Statistics 101: Linear Regression, Fit and Coefficient of Determination

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  • Опубліковано 30 січ 2025

КОМЕНТАРІ • 524

  • @rohitekka2674
    @rohitekka2674 3 роки тому +27

    More than 7 years later, and your videos still continue to bring wonders. Thank you!

  • @Yu-Xiao-2028
    @Yu-Xiao-2028 3 роки тому +5

    I don't skip your intro because I needed that positivity in my life right now

  • @antoniogiuseppefaietalasar6849
    @antoniogiuseppefaietalasar6849 9 місяців тому +3

    This is the gold standard for statistic teaching. Indispensable.

  • @wbspangie
    @wbspangie 8 років тому +95

    Stared at the book for hours yesterday and understood nothing. Watched this videos and 20 minutes later it all makes sense! Your are amazing! Thank you!

    • @MegaApostolicMan
      @MegaApostolicMan 8 років тому +2

      I had the same experience. Looking at the book, and the Professor video. I just could not make sense of it, until I see these videos.

    • @pushkarmahajan9294
      @pushkarmahajan9294 2 роки тому

      SAMEEEEEEEEE ;_;

  • @RoboticComplexity
    @RoboticComplexity 4 роки тому +1

    I used to get so frustrated I would cry trying to read my textbook. I passed Linear Regression I with a B because I watched your videos. Now on to LR II and I'm refreshing my memory. Thanks.

    • @jackeroo75
      @jackeroo75 4 роки тому

      Keep it up and be positive in yourself and you will get better and better!

  • @annatsukiya
    @annatsukiya 9 років тому +77

    now i know what's the use of SSE, SST and SSR.. during my studies, lecturers just tells us to memorize it without explain the why we use those in steps of making regression table.. Thanks Brandon, i'm looking forward to learn Multiple Regression next..

  • @gatr12isthebest
    @gatr12isthebest 8 років тому +2

    I got more knowledge in intervals of 20 mins with you, than in a university level class of 1hour of which I have to pay for. Says a lot about my country's education system. Great job.

  • @MuhammadAli-yq7sd
    @MuhammadAli-yq7sd Рік тому

    After nine years, your videos are much valuable than ever. Who knows who knows who will take advantage of them after another years. You can't imagine how young I was.

  • @renewmasonry8176
    @renewmasonry8176 7 років тому

    brandon,
    At 56 years old, I have decided to return to school...I'm taking elementary statistics, starting on 30 days, but have been pre studying to get a jump on things. I haven't done any math in 30 years. I enjoy your teaching style, and what shines through is that you truly care. You're a great coach!!

  • @BaldwinThamaga
    @BaldwinThamaga 10 років тому

    It's not often that one can scroll down a list of comments on UA-cam without bumping into a single negative one. Goes to show how helpful your videos Brandon.
    Thank you.

  • @ireneborgen8035
    @ireneborgen8035 5 років тому +7

    I finally understood what SSE and SSR are... and what "fit the data" is... amazing!

  • @samanthadunley
    @samanthadunley 4 роки тому +5

    I've learned more in this 30 minutes video than my 2 hour lecture at school!!! I really appreciate the time and effort you put into these videos! Thank you so so so so so much!

  • @LRZ2628
    @LRZ2628 2 роки тому +2

    Thank you so much for this! After 7 years away from Master's-level statistics, I'm earning my PhD and totally stuck on the path of regression, exploratory and confirmatory factor analysis. Your videos are an absolute life-saver!

  • @25lobo
    @25lobo 10 років тому

    This serie of tutorials is the best thing I have ever seen about linear regression! Show!

  • @PinkFloydTheDarkSide
    @PinkFloydTheDarkSide 8 років тому

    I paid $5k for stats class in my program and studying it for a year and today by this video I understood what R square actually means and how does it explain the variance. Thank you from the core of my heart.

  • @sunra7712
    @sunra7712 7 років тому +68

    best teacher since Sal Khan

    • @BrandonFoltz
      @BrandonFoltz  7 років тому +36

      Very kind of you to say. Sal is a HUGE hero of mine bringing education to everyone.

    • @Qornv
      @Qornv 5 років тому +5

      @@BrandonFoltz While Sal is doing an incredible job, and has helped me as well several times, in my opinion you explain topics better, maybe because you're focusing on mainly statistics while Sal tries to cover as much as possible

    • @juliusbenkoe5373
      @juliusbenkoe5373 4 роки тому

      Imho on par with Sal. Thanks a lot for lifting the fog!!!

    • @LividLibruh
      @LividLibruh 4 роки тому

      This channel the best in my opinion.

    • @juliusbenkoe5373
      @juliusbenkoe5373 4 роки тому

      @@LividLibruh that's absolutely true!

  • @goldiekaur928
    @goldiekaur928 9 років тому +34

    hey Brandon. thanks a lot for posting such brilliant videos..I salute you for teaching in such depth and clarity that too free of cost..people like you make this world a better living place.

  • @Pankajkumar-dw1fu
    @Pankajkumar-dw1fu 6 років тому +29

    I always like the motivation you give at the start of every lecture.

  • @ilhamhamza10
    @ilhamhamza10 10 років тому

    Without a doubt the best presentation I have ever seen on Linear Regression! This video sums up the whole theory behind the topic and completely puts my professors to shame!! Well done Good Sir!

  • @ka1pana
    @ka1pana 4 роки тому

    Merely saying "You are a great teacher" does not do justice to your skill ! This is the only series I have been able to follow and keep up and return to, in a very long time. Thank you !
    Also, thanks a lot for using "he or she", "waiter or waitress" wherever possible. Makes even more senses in a statistics class :-)

  • @bruschetta3089
    @bruschetta3089 6 років тому

    And five years later you are still the person who explain the best!!

  • @sketchstudios05
    @sketchstudios05 8 років тому

    "Thank you " word is not enough to express how much thankful I am to you. BIG THANKS, your video explain LR in very simple way.

  • @fridaysilomba8444
    @fridaysilomba8444 4 роки тому

    I have done this from my undergraduate, I started it in my First Stage at Masters and Never knew what really goes on until after Watching your videos from The basics.. I wish you could see how Fast I answered The Class Tutorial Question.. Thanks and Many Thanks.. You are simply the Best

  • @eternity3061
    @eternity3061 7 років тому

    The fourth and the last video, and I know the basics of linear regression. The best part is that even if I watch the videos over 4-5 days, I don't feel any disconnect. The short review/references to the previous videos are really helpful. Thanks Brandon for all the hard work.

  • @cccspwn
    @cccspwn 5 років тому

    Phenomenal, a good teacher is worth his or her weight in gold, you are worth your weight in platinum!

  • @donharris8846
    @donharris8846 2 роки тому

    This video should be required for ALL basic stats courses. From elementary to grad school this is, hands down, the best explanation to help people gain an intuitive sense of what a regression truly is. Very well done.

  • @varunbhargava15
    @varunbhargava15 7 років тому

    The best tutor I have came so far for statistics, you make things look so simple to understand.
    Thanks a ton for simplifying the things for us.

  • @sienna367
    @sienna367 6 років тому

    Thank you!!!!!!!! I'm a fresher in data science! And your videos are *MAGIC*!!!!!!! I've finally understood a lot of topics in regression... thank u!!!

  • @sandeepdesai5378
    @sandeepdesai5378 3 роки тому

    Best explanation of what SSE, SST and SSR mean anywhere on Internet!! Thank you. You have a gift of an awakener!

    • @BrandonFoltz
      @BrandonFoltz  3 роки тому

      Glad it was helpful! If you get those down, all of regression opens up. Keep at it!

  • @vidyanarayanan3872
    @vidyanarayanan3872 6 років тому

    at age of 40, i am trying to understand stats to become a data scientist. These videos are assuring me that i will be able to understand stats easily. thanks a ton brandon!

  • @sarehpanjeh724
    @sarehpanjeh724 6 років тому

    Thank you, Brandon Foltz. You are the best teacher I 've ever seen.

  • @eszterarato1490
    @eszterarato1490 8 років тому +1

    All Simple Linear Regression videos are excellent learning materials. It feels so great to be confident about this topic, finally. I am really grateful.

  • @samdavepollard
    @samdavepollard 7 років тому

    This series of 4 videos contain the best explanation of this material that I've ever seen. (And I say that as a Maths graduate and a Maths teacher.)
    I'm guessing those 10 down votes are Professors, irritated that someone's doing their job way better than they are. :-)
    Thank You for sharing your knowledge in such an engaging way.

  • @mohammedalswailem3868
    @mohammedalswailem3868 7 років тому

    Thank you for sharing your knowledge with the world. You are making the world a better place with each video you make and each view you receive. I had a rough time catching up to the lectures and you made it easy. I wish I have found your channel earlier in the semester not two days before the final. Thank you again

  • @sumanthgoje6864
    @sumanthgoje6864 5 років тому +2

    Brandon ...you deserve standing ovation ...thanks much ...

  • @iidamakikallio8599
    @iidamakikallio8599 8 років тому

    You sir are eliminating so much stress from the planet. You deserve a public health honor of somesort. Thank you SO MUCH. Absolutely fantastic pedagogical skills. You rock. Biggest of thanks.

  • @markzhang8742
    @markzhang8742 10 років тому +12

    Best regression class I have ever had!

  • @gustavomello278
    @gustavomello278 7 років тому

    May god or whatever you believe the most bless you. I cannot express how much grateful I am for all your videos. Positive message meets amazing teaching.

  • @bibekanandabhattacharjee952
    @bibekanandabhattacharjee952 2 роки тому

    Very well explained. The pace of the lecture suits us especially to those who are not so fluent in English in accents other than their own. Thanks.

  • @petragonzalez7868
    @petragonzalez7868 3 роки тому

    You're a super start. I feel frustrated because after watching your videos I feel I have been fooled at school. How much simpler would have all been should we have been explained in such terms? It is mind blowing.

  • @tracygundy4038
    @tracygundy4038 10 років тому

    Thank you really much Brandon! I am an international student doing a master program and this videos are very useful for me. You make difficult concepts easy to understand (even for a native-spanish speaker with a not so advanced English), and that's what makes a teacher outstanding. Thanks.

  • @mks07866
    @mks07866 8 років тому

    This is one of the best training videos I have ever seen. I am taking a applied analytics frameworks course at Columbia University and this course really helped me to understand the concepts before I jump into more advanced topics. Brandon, can't thank you enough!!

  • @maryhabashy8663
    @maryhabashy8663 4 роки тому

    FABULOUS!!! This was a great visual representation of Simple Linear Regression! As a visual learner, this made this concepts much more approachable. Thank you Brandon.

  • @ol7668
    @ol7668 5 років тому +2

    Such a great lecture series that I've ever had on UA-cam. Watching all ads for my tuition.

  • @shivakumarkeshavan5171
    @shivakumarkeshavan5171 5 років тому +1

    Brandon - I have gone through a few videos of regression and I love the way you have simplified things + a beautiful pattern of beginning with a wonderful quote, pictorial representation and ending by wishing everyone the best - Thank you!

  • @zoebeary
    @zoebeary 10 років тому

    Can't thank you enough! Having to challenge an old stats course exam in preparation for my Master's! Your approach and genuine love for teaching is getting me through!!!! Fingers crossed!

  • @KirillBezzubkine
    @KirillBezzubkine 5 років тому

    With every new video i watch i worship your tut abilities and effort

  • @omarflores527
    @omarflores527 9 років тому +11

    Hi Brandon,
    You are doing an awesome job man. Thanks for taking it slow on these concepts and providing a well thought out presentation with applicable examples. Trying to pass research comp exams for my Ph.D. in education and this is incredibly helpful! Thanks again, keep up the great work...

  • @manjuk8363
    @manjuk8363 6 років тому

    These are the ideal set of videos for even a layman to understand stat in and out! Thank you very much for the videos

  • @edwardmoor6538
    @edwardmoor6538 10 років тому +2

    Your a great teacher. Made regression so much easier for me. I really appreciate the time you took to upload these!

  • @sarojsasmal
    @sarojsasmal 6 років тому

    I love your presentation, the way you begin your tutotial, especially the first few lines in the very beginnning really keeps me motivated. Thanks a lot.

  • @rtong12
    @rtong12 10 років тому

    You are a very gifted teacher. Love the slides that you built. I've heard this topic explained so many times and I think this is the first time I truly understand how R square is calculated. Thank you!

  • @darcimartindale4861
    @darcimartindale4861 9 років тому

    You're actually saving my life! Thank you so much for explaining in one video what my prof couldn't do in 3 weeks!

  • @sunkyongkim2886
    @sunkyongkim2886 5 років тому

    I cannot even find proper words to express my gratefulness to thank you sir. Thank you for the clear explanation. It feels like you throw a rope for me to escape from a lonely and dark underworld hole of statistics.

  • @somashekharhottin6091
    @somashekharhottin6091 5 років тому

    This is the place to learn Statistics stuff in very short and sweet time. thank you very much

  • @millazilla3811
    @millazilla3811 7 років тому

    you rock!!! I wish all online stats classes were like this. I hope you continue making videos you stats wizard!!

  • @Miamiheat434
    @Miamiheat434 10 років тому

    I am passing my Intro to Stat Analysis class b/c of you and your terrific videos...thank you from the bottom of my heart.. I look forward to seeing your Multiple Linear Regression ones..

  • @taraplachowski9774
    @taraplachowski9774 6 років тому

    This truly makes linear regression logical and understandable, rather than memorizing steps in SPSS. I now understand interpretation of social science statistics in a way I have not after 4 stats classes in my doctoral degree. Thank you! I will be sharing these videos with all my fellow doc students! Looking forward to MR!

  • @JoshFlorii
    @JoshFlorii 7 років тому +6

    Amazing series. 8 years after going over this in highschool I finally understand it.

  • @jelenamiokovic5658
    @jelenamiokovic5658 7 років тому

    I have never seen a better teacher in my life!! you are AMAZING!!! keep it up!

  • @ozlevy4057
    @ozlevy4057 8 років тому

    Thank you Brandon ! very straight forward and clear. Please keep on making these videos to help those who need it.

  • @biswashgauchan5644
    @biswashgauchan5644 10 років тому +1

    Brandon, the video is just too good. I have benefited a lot in understanding the basics of regression. Excellent work and great service to education

  • @racheljordan2020
    @racheljordan2020 9 років тому +1

    After searching for two years for good statistics videos I have finally found what I was looking for.
    Thanks so much for these videos :)

    • @maliksumit1
      @maliksumit1 9 років тому +1

      Rachel Jordan I don't want to be rude but in 2 years you could have master statistics itself let alone Regression.You Need to put more effort from your end.Waiting won't help.

  • @maincharacterNRG
    @maincharacterNRG 4 роки тому

    You are a fabulous teacher! Wow. I am so impressed with your patience, your positivity and your clarity in explaining these concepts. I am taking stats this term and these videos have been an invaluable supplement to my course materials. I am so grateful to you! Thank you for everything.

  • @fahadfardan
    @fahadfardan 7 років тому

    You are a life saver. I really like you videos. Please keep creating these videos and build you great STAT library.

  • @fwlanger
    @fwlanger 9 років тому +1

    Brilliant videos! I've just finished watching all your linear regression lessions, and I can certainly tell you are making my Biostats studies much easier and pleasant! Huge thanks from Brazil!

  • @jinghua7561
    @jinghua7561 5 років тому

    It is the best online course I have ever watched. Thank you!

  • @EllenHallward
    @EllenHallward 7 років тому

    Thank you so much! These videos are so helpful for me.
    Now I understand simple regression and I can't even believe it. I'm not native English speaker but everything was clear for me. Thanks a lot!
    Wish you all the best.

  • @ritchiebrowne4629
    @ritchiebrowne4629 4 роки тому

    This is brilliant Brandon, just watched all videos on Linear Regression and you explained more in 2 hours than my college lecturer did over 3 weeks

  • @booyaka316
    @booyaka316 7 років тому

    I'll stick up with your channel mister! I've only seen the linear regression videos, but you are such an amazing teacher, keep up the good work! Regards from Mexico

  • @mirimar69
    @mirimar69 10 років тому +2

    Thanking you for all your effort Brandon. Clear and succinct presentations. As a mature learner I was putting off this seemingly dry topic but no more! I will continue persevering Thank you and season greetings from down under.

    • @BrandonFoltz
      @BrandonFoltz  10 років тому

      mirimar69 Awesome! Thanks for very nice comment and I am glad you found the fire to learn what definitely can be a dry topic. Season's Greetings to you as well from the cold North!

  • @fysiologieee
    @fysiologieee 8 років тому +3

    we need more people like you that do these good things for free ;)

  • @nathanboeger9329
    @nathanboeger9329 6 років тому

    BTW: I am not new to stats but someone doing research and these videos are great for taking a refresher. They help me analyze these methods and formulas and actually provide some insights...

  • @Hellwilczek666
    @Hellwilczek666 4 роки тому

    Dude, thanks to YOU I finally understand this topic. You are my saviour, thank You for helping :)!

  • @jazaysurfclub2568
    @jazaysurfclub2568 8 років тому

    Brandon, all the students in artificial intelligence must do you a tribute, you are the king dude ! thanks ! ..i highly recommande all the fox, to see the videos of linear regression before doing a step in machine learning. Thanks King Brandon.

  • @srishtishekhar8789
    @srishtishekhar8789 4 роки тому

    these. videos are old but i m referring to these in 2020 because these are the best ones i have found . hope to connect with you! thanks, Brandon!

  • @noazamstein5795
    @noazamstein5795 3 роки тому

    You absolutely *must* do advanced statistics (202, 303, the works!) as well. These are by far some of the best explanations I have come across!

  • @santoshpandey23
    @santoshpandey23 10 років тому +8

    I actually clapped at the end the 4th video...Thanks a lot Brandon Foltz..going back to basic was so exciting...

  • @MelissaCirtain
    @MelissaCirtain 8 років тому

    Very happy to find a good overview on simple linear regression. I didn't watch any of your videos outside of these 4 parts, and I am having to go figure out what the SSR, SSE, and SST are all about. I presume those are covered in another series of lectures. That said, this really is a great set of videos, thanks for putting in the time.

  • @vivayk
    @vivayk 8 років тому

    u made me understand regression in 90 mins..awesome work!! and thanks a bunch

  • @davidgl1988peru
    @davidgl1988peru 4 роки тому +1

    You are INCREDIBLE Brandon Foltz. Thank you so much!

  • @stevenws413
    @stevenws413 10 років тому

    I have always struggled with the concept of squaring values in a regression model but your method of visualizing them as... well... squares, turned the light bulb on for me! Thanks!

  • @kostasvarvatsoulis5251
    @kostasvarvatsoulis5251 4 роки тому

    I am from Greece. Thank you so much for this video

  • @emilyconley4967
    @emilyconley4967 9 років тому +2

    Another exemplary video. Thanks, Mr. Foltz, you are a wonderful teacher!

  • @redserpent
    @redserpent 6 років тому

    Amazing series. I had tried for several years to understand and fit together both the notation and the concept. Well done and thank you. Clearly a share URL.

  • @KVKR03
    @KVKR03 5 років тому

    You are an amazing teacher.
    It takes lot of patience to make this kind of videos. Your videos are literally superb. Explanation in these videos is very very good.
    Hats Off to you sir ......

  • @maxinelyu2693
    @maxinelyu2693 4 роки тому

    I'm so lucky to have started learning stat after these videos were born!

  • @psfparada
    @psfparada 7 років тому

    I thought I would never understand Stats and to be honest I was just aiming to pass. Now I get it, I'm starting to like it! Thank you so much. Greetings from Chile.

  • @annnguyen2886
    @annnguyen2886 10 років тому

    your videos are ABSOLUTELY WONDERFUL!! WOW!!! Completely made sense after my stats lecture :)

  • @kliefgratela1761
    @kliefgratela1761 2 роки тому

    This really helped me a lot in my PHD-MATHED class. What an amazing masterpiece. Thank you so much.

  • @amonginrose2331
    @amonginrose2331 3 роки тому

    Statistics has literally become so easy to understand thks alot

  • @hodgemama
    @hodgemama 9 років тому

    you are the angel of all angels. such clear explanations!

  • @saquibalikhan7191
    @saquibalikhan7191 8 років тому

    One word, awesome! Awesome = Extremely neat, structured, organised, positive, patient explanation i.e. a lot of effort!
    Thanks..keep it up..

  • @naageshk1256
    @naageshk1256 Рік тому

    i think your explanation should be the WORLD'S BEST .. Great efforts ..😊😊😊💯💯💯

  • @elovyn7210
    @elovyn7210 10 років тому

    Watched all four parts of linear regression, fort the first time I feel like I really understand it. It's like I don't even have to memorise the formulas actively, because it is just logical now. Thank you fort those videos!

  • @nooraghanawakht7799
    @nooraghanawakht7799 9 років тому

    Greatly thankful for your nice work done on stat. Watched almost all of your series and has been very helpful.

  • @nozepark5555
    @nozepark5555 3 роки тому

    8 years later and still this video saves the day!

  • @shailendrakumarsingh4342
    @shailendrakumarsingh4342 6 років тому

    Brandon, You are simply amazing, superb explanation! Before watching your videos, these statistical signs terrorized me, really scaring, but now, when i see them, i say "i can deal with you". Millions of thanks! One request: Could you please make some videos on STRUCTURAL EQUATION MODELING (SEM)! Thanks a lot!

  • @empaulstube6947
    @empaulstube6947 4 роки тому

    Thank you Sir Brandon!!! I have encountered this Regression topic many times in my teaching and studying career. But this is the only time I learned.

  • @ranjithpals
    @ranjithpals 5 років тому

    Great job Brandon! You are the best I have come across explaining the math behind the algorithm.