead Membership: / @statquest
...a cool StatQuest t-shirt or sweatshirt:
shop.spreadshirt.com/statques...
...buying one or two of my songs (or go large and get a whole album!)
joshuastarmer.bandcamp.com/
...or just donating to StatQuest!
www.paypal.me/statquest
Lastly, if you want to keep up with me as I research and create new StatQuests, follow me on twitter:
/ joshuastarmer
0:00 Awesome song and introduction
0:29 The data and the "true" model
1:23 Splitting the data into training and testing sets
1:40 Least Regression fit to the training data
2:16 Definition of Bias
2:33 Squiggly Line fit to the training data
3:40 Model performance with the testing dataset
4:06 Definition of Variance
5:10 Definition of Overfit
Correction:
4:06 I say that the difference in fits between the training dataset and the testing dataset is called Variance. However, I should have said that the difference is a consequence of variance. Technically, variance refers to the amount by which the predictions would change if we fit the model to a different training data set.
#statquest #biasvariance #ML

Пікірлер
  • Correction: 4:06 I say that the difference in fits between the training dataset and the testing dataset is called Variance. However, I should have said that the difference is a _consequence_ of variance. Technically, variance refers to the amount by which the predictions would change if we fit the model to a different training data set. Support StatQuest by buying my book The StatQuest Illustrated Guide to Machine Learning or a Study Guide or Merch!!! statquest.org/statquest-store/

    @statquest@statquest3 жыл бұрын
    • And at 4:55, why do you say straight line has low variance? That isn't necessarily true since those points on the graph could be anywhere else and if they are farther from the line, the sum of squares could easily be much greater. .

      @leif1075@leif10753 жыл бұрын
    • @@leif1075 Given this dataset, the straight line has lower variance than the squiggly line. Given another dataset, things could be very different.

      @statquest@statquest3 жыл бұрын
    • @@statquest Ok so you were only referring tp this dataset then? Sorry What I said is correct though in general right?

      @leif1075@leif10753 жыл бұрын
    • @@leif1075 Regardless of the models and the data, you always have to test to see which one has the least variance.

      @statquest@statquest3 жыл бұрын
    • @@statquest So what I said was correct then?

      @leif1075@leif10753 жыл бұрын
  • 4 hours of the lectures with a lot of complicated math: got nothing 6 minutes with the singing guy: *DOUBLE BAM*

    @y.gromyk@y.gromyk3 жыл бұрын
    • Hooray! :)

      @statquest@statquest3 жыл бұрын
    • Math is important. Go learn the math.

      @fluxqubit@fluxqubit2 жыл бұрын
    • You can't get anywhere without the math

      @vitaminprotein2789@vitaminprotein278916 күн бұрын
    • @@fluxqubit ima jus import da python library my G. math is for fools

      @headyshotta5777@headyshotta57779 күн бұрын
  • Better than lots of courses on Udemy. I really like your humor

    @0xh8h@0xh8h4 жыл бұрын
    • Thanks! :)

      @statquest@statquest4 жыл бұрын
    • @@statquest BAMMMM!!!!!!

      @Ex_Arc@Ex_Arc4 жыл бұрын
    • @@Ex_Arc :)

      @statquest@statquest4 жыл бұрын
    • @@statquest DOUBLE BAMMM

      @prashdash112@prashdash1124 жыл бұрын
    • @@prashdash112 Thanks! :)

      @statquest@statquest4 жыл бұрын
  • This guy has united his two passions-Machine Learning and guitar.

    @reniellechavez3689@reniellechavez36894 жыл бұрын
    • Yes! :)

      @statquest@statquest4 жыл бұрын
    • and mice :)

      @LevanZoSoGharibashvili@LevanZoSoGharibashvili3 жыл бұрын
    • and singing & composing! Loved the intro in this video :)

      @hannahdo980@hannahdo9802 жыл бұрын
    • and saying "Bam"

      @funnybunnies3985@funnybunnies39852 жыл бұрын
    • Josh! How about that transformers video? Eagerly awaiting your humorous and mad explanation skills. Perhaps how it relates to its predecessor models? Key Query Value bit would be great as well. Keep on rocking it.

      @shaiguitar@shaiguitar Жыл бұрын
  • LOL What a way to present dry material with a dry approach yet making it interesting and easy to follow :-) Great job!

    @VictorAntonioLive@VictorAntonioLive5 жыл бұрын
    • His dryness went full circle XD

      @youtubecommenter5122@youtubecommenter51223 жыл бұрын
  • I went from BUMMED to DOUBLE BAM in six and a half minutes. God bless you!

    @Maya_s1999@Maya_s19994 жыл бұрын
    • Hooray! :)

      @statquest@statquest4 жыл бұрын
    • I did the same in just over three minutes with increased playback speed! BAM

      @mjatx@mjatx4 жыл бұрын
  • Notes for myself: Def. of Bias: The inability for a machine learning method to capture the true relationship is called Bias. Def. of Variance: The difference in fits between data sets is called Variance.

    @mortysmith8980@mortysmith89804 жыл бұрын
    • M-m-Morty huh? Learning some m-m-machine learning? Your grandpa rick would be p-p-proud of you **burp**, Morty.

      @BrandonSLockey@BrandonSLockey4 жыл бұрын
    • Thanks Morty for ur short note, which helps me to understand the definition more clearly. Good luck for ur adventure with ur crazy Grandpa

      @sakata_gintoki007@sakata_gintoki0073 жыл бұрын
    • Thank you Morty

      @alephnull423@alephnull4233 жыл бұрын
    • @@BrandonSLockey That doesn't sound like something Rick would say! He'd probably berate Morty for trying to learn this and then go on a soliloquy of how nothing actually will ever matter :D

      @ankur2893@ankur28933 жыл бұрын
    • These two definitions are completely counter-intuitive for me, have to re-define them for myself constantly. Because, bias sounds like the model is biased to the training data, but the bias in the definition is towards the model's assumptions (i.e linear model biased towards linearity). Variance sounds like the model's variation from the training set data (creating high variance), but the definition refers to the large variance of the error values (i.e residuals) when the model is fit to new data. Hope this helps if your intuition is similar to mine.

      @Twinblade34@Twinblade343 жыл бұрын
  • I wish professors taught like this!! Such clarity - I am so thankful to you.

    @Yourdaddy_2024@Yourdaddy_20242 жыл бұрын
    • Wow, thank you!

      @statquest@statquest2 жыл бұрын
  • You're like the postal mailman of online videos. Neither snow nor rain nor heat nor gloom of night can stop StatQuest!

    @chrisg0901@chrisg09015 жыл бұрын
    • i read it as post malone

      @codeb3nder862@codeb3nder8624 жыл бұрын
    • you have watched enough Seinfeld , haven't you?

      @shobhitsadwal756@shobhitsadwal7562 жыл бұрын
  • Wow this was so straight to the point with great visuals that I managed to figure out all in one go! Great stuff!

    @genie52@genie524 жыл бұрын
    • Awesome!!! :)

      @statquest@statquest4 жыл бұрын
  • I am currently in a trainee program to learn machine learning...my teachers suggested this channel. This is awesome

    @sunwukong6268@sunwukong6268 Жыл бұрын
    • Welcome aboard!

      @statquest@statquest Жыл бұрын
  • I have watched many of Josh's videos several times. Whenever I find myself trying to remember a concept, I know that a StatQuest video will sort me out in 10 minutes or less

    @jennydavies6973@jennydavies69733 жыл бұрын
    • BAM!

      @statquest@statquest3 жыл бұрын
  • *Opens StatQuest Videos* -> Automatically clicks 'Like'

    @mauropappaterra@mauropappaterra5 жыл бұрын
  • So much of quality content on Machine Learning!! I wish I knew about this channel a bit before. A must follow channel for ML & DS enthusiasts. Great job Josh :) Please continue the good work and serve the humanity!!

    @BhanutejaAryasomayajula@BhanutejaAryasomayajula3 жыл бұрын
    • Thank you very much! :)

      @statquest@statquest3 жыл бұрын
  • The best and most interesting videos combine fundamental statistics, machine learning for beginners. The heavy textbook for statistics are so bored and after watching your series videos, I have a better understanding of many abstract things. Thanks, tons!!!

    @jingyansun1293@jingyansun12935 жыл бұрын
  • BAM ! Mindblowing how clearly explained these videos are, with even a sense of humour and some home made music. Really nice work, hats off.

    @MorganFABRE@MorganFABRE3 жыл бұрын
    • Wow, thanks!

      @statquest@statquest3 жыл бұрын
  • you just did it in a perfect way. I've read blogs, "best ML books", and other resources, but you just nailed this. thank you!

    @Sina_Z@Sina_Z2 жыл бұрын
    • Thank you!

      @statquest@statquest2 жыл бұрын
  • After watching more than hundred of videos on machine learning, i find your way of explanation very easy to understand and digest. Plus, i am really amazed with the way you start your lectures and wait for 'BAM' to come.

    @VijaySharma-tl1ib@VijaySharma-tl1ib3 жыл бұрын
    • Wow, thanks!

      @statquest@statquest3 жыл бұрын
  • The world of learning is still enjoyble cuz of people like you are still present

    @cherryandjaji5694@cherryandjaji56944 жыл бұрын
    • Thank you! :)

      @statquest@statquest4 жыл бұрын
  • From Intro to Statistical Learning with Application in R. I fully grasp the picture of Bias and Variance. In addition, flexible techniques vs less flexible techniques now cement into my memory, before I just crammed the terminology without knowing exactly what it means. I will be a constant goer to this channel

    @shamsuddeen2004@shamsuddeen20045 жыл бұрын
  • I have paid for courses on edX and also have many free resources available to me through school- nothing has explained Bias and Variance as quickly and efficiently as you have in this video. Thank you, thank you, THANK YOU!

    @katiedunn7369@katiedunn73693 жыл бұрын
    • Hooray! I'm glad my video was helpful.

      @statquest@statquest3 жыл бұрын
  • My masters course in ML has been challenging. Getting washed over with lots of maths with greek (I've only taken calc I) and statistical jargon (never taken stats) when I am a simple computer science pleb has made class really hard. These videos are making light work of looking past the confusing figures and long-winded over-technical lectures! Thank you, Josh. Thanks, StatQuest!

    @BenStoneking@BenStoneking3 жыл бұрын
    • Hooray! I'm glad my videos are helpful! :)

      @statquest@statquest3 жыл бұрын
    • How on earth did you get into a masters of ML without more background in relevant subjects?

      @mitchellsteindler@mitchellsteindler2 жыл бұрын
    • @@mitchellsteindler I'm looking back at my previous reply and see that it sounds like I'm doing a masters program in ML. What I was trying to say is that I was taking an ML course in my masters program. My program is just computer science :) But I passed my class with an A with big thanks to these awesome videos!

      @BenStoneking@BenStoneking2 жыл бұрын
    • @@BenStoneking ah okay

      @mitchellsteindler@mitchellsteindler2 жыл бұрын
  • Best, most intuitively understoood, explanation of this that I've ever seen!

    @joebater7830@joebater78304 жыл бұрын
    • BAM! :)

      @statquest@statquest4 жыл бұрын
  • Amazing video, love the clarity and simplicity.

    @PiyushRaj-ij3dx@PiyushRaj-ij3dx5 жыл бұрын
  • It couldn't have been made easier to understand these concepts.Great job, I hope your journey to making abstruse concepts easy to understands doesnt end here

    @amirmohammadjalili2676@amirmohammadjalili26763 жыл бұрын
    • I hope not! :)

      @statquest@statquest3 жыл бұрын
  • You're gifted to turn unclear concepts to pretty clear ones. Baaam!

    @amribrahim7850@amribrahim78503 жыл бұрын
    • Thank you! :)

      @statquest@statquest3 жыл бұрын
  • This guy is awesome... this video actually explain bias and variance To Me finally. I have watch lots of other video but it was this video who taught me this concept

    @akashdesarda5787@akashdesarda57875 жыл бұрын
    • Awesome!!! Thank you so much! :)

      @statquest@statquest5 жыл бұрын
  • the best video so far on bias-variance tradeoff.

    @enixling@enixlingАй бұрын
    • Thanks!

      @statquest@statquestАй бұрын
  • Thanks man, i do not know what the start was about, but your video really helped me. Thanks

    @joelvaz8115@joelvaz81154 жыл бұрын
  • I have understood not only the Bias and Variance, but also even more ML terminology that has been quite difficult for me to understand until this point! Keep it up brother! Very good job :)

    @dropfiremusic4752@dropfiremusic47524 жыл бұрын
    • Awesome!!! :)

      @statquest@statquest4 жыл бұрын
  • You are probably the best resource when it comes to understanding the fundamentals of Machine Learning... like it's not even close

    @ghanilawal6798@ghanilawal67982 жыл бұрын
    • Thank you! :)

      @statquest@statquest2 жыл бұрын
  • hands down the best explanation that i have ever seen. plus the humour is soo good

    @Sbmbrk@Sbmbrk12 күн бұрын
    • Thanks!

      @statquest@statquest12 күн бұрын
  • Thank you, Josh, for this wonderful video on Bias and Variance in ML. It was a great visual-heavy explanation and the explanations were made very clear for these two concepts!

    @tymothylim6550@tymothylim65503 жыл бұрын
    • Thank you very much! :)

      @statquest@statquest3 жыл бұрын
  • Josh , I don't know which i love more, your songs or your lessons on stats. You're amazing.

    @iho2437@iho24372 жыл бұрын
    • bam! :)

      @statquest@statquest2 жыл бұрын
  • Very concise and easily understandable video. In the past I have read this topic in books and seen other videos but never understood bias variance so clearly earlier.

    @Fields_Forks@Fields_Forks4 жыл бұрын
    • Thanks! I'm glad my video is helpful. :)

      @statquest@statquest4 жыл бұрын
  • This is some quality educational content...Keep up the good work brother!! Definitely gonna buy some merch to support the channel!!

    @vaibhavbisht5514@vaibhavbisht55144 жыл бұрын
    • Awesome! Thank you! :)

      @statquest@statquest4 жыл бұрын
  • Brilliant and clear and concise explanation: the best i have seen!!! Congrats and many thanks.

    @hari20001@hari200014 жыл бұрын
    • Thank you! :)

      @statquest@statquest4 жыл бұрын
  • Currently reading the Intro to Statistical Learning with Application in R and I can't tell you the number of times I've loaded up one of your videos to help me understand one of the concepts such as Bias and Variance because they do a poor job in explaining for a broader audience. Please keep it up!

    @gardnmi@gardnmi5 жыл бұрын
    • Hooray! One of my long term goals is to "translate" most of that book into StatQuest videos. This was the first, but I also just put out a vide on Ridge Regression and will soon put out a vide on Lasso Regression.

      @statquest@statquest5 жыл бұрын
    • Literally doing exactly the same thing

      @michaellamb8924@michaellamb89245 жыл бұрын
    • I was searching Bias and Variance for the same reason. Thankfully I found this channel!

      @kenocontreras@kenocontreras5 жыл бұрын
    • Came here for the exact same reason lol

      @erdenebilegb.379@erdenebilegb.3794 жыл бұрын
  • I do love the way you explain and the way you keep people alert to upcoming information

    @jonathanuis@jonathanuis4 жыл бұрын
    • Thank you! :)

      @statquest@statquest4 жыл бұрын
  • This is absolutely brilliant M8, crisp, clear and very concise. Well Done!! You've got one more stat fan now!

    @AjayKrews@AjayKrews4 жыл бұрын
    • Hooray! Thank you very much! :)

      @statquest@statquest4 жыл бұрын
  • Wow.. Go through many blogs.. Watched many videos and asked n no.of questions in quora and other platforms, but your single video (less than 7 minute video) explained well.. Really Thanks man.. Done a great job..

    @shaikansari6882@shaikansari68825 жыл бұрын
    • Thank you!!! :)

      @statquest@statquest5 жыл бұрын
  • awsome and very clear explanation!

    @MontahaAlriQa@MontahaAlriQa5 жыл бұрын
  • My new favourite channel to learn the fundamentals of ML. Plus you use R!!! 🔥

    @InfinitesimallyInfinite@InfinitesimallyInfinite5 жыл бұрын
  • Great explanation in simple terminologies , Thanks !

    @ramkumarrs1170@ramkumarrs11705 жыл бұрын
  • Thank you so much for this video at this special moment! I hope you can keep safe during Florence hurricane! Good luck to you and the Carolinas!

    @yangwang6805@yangwang68055 жыл бұрын
    • Thank you! We got a lot of flooding, but I stayed dry and now the sun is shining again. :)

      @statquest@statquest5 жыл бұрын
  • Just found this channel today. Also making my way through ISLR. They have a great video series to go along with the book, but still pretty technical. This channel is a god send. Thank you!

    @soundbeans@soundbeans5 жыл бұрын
    • You're welcome!

      @statquest@statquest5 жыл бұрын
  • I will comment on every single video of yours. Just to show how much I love your teaching style.

    @proggenius2024@proggenius2024Ай бұрын
    • bam!

      @statquest@statquestАй бұрын
  • Sir I must say you are the Gem. This 6:35 Mins video has taught me what our Phd Dr. 3 Hrs with 50 slides cant.... Hat's off

    @maliknauman3566@maliknauman35662 жыл бұрын
    • bam!

      @statquest@statquest2 жыл бұрын
  • You should sell these videos as DVD sets. I bet a lot of educators would buy them.

    @robertmurphy8084@robertmurphy80844 жыл бұрын
  • Great video, very clear. Also, the graphics are intuitive. Thank you!

    @justinberken@justinberken4 жыл бұрын
    • Thanks! :)

      @statquest@statquest4 жыл бұрын
  • Thank you for your work Josh, I learn more from your six and a half minute videos than I do from six and a half of hours of textbooks and classwork

    @Max-sc8qj@Max-sc8qj2 жыл бұрын
    • Glad to help!

      @statquest@statquest2 жыл бұрын
  • Thank God I found this channel! I understand 2 hour lectures under 10 minutes - Thanks StatQuest!!

    @starreachsocietybw@starreachsocietybw2 ай бұрын
    • Happy to help! :)

      @statquest@statquest2 ай бұрын
  • Such a GREAT video on bias-variance trade-off. Looking forward to your lectures on regularization and boosting~

    @yulinliu850@yulinliu8505 жыл бұрын
  • Great job man! Seriously, you made my journey in data science easier 👍

    @fanati7637@fanati76373 жыл бұрын
    • BAM! :)

      @statquest@statquest3 жыл бұрын
  • this is probably how education is gonna be in the future, thanks a lot!

    @konstantinlevin8651@konstantinlevin86519 ай бұрын
    • :)

      @statquest@statquest9 ай бұрын
  • WHAT IS STATQUEST? MY LIFE SAVER

    @LC-rw3lt@LC-rw3lt3 жыл бұрын
    • :)

      @statquest@statquest3 жыл бұрын
  • very clear, no extra unnecessary "noise". I really enjoyed this lesson.

    @nurwani556@nurwani5564 жыл бұрын
    • Awesome, thank you!

      @statquest@statquest4 жыл бұрын
  • I loved your composition Miss Carolina. You have amazing voice Sir!

    @pratiknabriya5506@pratiknabriya55064 жыл бұрын
    • Thank you very, very much!!!! :)

      @statquest@statquest4 жыл бұрын
  • Dude you are awesome, this is my first video that I have seen from your channel. Plan on watching your other videos as well. Such great visualizations. just wow.

    @rakeshranjan9728@rakeshranjan97284 жыл бұрын
    • Thank you very much! :)

      @statquest@statquest4 жыл бұрын
  • Very simply and amazingly explained, saw many tutorials but this was by far the best. Thank you :)

    @ashilshah3376@ashilshah33768 ай бұрын
    • Thank you!

      @statquest@statquest8 ай бұрын
  • Thank you very much for this video! I am learning a lot from it and it helps me understand what people mean by Bias-Variance tradeoff!

    @tymothylim6550@tymothylim65503 жыл бұрын
    • Thank you very much! :)

      @statquest@statquest3 жыл бұрын
  • 3:09 psst. I can listen to this all day.

    @srikarAilla@srikarAilla4 жыл бұрын
    • :)

      @statquest@statquest4 жыл бұрын
  • Thank you so much for all of your videos. I'm watching them all in a row. All the subjects are so clearly explained ! Thank you very much from France !

    @krispsg9189@krispsg91892 жыл бұрын
    • Thank you very much!!! :)

      @statquest@statquest2 жыл бұрын
  • I got to the point where I first check statquest if I come across unfamiliar topics. Thank you so much for all of your hard work!!!

    @dinara8571@dinara85713 жыл бұрын
    • Bam! :)

      @statquest@statquest3 жыл бұрын
  • Paid thousands of dollars on Udacity, but ALWAYS have to come to your channel for a clear explanation. Love the way you explained all these complicated concepts Josh :) (Btw, we met at IVADO's 100 Days Event haha:) )

    @jenn6997@jenn69973 жыл бұрын
    • Hooray! I'm so glad my videos are helpful and IVADO's 100 Days Event was super cool. :)

      @statquest@statquest3 жыл бұрын
    • Your videos are AMAZING!! Thank you Josh for being such an inspiration :) Have a wonderful weekend! :)

      @jenn6997@jenn69973 жыл бұрын
  • Tons of Thanks for You..your videos are really nice..pls do the video on regularization soon..

    @sharanyar7092@sharanyar70925 жыл бұрын
    • I should have the first video on Regularization out in the next week or two. :)

      @statquest@statquest5 жыл бұрын
    • 👍

      @sharanyar7092@sharanyar70925 жыл бұрын
  • MAN!!! i was reading about bias and variance trade off, but not a word got into my head...this video made it beyond clear!! thanks a ton!!

    @yusrashaikh1259@yusrashaikh12594 жыл бұрын
    • Hooray! I'm glad the video was helpful. :)

      @statquest@statquest4 жыл бұрын
  • Thanks for all your videos, I will go through all of them! You are the best!

    @diyaqu7077@diyaqu7077 Жыл бұрын
  • PERFECT AND CLEAR!

    @atisafarkhah5923@atisafarkhah59234 жыл бұрын
    • Awesome!

      @statquest@statquest4 жыл бұрын
  • youtube should give option to add thousand likes. Your channel beats paid ML courses out there hands down.

    @BeSharpInCSharp@BeSharpInCSharp3 жыл бұрын
    • Thank you very much! :)

      @statquest@statquest3 жыл бұрын
  • You are a scholar and a gentleman. Thank you for explaining what my lecturer tried to explain in 2 hours in 6 minutes.

    @hohohoupufuru@hohohoupufuru3 жыл бұрын
    • You're very welcome!

      @statquest@statquest3 жыл бұрын
  • What an outstandingly simple and intuitive explanation, bravo!

    @josephiles7515@josephiles75154 жыл бұрын
    • Thank you! :)

      @statquest@statquest4 жыл бұрын
  • You’re on my list of guys I’ll buy a beer for if I ever see in a bar. You, Jeremy Howard, and the folks over at Deep Lizard.

    @johnhutton7313@johnhutton73132 жыл бұрын
    • Wow! Thank you very much! :)

      @statquest@statquest2 жыл бұрын
  • Hi Josh! You are the "God of ML and Stats". You really made me fall in love with these subjects. I had a query. According to you, if we cut the data into training and testing sets, what % should be assigned to test? I think it should vary with the amount of data, but is there a thumb rule?

    @preranadas4037@preranadas40374 жыл бұрын
    • There are a handful of "rules of thumb". One simple one is if you do 10 fold cross validation, then you divide your data into 10 equally sized bins (see the StatQuest on cross validation: kzhead.info/sun/mbeypN5_rql4ia8/bejne.html ). Another standard is to use 75% for training and 25% for testing. This is the default setting for Python's scikit-learn function train_test_split().

      @statquest@statquest4 жыл бұрын
  • Simple yet concise explanation, thank you! Very helpful.

    @mps6934@mps69344 жыл бұрын
    • Thank you! :)

      @statquest@statquest4 жыл бұрын
  • this was so straight to the point, with some great visuals that I managed to figure out all in one go! BAM!!!!!

    @mehediazad1780@mehediazad1780 Жыл бұрын
    • Hooray! :)

      @statquest@statquest Жыл бұрын
  • Man, you're very didactic! For each statement, there is a 'because', so that your students never ends with a question mark in the head. Besides that, you don't mind to repeat the because's again and again in different ways, and that's what make things clearer. Why can't teachers, coaches, tutors realize that? Triple BAMMM!

    @jorgejgleandro@jorgejgleandro4 жыл бұрын
    • Thank you very much!! :)

      @statquest@statquest4 жыл бұрын
  • Have watched many of your videos and that have forced me to write a comment, Stat Quest is AWESOME!! and @Josh Starmer, I am you fan. The way you begin your videos and go about explaining some of the most difficult concepts in Statistics and Machine Learning is GREAT. Many books and tutorials mention making the complex simple, but rarely do so. This channel is not one of them, it truly makes things simple to understand. I have just one request (i think most of your followers would agree to this point), please write a book on Machine Learning and it's application of various algorithms (may be a series of books).

    @mauliknaik9520@mauliknaik95204 жыл бұрын
    • Thanks so much! If I ever have time, I'll write a book, but right now I only have time to do the videos.

      @statquest@statquest4 жыл бұрын
  • its amazing how 6 minutes video did a far (and i mean really far) more better job in explaining the concepts than hours spent on articles that did nothing but increase confusion. thanks a lot for sharing this... much luv

    @RS-el7iu@RS-el7iu3 жыл бұрын
    • Wow, thanks!

      @statquest@statquest3 жыл бұрын
  • Woah your original songs are beautiful too'

    @bhabeshroy3038@bhabeshroy30384 жыл бұрын
  • BAM. Subscribed.

    @stefanosmoungkoulis9158@stefanosmoungkoulis91585 жыл бұрын
  • One of the best videos I have come so far

    @sheikhrehman4867@sheikhrehman486710 ай бұрын
    • Thank you!

      @statquest@statquest10 ай бұрын
  • I love that you explained why you square the differences! Most people don't bother explaining that and it always seemed strange to me.

    @katwoods8514@katwoods85143 жыл бұрын
    • Thanks!

      @statquest@statquest3 жыл бұрын
  • great work, so funny

    @yucao6742@yucao67425 жыл бұрын
  • StatQuest terminology : Bam with a high tone means this is the point you should understand. Little bam means something more important are coming. Double bams means at this point, you should be enlightened.

    @kittipobkomjaturut8797@kittipobkomjaturut87974 жыл бұрын
    • That's perfect!!! You made me laugh out loud. :)

      @statquest@statquest4 жыл бұрын
    • @@samarthgoel1671 I think Tiny Bam means "boring but important."

      @statquest@statquest4 жыл бұрын
    • @@statquest TRIPLE BAM

      @marvelfan5444@marvelfan54444 жыл бұрын
  • People are letting youtube rabbit holes radicalize them and here I am finally gaining a deeper understanding of complex stats

    @CapoeiraPiper@CapoeiraPiper3 жыл бұрын
    • bam! :)

      @statquest@statquest3 жыл бұрын
  • Man I have been trying to learn this for 1 month finally I found this video no video on Internet beats this.

    @aashishkarn@aashishkarn Жыл бұрын
    • bam! :)

      @statquest@statquest Жыл бұрын
    • @@statquest Double Bam ! AI in Nepal has your spark of knowledge.

      @aashishkarn@aashishkarn Жыл бұрын
    • @@aashishkarn That is awesome! Go for it! :)

      @statquest@statquest Жыл бұрын
  • perfect video doesn't exist... wait nvm, found it!

    @Yesuuh@Yesuuh Жыл бұрын
    • bam! :)

      @statquest@statquest Жыл бұрын
  • Who on the EARTH disliked this video? Probably other content creators...

    @vaibhav_uk@vaibhav_uk3 жыл бұрын
    • It's always a mystery why someone doesn't like StatQuest. Maybe they couldn't handle the BAM! :)

      @statquest@statquest3 жыл бұрын
    • @@statquest could't agree more xD

      @nursahidassafaat6283@nursahidassafaat62833 жыл бұрын
  • Wonderful presentation, explanation and the effort you put in visualising every step...Thank you Josh!!

    @kamalamarepalli1165@kamalamarepalli11652 жыл бұрын
    • Glad you enjoyed it!

      @statquest@statquest2 жыл бұрын
  • you are so good like one step destination for learning this sort of statistical concepts in ML..........eagerly waiting for the regularizatuon and boosting videos..thanks a ton

    @aritradutta5679@aritradutta56795 жыл бұрын
  • linear regression (aka least square) finally, now I can die in peace. you explain things in very nice way.

    @Abdu572@Abdu5724 жыл бұрын
    • Thanks!

      @statquest@statquest4 жыл бұрын
  • Also, can you tube customize the like button to BAM!! that would be Great.. ;)

    @mauliknaik9520@mauliknaik95204 жыл бұрын
    • That would be awesome! :)

      @statquest@statquest4 жыл бұрын
  • Thank you very much, your explanations are really clear and to the point. Looking forward to the regularization lecture.

    @omarh9410@omarh94105 жыл бұрын
    • The first one, one Ridge Regression, is coming along. It should be ready by either this coming monday or the next. Lasso and Elastic Net Regression will follow.

      @statquest@statquest5 жыл бұрын
  • All your intro music give me a feeling tat the concepts are easy to understand....thanks you for building tat confidence.

    @philips2247540@philips22475404 жыл бұрын
    • Hooray! :)

      @statquest@statquest4 жыл бұрын
  • I could simply replace my tuition payments with payments for a KZhead Premium subscription. Much cheaper and easier to study :D

    @lucienzimmermann@lucienzimmermann2 жыл бұрын
    • bam! :)

      @statquest@statquest2 жыл бұрын
  • You are the male version of Phoebe Buffay!!! 😁

    @ArjunKalidas@ArjunKalidas5 жыл бұрын
  • you are seriously the absolute BEESSTT when it comes to teaching this things... thank you very much

    @aidaebrahimi2437@aidaebrahimi24373 жыл бұрын
    • Wow, thanks!

      @statquest@statquest3 жыл бұрын
  • This is an excellent series of machine learning, and I especially like the song at the starting of the video. Thank you statquest❤️

    @khushboojoshi7811@khushboojoshi78113 жыл бұрын
    • Glad you enjoy it!

      @statquest@statquest3 жыл бұрын
  • Bam ! Double bam!!

    @madhurashaligram5846@madhurashaligram58465 жыл бұрын
    • Hooray!!!! :)

      @statquest@statquest5 жыл бұрын
KZhead