The Main Ideas of Fitting a Line to Data (The Main Ideas of Least Squares and Linear Regression.) 

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I have been enrolled in a graduate machine learning course for about a month now and you have just demystified so many details around Linear Regression. Please do more ML videos! They are so clear and helpful. If you can, please do one on Regularization and Decision Forests.

You deserve more subscribers, the quality in your videos is so intuitive that even a high school student understands. Please do upload videos, keep going. I really think ur gonna get more subscribers in future.

I actually took machine learning as the elective subject for my final year of engineering and I pretty much guess that this channel's going to teach me every thing!

After weeks of research and frustration, I have finally understood the concept of least squares so well! You explained the concepts so simply and logically!! Thank you so much for this amazing video. Much appreciated.

I must admit sir, you are one of the best teachers I've ever had. Thank you for being so awesome!

Thank you!! After somehow passing 2 PhD quantitative methods modules and not really understanding why we did any of it, your channel has finally cleared a lot of stuff up!

You have no idea how much I appreciate the clarity and simplicity of this explanation, you deserve a medal

It literally only took me 15 seconds to subscribe because of his unique 15 second intro

I don't think I have ever clicked on the subscribe button that fast. Absolutely amazing

I keep coming back for more! THANK YOU SO MUCH!!! This is so clearly explained than any other tutorial/video/in-class session I've ever listened to! You are the best!

I never understood why we needed to plot a line. Now I do. It is amazing

Your presentation style is way ahead of anything else on this platform. You don't have the inefficient habit of deriving everything from first principles but allow a holistic intuition to develop. Absolute magic!

Your way to explain these abstract concepts is simply AMAZING!!!! Thank you so much for these incredible videos!

This is the real teaching. Respect

This is absolutely fantastic! I am so glad that I found this channel on the RU-vid while I am doing the data science self study. I am now understand the concept of OLS which stress me out in a week time before I found this video. Big thanks!

StatQuest Team - Thank you so much for all your efforts. For the last few months, I felt like that mouse stuck in a wheel going round and round with concepts as I got deeper into ML. A definite recommendation to everyone and anyone irrespective of their ML proficiency.

the quality of these videos seem to have improved greatly over the years, but the simplicity was always there. Amazing!

There are so many videos on this subject where they say what and how to use least squares method of find the line of best fit but you are the only one who explained the concept behind this method. Thank you.

Josh your songs and teaching are excellent, you are doing something no one else has done in my life: inspiring me to become a Data scientist as well as a composer

Never excited more than after watching this video. Truly intuitive and amazing intro to linear regression.

I always wanted to know why the formula squares the distance and then get the root instead of using the absolut value. You're the first one to explain this. Thank you!

Done thanks We take the square to make all the errors positive (we want to find the total error of the points from the line) We want to find the optimal values for a and b in the equation of a line that minimize the sum of errors squared. We can express the sum of squares as a function of a and b and take the derivative to optimize it 5:45 We find the slope that minimizes the error by finding the minima of the multi variable function (variables are a,b) 7:30

I have watched and read so many articles but this video explains the use of sum of squared errors and why its important. Thank you!!!

english is not my first language, but i can clearly understand your explanation. Thank you sir!

What a legend you are! No words to express my gratitude. You are a blessing to everyone wanting to learn these concepts! Wish you good health and loads of happiness. :)

What a teaching style... 200% which I was searching about... Exellent work

This video made me stop crying from stress of barely understanding anything in my class. Thank you

This is the best RU-vid channel ever, thank you Josh for all your work you doing awesome!!

You have the best teaching skill in the universe.

The best teaching video I have ever seen. What a great work!

Awesome. I am screaming with happiness. Thanks Statquest. Intuition you conveyed to us priceless.

OMG !! You really have the best in explaining this concept which most books just want to show how good their English are.

Oh my God this is just the best video I've ever seen about Linear Regression! Thank you very much! I subscribed just after the video, please do not stop!

Josh, seriously, thanks for all these videos. My ML journey is smoother thanks to them.

Great video.I love the way how intuitive your videos are! 👍🏻

bro im appreciate every single videos that you've made, i just want to say thanks a ton with not skip ads in your videos, love from indonesian

your method of teaching is awesome, thank you!

Your videos are helping me write my thesis because I don't have a stats background and went into a science heavy masters. this is just the best!!!!

I've read a few undergrad texts and none of them actually explain the origins of the idea behind least squares. At least not in a simplified visual form, you're usually just explained the problem and slapped with the simple linear model and then the generalized version....This gives some insight into the motivation behind this technique. Thank you for donating you're time to such a altruistic cause. You a real one!

Thank you, this is great. Easy to understand

Yes this is exactly what I've been looking for. Great video. It has made my life a lot easier.

Best and simplest explanation ever !!

Simply explained...just makes it beautiful to watch! Thanks!! :-)

This is the best tutorial channel ever!!

I'm new to data science, you just nailed it ....amazing explanation...after so many videos...finally understood what the heck Linear regression is ...Thank you so much...

Thanks for this. Really helpful.

superb explanation, crystal clear with graphics is good way to comprehend. Thank you for this.

Sir, your explanations are crystal clear. Thank you

hello, you have done the wonderfull explanation. I loved it. and I am requesting you to do a video on assumptions made in linear regression. this will help us a lot.

Hello Josh, Thank you for sharing. Every time I sign in, I learn something new from you. Fantastic presentation . Stay blessed.

Concise and precise, well done Sir.

Hey josh, I absolutely love your explanations! It's given me a completely different perspective on how i think about machine learning and made the topics intuitive. I wonder if you can compile some notes for all of the content that can be reviewed in under a day and a mind-map that can be used to put all the pieces together. that would be really AWESOME!

This is an amazing video on the intuition behind Fitting lines to data. Loved this video, it gave me a recap on some of the concepts I've learnt years ago and have forgotten.

clearly explained! lots of thanks

Thanks for the video. It was a great refresher.

Thanks very much for this. I watched it last year when I was looking to change careers. Re watching now that I'm enrolled in some real training. And Wow!

Thanks for this content!!! I am very happy to understand these concepts watching this awesome explanation!

AMAZING VIDEO. MAKES STATS AND MATHS MORE LOGICAL AND REAL

I actually LOVE your video style!

Really good explanation, thank you !

Awesome Information.Thank you Sir

I think that the Blue Lake in New Zealand has some competition for ~most clarity~. This channel is amazing!!

Thank you for the vid. It was so easy to understand the concept of Least Square using visualization. I will use this as my reference for my demo teaching in stat. Hoping fore more stat videos and data analysis trick & tips...

Excellent video. Thank you!

The best explanation to date!

awesome explanation, best ever explanation, made it look so easy.....

Great video and many thanks! Lucid explanation!

Great video on least square method.

Great Josh! Liked and subscribed, thank you very much!

You are an incredible teacher.

perfect explanation thanks!

Great explanation. Thank you. God bless you!

Please do more of these, I think I will be able to pass my econometrics test thanks to you.

Clearly explained indeed. Thank you.

Wow. I never looked at it this way!

When a clip about stats starts of with singing that makes you laugh before you start it's a very good thing.

taken Andrew's course and bought books, but that intro and vibe is the rela into to ML--I learned that the hard way. Thanks for your songs.

Great work, thanks heaps!

Best explanation ever!

Thanks! Really useful

Thank you so much for this incredible video!

Amazing! Thank you

I just wanted to say that you were born to teach. The book? Are you kidding me? Perfection. I would advise to give the first chapter as free content so everybody can have a taste of your abilities. Favorite quote so far: "The Binomial Distribution makes me want to run away and hide. :) "

10 videos in I have started dancing to the song at the beginning.

This was really helpful, thanks! :)

wow this made a lot of sense! thank you!

maths is so crazy, the explanation was amazing - the people who figure this stuff out are geniuses

Just the right amount of theory and math. You should consider teaching stat for students in health and biological studies.

thanks a lot for your useful content , ❤ from Iran

I just "discovered" by myself that lines generated by linear regression always passes (M(X), M(Y)) point (which, when thinked about it is quite intuitive) and thus, we can add constriction, that b=M(Y)-a*(M(X), which allows to solve the equation for just single varible (slope), instead of two (slope and intercept). Thats for sure basic, but im neverthless proud of myself :D Great channel BTW.

God bless you and these videos. These are so helpful

BAM 😅😅😅🎉 I reached out to the bottom of the _STACK_ Quest (finally) 🎉❤ Wow 😮 I am on this quest to find out where this will stop since I just learned that I must watch the video *Fitting a Line to Data* also know as *Linear Regression* before I can watch the *Gradient Descent Step-by-Step!!!* so that I can watch the video related to *Neural Networks part 2* that I must watch before I can watch the *The StatQuest Introduction To PyTorch...* before I can watch the *Introduction to coding neural networks with PyTorch and Lightning* 🌩️ (it’s something related to the cloud I understand) I am genuinely so happy to learn about that stuff with you Josh❤ I will go watch the other videos first and then I will back propagate to that first video... And now I feel like it took me 6 years to find out this wonderful video I can't wait to see it😊

Thank you so much you are a lifesaver

Great video! It is admirable the effort you put on teaching... Just a suggestion: It would be great if you could put the link of the complementary videos you describe in each video. That way, it is easier to keep on track.

Awesome! Keep it up!

Thank you so much!

Hi Josh. Love your videos!! They give the best intuitive explanation. Can't thank you enough :). Please make a video on curve fitting for linear equations using normal equations vs using gradient descent. Thank You!

thank you for this video!!!!!

Thanks a lot making such a wonderful video, you have really simplified learning Linear regression...