Statistics 101: Linear Regression, The Least Squares Method
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
Пікірлер: 463
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!!
@fitfirst4468
2 жыл бұрын
such a cry baby
Literally just taught me 3 weeks of lecture in 28 minutes
@davidhill3618
3 жыл бұрын
Very helpful
@GhislainRutayisire
3 күн бұрын
exaclt what im looking for LOL
You're the best, you should get an award or something.
@othmanmuhamad6804
5 жыл бұрын
Lux aqashah
@planetblix
4 жыл бұрын
If KZread did awards ....
@utubemania9079
4 жыл бұрын
Agree
@IamChristDriven
4 жыл бұрын
like my tuition...
@me_zooz614
4 жыл бұрын
Agree
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!
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 !!! :-)
it's sweet how he starts his videos with motivational quotes and talks about how basically we all can achieve
Anyone who gave this a thumbs down, is a teacher who isn't as good as you thanks man!
@Muzyk89
5 жыл бұрын
Maybe their screens were upside down as they were liking it.
@jonathandavidboadamendoza3161
3 жыл бұрын
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
Thanks for the first minute of encouragement, I needed that.
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!
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!!!!
@johnsonkariuki2771
7 жыл бұрын
This guy the best teacher I have met!
@sadhanashukla
6 жыл бұрын
same here.
I’ve struggled with math all of my life and this intro almost made me cry... thank you for believing in me
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!
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!
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!
Hi Brandon...u just made linear regression look like a piece of cake!!!
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.
Absolutely stunning decomposition of Regression Equations and ways to interpret them! Thank you!
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.
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!
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.
For years and years I never understood this, I cannot thank you enough and God bless you!
best explanation of linear regression anywhere on the net! thank you so much!
Thanks for the videos! your presentations are very well done, and your explanations very intuitive!
@BrandonFoltz
8 жыл бұрын
+bananajoe700 Woot! Thank you so much for watching and learning.
"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!
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.
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..
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.
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.
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.
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!
Brandon, thanks for taking the time to put all these clips together, they are incredibly helpful. Cheers mate.
@BrandonFoltz
7 жыл бұрын
You are very welcome! Cheers!
@ireneragui1416
3 жыл бұрын
Thank you sir struggled with least of square now am ready for my exam🙌🙌
Now this is what I really called TEACHER, not my professor in statistics! Thank you Brandon Foltz!
I am watching this video 8 years after it was uploaded and still the best one in the platform. Great job!
Thank you for putting these together. Very helpful! I like the pace and repetition. I also appreciate how you start with affirmation.
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.
You're one of the most important people on the Earth, thank you for everything! Love from Azerbaijan
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.
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!
i restarted my study (self) after a long 15 years. A great way to start. Great explanation
Where were you during my Algebra II days? You explain things so well. So patient at explaining concepts so I can understand. Thank you!
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!
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.
The best teacher ever! Encouraging and incredibly helpful videos! THANKS A LOT!!!
These are EXCELLENT. Thank you for taking the time to put these together.
These videos are fantastic. Examples are so clear. But the cheery on top is the opening pep talk - thanks teacher : )
Great work on all of your videos. You makes statistics much easier to digest and process. Keep up the good work!
Excellent teacher. Very patient, encouraging, clear and really delve into the underlying principles. Thank you very much.
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!! 🙌
Excellent job providing clarity, relevance, and meaning. I really appreciate explanation of why and the deliberate pace. Kudos.
The series on simple linear regression is amazing. I learned a lot from watching these videos.
Best videos to learn in a very comprehensive way without any hassle.
Dear Professor Brandon, you are simply "the BEST". Your lectures are really the best I´ve ever seen.
You're amazing! Thank you so much - Like every time I had a question you answered it the very next minute. THANK YOU!
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
One of the best video and your way of teaching with example is so easy to understand the concepts.
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.
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.
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.
Best place to refresh the Algebra. Thanks so much.
One word for your videos that is "Excellent"
Thank you for beginning the videos with words of encouragement, it really is very helpful. You are such a nice human 😊
The starts of these videos are some of the most positive and affirming things on the internet
uh thank you so much! I love the tempo, the sound of your voice is very soothing but also every word holds meaning, so it's great to focus. I loooove the color coding, as I do it myself all the time and it makes it easier for me. Unfortunately my teacher uses different letters for variables, but I figured out how to translate what you present, so I should be fine. Uh thank you again
Hi Brandon, thank you so much. The explanations are very clear and you made everything looks so simple. You are the best!!
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.
you are the only one who could make me understand this. you are amazing. thank you.
This is my 3rd video and I had several, 'aha' moments. Your pedagogi is excellent. Thank you kind sir.
Thanks you very much for your time, your dedication and the heads up! Great work. It's been very helpful!
Thanks again. Very clear exposition and excellent delivery.
Completed vids 1-3 and they have been very easy to follow; thanks.
I thank you! I downloaded almost all of your videos and all gives me better foundation.
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!
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
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!
you are just incredible...god bless you
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.
Lectures are simply - beautiful! Thanks a lot!
Thank you so much for these videos!!! Your work will help so many people understand statistics.
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
All the videos are great and you are a great teacher. Keep making them !!!!
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
Brilliant, simplified explanation! Really helps me understand :)
You have made learning FUN! kudos!!!
Thank you Brandon. Nicely explained the key concepts..Your explanation is a great refresher for me on these concepts!
Many thanks for ALL your videos!
Best presentation for beginners like me, I really have a better understanding now than before...God Bless you
Amazing video! You are so much better at explaining this topic then my instructor is! Keep up the great videos.
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!!!
you are the best. thanks for the first words of encouragement
This is really helpful for my Econometrics class! Thank you!
I needed so much that first minute...
You're videos are fantastic and getting me through my econometrics module!!!
Methodical is helping me out yrs beyond creation. Thank you.
Great video! Thank you for the time you devote to making these. They are very helpful.
such a wonderful concept explained in a simple and beautiful way.
May God bless you, sir, it is a very simple, and a useful method to teach.
Excellent video!
Thanks a million Brandon, you make econometrics so much fun!
Simply Superb+... Very sequenced and clear explanation; Its really worth. Thanks Brandon and big Kudos
Awesome job Brandon! ...as always!