Statistics 101: Linear Regression, Fit and Coefficient of Determination
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- Опубліковано 26 лип 2024
- This Statistics 101 video is the next in our series about Simple Linear Regression. In our last three videos, we talked about the very basics of regression and introduced other fundamental concepts like the algebra of lines, general patterns to look for on a scatter plot, and the least-squares method.
In this video, we are going to learn to evaluate how well a regression line fits the data it models. It is important to note that a regression model is unique to the data it represents. Adding or changing data points will most certainly change the regression model. The model is also only valid for the range of data points under analysis. It is not proper to extrapolate above or below the data being evaluated.
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
More than 7 years later, and your videos still continue to bring wonders. Thank you!
I don't skip your intro because I needed that positivity in my life right now
This is the gold standard for statistic teaching. Indispensable.
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!
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.
SAMEEEEEEEEE ;_;
I finally understood what SSE and SSR are... and what "fit the data" is... amazing!
I always like the motivation you give at the start of every lecture.
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..
same here.... hahaha
same !
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.
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.
Keep it up and be positive in yourself and you will get better and better!
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!
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!
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.
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.
Agreed :)
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.
best teacher since Sal Khan
Very kind of you to say. Sal is a HUGE hero of mine bringing education to everyone.
@@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
Imho on par with Sal. Thanks a lot for lifting the fog!!!
This channel the best in my opinion.
@@courtneywilkerson6131 that's absolutely true!
Phenomenal, a good teacher is worth his or her weight in gold, you are worth your weight in platinum!
Best regression class I have ever had!
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!!
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.
Brandon ...you deserve standing ovation ...thanks much ...
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.
I actually clapped at the end the 4th video...Thanks a lot Brandon Foltz..going back to basic was so exciting...
"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.
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!
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!
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.
Amazing series. 8 years after going over this in highschool I finally understand it.
You are INCREDIBLE Brandon Foltz. Thank you so much!
And five years later you are still the person who explain the best!!
All Simple Linear Regression videos are excellent learning materials. It feels so great to be confident about this topic, finally. I am really grateful.
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!!!
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!!
Such a great lecture series that I've ever had on UA-cam. Watching all ads for my tuition.
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
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.
Best explanation of what SSE, SST and SSR mean anywhere on Internet!! Thank you. You have a gift of an awakener!
Glad it was helpful! If you get those down, all of regression opens up. Keep at it!
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...
thank you so much! you are doing a great job!! - you explain so well.
we need more people like you that do these good things for free ;)
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!
You just saved one desperate Psychology student, thank you.
you rock!!! I wish all online stats classes were like this. I hope you continue making videos you stats wizard!!
You're actually saving my life! Thank you so much for explaining in one video what my prof couldn't do in 3 weeks!
Thank you so much Brandon. I'm taking a grad-level stat course without any basic stat knowledge and your videos have been life-savers!
Your a great teacher. Made regression so much easier for me. I really appreciate the time you took to upload these!
OMG, my textbook writers must be sadists! This makes so much more sense!
Man no kidding
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!
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.
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.
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.
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.
Another exemplary video. Thanks, Mr. Foltz, you are a wonderful teacher!
GOD BLESS YOU SIR I LOVE YOU I WILL PASS THAT TEST BECAUSE OF YOU
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 :-)
I have never seen a better teacher in my life!! you are AMAZING!!! keep it up!
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!
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.
These are the ideal set of videos for even a layman to understand stat in and out! Thank you very much for the videos
Thank you Brandon ! very straight forward and clear. Please keep on making these videos to help those who need it.
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.
With every new video i watch i worship your tut abilities and effort
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.
This serie of tutorials is the best thing I have ever seen about linear regression! Show!
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
Thank you, Brandon Foltz. You are the best teacher I 've ever seen.
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.
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.
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!
Finally finally finally I understand this! I'd been struggling for YEARS 😭
It is the best online course I have ever watched. Thank you!
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.
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!
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..
I liked and subscribed immediately when it said "ITS A TALE OF TWO LINES"!! Great Explaination
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!
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.
These lessons will always be relevant! Thank you for these breakdowns!
Dude, thanks to YOU I finally understand this topic. You are my saviour, thank You for helping :)!
WOW! I was amazed to finally understand why we use linear regression! Thank you!
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
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
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.
I'm so lucky to have started learning stat after these videos were born!
Thank you so much, Brandon! This is an excellent explanation of what linear regression is!
You're a life saver my friend!
Thanks!!
Great job Brandon! You are the best I have come across explaining the math behind the algorithm.
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
This is the place to learn Statistics stuff in very short and sweet time. thank you very much
Sir you should make more videos, you are one of a kind! Since the demand for data analytics are becoming more extensive, it would be a blessing to have such a great teacher like you to guide us :')
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.
After watching all your videos on simple regression , i am definitely more comfortable with the concepts now and can start working on quantitative methodology for my thesis. Thanks so much! You've done a great job at breaking things down such that it's so easy to follow. Subscribed :)
your videos are ABSOLUTELY WONDERFUL!! WOW!!! Completely made sense after my stats lecture :)
Your videos are EXTREMELY helpful. Thank you kindly!
I am from Greece. Thank you so much for this video
Very, Very GOOD. Nice and calm and to the point.
Now I've got it because you did a VERY good job.
Thank you !
Thanks Brandon, Iam just getting amazing basic knowledge about simple linear regression. Looking forward for all available tutorials from you. Thank you very much
8 years later and still this video saves the day!
Hi Brandon,
you are my hero! I would be lost without your videos so thank you sooo much! :)
After searching for two years for good statistics videos I have finally found what I was looking for.
Thanks so much for these videos :)
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.
Amazing! Thank you for this! I don't think i have ever understood a topic better.....