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Statistics 101: Linear Regression, The Least Squares Method

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  • เผยแพร่เมื่อ 16 ส.ค. 2024
  • This Statistics 101 video is the next in our series about Simple Linear Regression. In our last two videos, we talked about the very basics of regression and introduced other basic concepts like the algebra of lines and general patterns to look for on a scatter plot.
    In this video, we are going to learn about the fundamental concept of linear regression; the Least Squares Method. We will talk about how the Least Squares Method relates to previous concepts we have learned and then we will actually use the method to calculate the least-squares line or the regression line. This video will involve formulas and simple calculations. While you may not have to find a simple regression line by hand very often, it is not that difficult to do, and this video will at least show you how it is done so you understand the underlying mechanics.
    So if you are new to Regression or are still trying to figure out exactly what it even IS...this video is for you. So sit back, relax, and let's go ahead and get to work.
    My playlist table of contents, Video Companion Guide PDF documents, and file downloads can be found on my website: www.bcfoltz.com
    #statistics #regression #machinelearning

ความคิดเห็น • 463

  • @sejaljudge3272
    @sejaljudge3272 3 ปีที่แล้ว +69

    I almost cry every time i hear you go "I have faith in you. Many other people around you have faith in you. So should you." aahhh thank you so much for these lessons!!

  • @SB-oo7fp
    @SB-oo7fp 6 ปีที่แล้ว +83

    Literally just taught me 3 weeks of lecture in 28 minutes

  • @luxgopaul2777
    @luxgopaul2777 8 ปีที่แล้ว +293

    You're the best, you should get an award or something.

  • @armadillorodeo4636
    @armadillorodeo4636 10 ปีที่แล้ว +41

    As a graduate student and analyzing data for my dissertation, this video series was a matter of reviewing previous learning. It has been some twenty years since my last statistics course. The example used consistently assisted in substituting data effectively. The narration with explicit explanation was highly simplified and assisted in retaining new learning. You are much better than any of my college professors. Thank you for helping me to write my Chapters 4 and 5!

  • @kyuubinaruto1025
    @kyuubinaruto1025 8 ปีที่แล้ว +59

    Anyone who gave this a thumbs down, is a teacher who isn't as good as you thanks man!

    • @Muzyk89
      @Muzyk89 5 ปีที่แล้ว +9

      Maybe their screens were upside down as they were liking it.

    • @jonathandavidboadamendoza3161
      @jonathandavidboadamendoza3161 3 ปีที่แล้ว +2

      That would be my professor, whose class had a mean of 49 on the midterm exam (keep in mind it's 70 for a C), and then she said we didn't study

  • @gokulrajk.9749
    @gokulrajk.9749 4 ปีที่แล้ว +40

    This how a good teacher should be, you understood the student's point of view and you nailed it!!!
    A big thanks from my heart !!! :-)

  • @imansafeen3381
    @imansafeen3381 6 ปีที่แล้ว +21

    it's sweet how he starts his videos with motivational quotes and talks about how basically we all can achieve

  • @yongslicer
    @yongslicer 8 ปีที่แล้ว +103

    Thanks for the first minute of encouragement, I needed that.

  • @gabrielrincon7776
    @gabrielrincon7776 3 ปีที่แล้ว +1

    I’ve struggled with math all of my life and this intro almost made me cry... thank you for believing in me

  • @HariPrasad-ox5ri
    @HariPrasad-ox5ri 4 ปีที่แล้ว +2

    "Education is the most powerful weapon that you can use to change the world" - The solid proof of this line is : your lectures which are making an solid impact on a student's life!

  • @nataliecalabrese5348
    @nataliecalabrese5348 7 ปีที่แล้ว +35

    OMG I LOOOOVVVVEEEE YOUUUUU THANK YOU THANK YOU THANK YOU...I FINALLY UNDERSTOOD EVERYTHING!!!!!!!!!!! YOU R MY HERO!!!!!!!!!!!!!! I've been studying for months and never understood anything!!!! YOU R THE BEST!!!!

  • @hectorjgalvan7
    @hectorjgalvan7 8 ปีที่แล้ว +11

    These videos have been helping me so much! You have no idea how much I've struggled with stats overall, especially, linear regression and just from the previous 3 videos I've managed to get a much better handle on how it really works and what regression really means! Thank you!

  • @fredh3152
    @fredh3152 6 หลายเดือนก่อน

    I appreciate your consistency in using the same example throughout. This approach provides a valuable opportunity for students to reinforce their understanding by revisiting familiar material. It strengthens the connection between previous lessons and the current one, facilitating a deeper comprehension of the subject matter. Thank you for maintaining this continuity; it greatly enhances the learning experience.

  • @sabinagargosova1951
    @sabinagargosova1951 4 ปีที่แล้ว +2

    I'm having an exam in 3 days and this is the best channel I have found so far while revising. Thank you so much for your effort and keep up the good work!

  • @cecilmcintosh864
    @cecilmcintosh864 ปีที่แล้ว

    Finally clicked after this series. Was so sick of not understanding the y-hat vs. y and estimating coefficients vs. choosing them. Ready for machine learning

  • @mubashirahmed9981
    @mubashirahmed9981 2 ปีที่แล้ว

    Best videos to learn in a very comprehensive way without any hassle.

  • @bananajoe700
    @bananajoe700 9 ปีที่แล้ว +54

    Thanks for the videos! your presentations are very well done, and your explanations very intuitive!

    • @BrandonFoltz
      @BrandonFoltz  9 ปีที่แล้ว +6

      +bananajoe700 Woot! Thank you so much for watching and learning.

  • @bringonautumn
    @bringonautumn 4 หลายเดือนก่อน

    I'm so happy (& lucky!) to have found your videos via a recommendation in a machine learning book I'm reading. Many years after first learning Stats, I was in need of a hefty refresh and your videos are just outstanding, thank you 😁 you are a legend!! 🙌

  • @manjaritandon7013
    @manjaritandon7013 4 ปีที่แล้ว +7

    Hi Brandon...u just made linear regression look like a piece of cake!!!

  • @shijik9487
    @shijik9487 3 ปีที่แล้ว

    Mr. Brandon , you are one of the best statistics teachers that I encountered in youtube videos! I had to read 20 pages of a chapter to understand this concept, but couldn't understand it. You explained regression model so simple way that a middle school math kid understand it. Tks.

  • @mehrchakraborty6188
    @mehrchakraborty6188 4 ปีที่แล้ว

    For years and years I never understood this, I cannot thank you enough and God bless you!

  • @anarg229
    @anarg229 6 ปีที่แล้ว +2

    You're one of the most important people on the Earth, thank you for everything! Love from Azerbaijan

  • @herbertpayson
    @herbertpayson 7 ปีที่แล้ว +1

    Now this is what I really called TEACHER, not my professor in statistics! Thank you Brandon Foltz!

  • @kejalakshmiv3268
    @kejalakshmiv3268 5 ปีที่แล้ว +1

    I seriously cant believe 30 people disliked this video. These videos deserve crores of likes. Thanks Brandon for making stat look much simple and easier

  • @jimcampbell2367
    @jimcampbell2367 4 ปีที่แล้ว

    Very nice! I'm brushing up on the basics of statistics after a 40 year absence - and finding this a very well-paced, clear, logical presentation. Highly recommended.

  • @franding9564
    @franding9564 13 ชั่วโมงที่ผ่านมา

    thank you!!! this was actually a good video. You disected the different part of the equatio so elegantly!! THANKYOU!!!

  • @MunhuAfro
    @MunhuAfro 4 ปีที่แล้ว

    Bro, you are the Shakespeare of this stuff, the Mandela of math, the Gandhi, MLK, the Confucious or whatever mortal who ever walked this earth and graced it, James Brown, Elvis, you name them, your name should be added with the greats because you my friend, melted away so easily the clumps of difficulty that were plaguing my mind with such ease. I truly appreciate this and made a purchase of your stuff although I understood everything from these videos because people like you, they deserve the money we pay for otherwise mediocre services elsewhere. Big up to you mate. You have been crowned the don by me. The fon, the don, the godfather of these mathematics. Cheers!!!

  • @AnilJacobs
    @AnilJacobs 4 ปีที่แล้ว +2

    Absolutely stunning decomposition of Regression Equations and ways to interpret them! Thank you!

  • @freddiejefferson2187
    @freddiejefferson2187 3 ปีที่แล้ว

    This is my 3rd video and I had several, 'aha' moments. Your pedagogi is excellent. Thank you kind sir.

  • @tobbysorama
    @tobbysorama 6 ปีที่แล้ว +1

    i restarted my study (self) after a long 15 years. A great way to start. Great explanation

  • @jmc3179
    @jmc3179 3 ปีที่แล้ว

    I am a student of Machine Learning with Python and even though I can kind of apply certain concepts I cannot grasp things I can't visualize. Your videos are detailed, entertaining, descriptive and visually appealing. They do not overwhelm you with information. Keep up the good work. Love your work.

  • @jeffduffy5122
    @jeffduffy5122 7 ปีที่แล้ว

    The video is well done. One thing to mention: The amount of increase from the bill is 15 cents per dollar MINUS 82 cents. The 82 cents decrease affects the tip amount as well.

  • @arber474
    @arber474 2 ปีที่แล้ว

    I am watching this video 8 years after it was uploaded and still the best one in the platform. Great job!

  • @Cooki6Day
    @Cooki6Day 8 ปีที่แล้ว +1

    Thank you!!!! I finally understand where all these confusing symbols come from and how to calculate them. you explain thoroughly and clearly, so I will be counting on your videos for later statistic classes too!

  • @steakswans
    @steakswans 7 ปีที่แล้ว +6

    Brandon, thanks for taking the time to put all these clips together, they are incredibly helpful. Cheers mate.

    • @BrandonFoltz
      @BrandonFoltz  7 ปีที่แล้ว +1

      You are very welcome! Cheers!

    • @ireneragui1416
      @ireneragui1416 3 ปีที่แล้ว

      Thank you sir struggled with least of square now am ready for my exam🙌🙌

  • @mashsyed9808
    @mashsyed9808 8 ปีที่แล้ว +4

    best explanation of linear regression anywhere on the net! thank you so much!

  • @surajshirwant
    @surajshirwant 3 ปีที่แล้ว

    Best place to refresh the Algebra. Thanks so much.

  • @S.Carton_Esq.
    @S.Carton_Esq. 8 หลายเดือนก่อน

    I've looked at many, many online stats lectures. Most of them are a pseudo-coherent jumbled mess. It is often difficult to determine if the subject matter is the focus or the presenter. And that is being kind. Brandon's videos are organized, orderly, coherent, comprehensive, and there is no question that the material, and your understanding of it, is his overarching focus. It is the clear difference between amateurs and a professional.

  • @user-jg5ds9sr1v
    @user-jg5ds9sr1v ปีที่แล้ว

    Thank you for your devotion!! From South Korea undergraduate student 😊😊

  • @2612karthik
    @2612karthik 4 ปีที่แล้ว

    subscribed in the very first minute of the video.. this is the need of the hour for entire world.. to motivate people and positivity.. thumbs up

  • @flamboyantperson5936
    @flamboyantperson5936 6 ปีที่แล้ว

    Thank you so much. Only after completing my university today I understood regression just because of you. Thanks a ton. Please please keep making new videos on STATISTICS especially related to Analytics topics please please. Thank you so much.

  • @nadsb6170
    @nadsb6170 10 ปีที่แล้ว

    Brandon your post on stats re: linear regression and correlation has helped me so much. Your pace is slow enough to grasp and you are clear when delivering.
    Thanks a lot i have learnt much more than i thought i would.

  • @morgangonewild
    @morgangonewild 10 ปีที่แล้ว

    Where were you during my Algebra II days? You explain things so well. So patient at explaining concepts so I can understand. Thank you!

  • @SArugbyALLday
    @SArugbyALLday 9 ปีที่แล้ว +1

    Sitting here cramming for a test and your videos have been a crazy big help all night long. Very well presented and very much so appreciated!

  • @adamdanz
    @adamdanz 8 ปีที่แล้ว

    These videos are great, Brandon. I like to geek-out while doing mundane tasks like laundry or dish washing by listening to such videos to refresh my memory or fill in small gaps of understanding. Looking forward to finishing this series.

  • @paularaqeukai8818
    @paularaqeukai8818 3 ปีที่แล้ว

    Best presentation for beginners like me, I really have a better understanding now than before...God Bless you

  • @sonyarutherfurd1065
    @sonyarutherfurd1065 4 ปีที่แล้ว

    Thank you so much. Your videos are better than any other lectures or explanations I have heard. I have been in tears trying to understand regression lines. Now it is making sense.

  • @RagsYooTube
    @RagsYooTube 8 ปีที่แล้ว

    These videos are fantastic. Examples are so clear. But the cheery on top is the opening pep talk - thanks teacher : )

  • @salihcheriyaveettil2822
    @salihcheriyaveettil2822 3 ปีที่แล้ว

    I waited for the ad to complete as it can be the least I can do for such great lessons.

  • @exorbasa7598
    @exorbasa7598 8 ปีที่แล้ว

    The visual helped a lot. The step-by step calculations was outstanding. Thank you very much!!! I learned more in your presentations than the six hours in-class instructions from my statistics class.

  • @aureliohess9349
    @aureliohess9349 7 ปีที่แล้ว

    Dear Professor Brandon, you are simply "the BEST". Your lectures are really the best I´ve ever seen.

  • @josh9044
    @josh9044 5 ปีที่แล้ว

    You're very good. It's just not just that you explain well, slow, and deliberate, but little things. I'm writing this comment paused on the screen where you color-coded the deviation calculations and that was so clutch, especially for a visual learner such as myself. Really want to thank you for these videos. You're a great teacher.

  • @jamesduggan8065
    @jamesduggan8065 7 ปีที่แล้ว

    Brandon does an amazing job of unpacking difficult concepts and explaining them clearly, using real-world examples that help to drive the concepts home. Thank you!

  • @jeffcrump9364
    @jeffcrump9364 9 หลายเดือนก่อน

    The series on simple linear regression is amazing. I learned a lot from watching these videos.

  • @chitrashetty8950
    @chitrashetty8950 2 ปีที่แล้ว

    One of the best video and your way of teaching with example is so easy to understand the concepts.

  • @xOkRiSSiEbabie
    @xOkRiSSiEbabie 9 ปีที่แล้ว

    I think it's so sweet that a professor cares so much about people.. iwanna date a professor. Thank you so much Mr. Brandon Foltz!!! Very much appreciated.
    With you, I may get a B on my exams now :)

  • @Elethia441
    @Elethia441 8 ปีที่แล้ว

    I wish they used you to make stats textbooks or other visual material for courses. My textbook is ridiculously dry and complicates the whole thing unnecessarily - so much so, that I was heading for a breakdown. I can't believe how easy it is to get these concepts from your videos...Thx, and keep up the good work!

  • @mahfuzulhaquenayeem8561
    @mahfuzulhaquenayeem8561 10 หลายเดือนก่อน

    Lectures are simply - beautiful! Thanks a lot!

  • @karatish92
    @karatish92 3 ปีที่แล้ว +1

    Hi, Brandon! Your videos make me feel better, enlighten my days and just make me understand statistics so much better! Thank you soooooo much for this great course you have. I mean, I would be willing to pay money for what you are giving here for free. Wish you all the best!

  • @studentforever1242
    @studentforever1242 6 ปีที่แล้ว

    Sir, you are now in my favorite inspirational teachers' list.
    The way you connect theory to real life examples is really amazing..
    Thank you so much..

  • @nadsb6170
    @nadsb6170 10 ปีที่แล้ว

    I will definitely keep watching your videos, as i have an assignment due in the next few weeks.

  • @jessegutierrez728
    @jessegutierrez728 3 ปีที่แล้ว

    You ask for constructive suggestions: You videos are outstanding, TH-cam screws them up by placing advertisements at the bottom so that I can not read what you are writing at the bottom. I like many of your fans admire your skill - being a GREAT humanitarian. I would love to have you visit our Data Analysis Program, Texas A&M, Houston, TX.

  • @RJ-yf3qs
    @RJ-yf3qs 3 ปีที่แล้ว

    Thank you so much for giving your wisdom and time to us! I gave up this course before after many attempts. But after a few your videos, You built my confidence for statistics now. You are the best teacher I’ve seen ever. Now I made my mind to study it from your first playlist all the way to the end.

  • @gerardonieto6689
    @gerardonieto6689 9 ปีที่แล้ว

    Completed vids 1-3 and they have been very easy to follow; thanks.

  • @MrDemoz123
    @MrDemoz123 10 ปีที่แล้ว

    I thank you! I downloaded almost all of your videos and all gives me better foundation.

  • @haoran1996ify
    @haoran1996ify 6 ปีที่แล้ว

    I study econometric in university, your video has been very helpful for me and easier to understand compare to my lecturer. Thank you so much for making these content available

  • @thomasheaney4235
    @thomasheaney4235 10 ปีที่แล้ว

    Excellent job providing clarity, relevance, and meaning. I really appreciate explanation of why and the deliberate pace. Kudos.

  • @SK-gi7mc
    @SK-gi7mc 3 ปีที่แล้ว

    You are doing great job and a service to the knowledge sector. You are one such people who strive just to make the world a better place to live. Thank you Brandon!

  • @vamshikrishnamp
    @vamshikrishnamp 10 ปีที่แล้ว +2

    One word for your videos
    that is "Excellent"

  • @TAP7a
    @TAP7a 5 ปีที่แล้ว

    The starts of these videos are some of the most positive and affirming things on the internet

  • @ltbhupinder1811
    @ltbhupinder1811 7 ปีที่แล้ว +8

    you are just incredible...god bless you

  • @alial-ansari8815
    @alial-ansari8815 4 ปีที่แล้ว +1

    I really salute you sir for your hard work !!!

  • @amitkumar5579
    @amitkumar5579 2 ปีที่แล้ว

    Thanks a lot for your efforts to share the knowledge and to let us learn & understand statistics in most easiest and effective way.

  • @petersuson8852
    @petersuson8852 4 ปีที่แล้ว

    Excellent teacher. Very patient, encouraging, clear and really delve into the underlying principles. Thank you very much.

  • @MagnusAnand
    @MagnusAnand 8 ปีที่แล้ว +12

    Excellent video!

  • @carolynlaw
    @carolynlaw 9 ปีที่แล้ว

    Thank you so much!!! I have really been struggling with regression these days...Your videos are so clear.... they have offered really great help to me!!!!!! Salutes to you!

  • @GinaBermudo
    @GinaBermudo 8 ปีที่แล้ว

    Thank you so much, Brandon, for sharing your gift of teaching. You make statistics sound so simple. I used your videos as reference for my Linear Regression report. It was a great help. More power.

  • @rajanvk939
    @rajanvk939 3 ปีที่แล้ว

    such a wonderful concept explained in a simple and beautiful way.

  • @didacartes2019
    @didacartes2019 10 ปีที่แล้ว

    Thanks again. Very clear exposition and excellent delivery.

  • @DarkAng3lyka1
    @DarkAng3lyka1 5 ปีที่แล้ว

    I needed so much that first minute...

  • @thundergirl3600
    @thundergirl3600 5 ปีที่แล้ว

    you are the only one who could make me understand this. you are amazing. thank you.

  • @myramacarulay8715
    @myramacarulay8715 4 ปีที่แล้ว

    You always explain the fundamental concepts in simple and detailed manner which makes learning more interesting and motivating. Your videos are very helpful. Thank you very much.

  • @heel5696
    @heel5696 4 ปีที่แล้ว

    The best teacher ever! Encouraging and incredibly helpful videos! THANKS A LOT!!!

  • @davidainley2706
    @davidainley2706 8 ปีที่แล้ว

    thanks for breaking things down at the most granular! it really is helpful--these videos have helped me out *so* much more than my classes.

  • @zakiziane7151
    @zakiziane7151 5 ปีที่แล้ว +1

    May God bless you, sir, it is a very simple, and a useful method to teach.

  • @checktube007
    @checktube007 6 ปีที่แล้ว

    Wow!!!! What an amazing way of teaching!!! Thank you Brandon for a wonderful video.

    • @checktube007
      @checktube007 6 ปีที่แล้ว

      By any chance do you post videos for machine learning???

  • @kaylakummerlen1589
    @kaylakummerlen1589 4 ปีที่แล้ว

    A wholesome math KING!!!!! Not the hero I deserved but the hero I needed!!

  • @madhusudhantyagi3470
    @madhusudhantyagi3470 10 ปีที่แล้ว

    Simply Superb+... Very sequenced and clear explanation; Its really worth.
    Thanks Brandon and big Kudos

  • @paulakent9144
    @paulakent9144 7 ปีที่แล้ว

    Thank you for putting these together. Very helpful! I like the pace and repetition. I also appreciate how you start with affirmation.

  • @snowzack7386
    @snowzack7386 4 ปีที่แล้ว

    well done,really easy to understand .i assume that you have done a great job to make people little bit educated

  • @simeonjoseph5580
    @simeonjoseph5580 10 ปีที่แล้ว

    All the videos are great and you are a great teacher. Keep making them !!!!

  • @mahmodmilhim1729
    @mahmodmilhim1729 8 ปีที่แล้ว

    Understandable For all the Levels Just Unique !

  • @normanbataille8865
    @normanbataille8865 3 ปีที่แล้ว

    You should have 500 million subs here, this is good stuff, thank you

    • @BrandonFoltz
      @BrandonFoltz  3 ปีที่แล้ว +1

      If you were my only subscriber and it made the difference, it's worth 500 million.

    • @normanbataille8865
      @normanbataille8865 3 ปีที่แล้ว

      @@BrandonFoltz That makes the source of the knowledge greater. Thanks for putting this out there for us. Keep doing the amazing responsible educational work you are doing. On behalf on those 500 million, I thank you.

  • @AdvocatusDiaboli92
    @AdvocatusDiaboli92 8 ปีที่แล้ว

    Hi, Brandon. Thanks for your videos. I have my degree in mathematics, however, it's been a good 20 years since I've had a stats class.this was an excellent refresher for me. Information was very relevant without it being overly simplistic. (I also watch them at 1.25 because I'm hardcore like that!) I have a suggestion for multiple part series videos. Adding an annotation with a link to skip the introduction helps to reduce the guess work, redundancy and some time for those who have the attention span to binge watch. ;) Thank you!

  • @sanketbojewar5398
    @sanketbojewar5398 5 ปีที่แล้ว

    You have made learning FUN! kudos!!!

  • @johannaileka3701
    @johannaileka3701 5 ปีที่แล้ว +2

    you are the best. thanks for the first words of encouragement

  • @preganpillay5217
    @preganpillay5217 3 ปีที่แล้ว

    Amazingly simple - You are a genius

  • @graceamante233
    @graceamante233 8 ปีที่แล้ว

    Many thanks for ALL your videos!

  • @kanyewest132
    @kanyewest132 9 ปีที่แล้ว

    Awesome explanation of a topic that is known to many but really understood by a few. Thank you very much for your lecture series on regression.

  • @bingzhiyan9489
    @bingzhiyan9489 10 ปีที่แล้ว

    This is so helpful, I watched all 4 parts. Wish I have a lecturer like you. Thanks so much