How to calculate linear regression using least square method

[@anant8342]

Posted this 8 years back and people are still benefiting from it! Awesome work!

[@HalimaAdedosu]

now 12 years ago, i just stumbled upon the video,very helpful

[@黃士旻-d4w]

8 mins beats my 3 hrs course, very helpful n thank you!

[@kakablee]

he can do it faster though...

[@pza_eatr]

محمد دین ذو القرنين ناسوتيو

[@henrycheng8094]

You can watch it in 2x speed and get it over with in 4 mins

[@buristongnoi9125]

I like your comment. LoL

[@tomaszyarlett8681]

quality of uni courses gets even worse when the delivery mode shifts to "online" during coronavirus pandemic

[@lexparsimoniae2107]

Einstein said if you couldn't explain something in simple terms, you didn't understand it well enough. Thanks for your clear delivery of concepts that could be quite baffling.

[@statisticsfun]

Lex thank you for such a great comment. I work really hard at creating good visual explanations, so I do appreciate your feedback.

[@nadiabeno467]

Lex Parsimoniae u r right

[@nadiabeno467]

Lex Parsimoniae well said

[@jagadeeshwaranp161]

absolutely you are correct

[@humwishdom]

yes, the smarter and better people are at something, the more simplistic they can explain things, thanks for this video

[@lindawisebear]

I've never watched a maths/stats video which was so CLEARLY EXPLAINED before...in my ENTIRE LIFE. Amazing video making skills sir!

[@statisticsfun]

Linda Zhang Thanks for that. I appreciate that you took the time to write me. Good luck in your classes too.

[@matheusferreira8941]

@@statisticsfun you have a gift! Please continue to make more videos!

[@statisticsfun]

That is a great question. In my lectures I don't emphasis the equations much or how to do calculations by hand. It is important that students understand basic principles though. Such as a regression line goes though the mean of the independent and mean of dependent variable. The point of regression is to help understand correlation and more important causation. I believe it is much more important to understand the meaning of the output than how to plug and chug with a formula or a tool.

[@marcobroca4020]

Thank you so much professor. Could you tell me what's the meaning behind sum(x-x_mean)^2 and sum(x-x_mean)*(y-y_mean). Why doing that we can get the slope?

[@flamboyantperson5936]

what if we have more than 1 independent vairables (x) then we calculate mean?? and how does the line pass through in this case?

[@lsubandtrumpet2014]

How do I find observations? Are they going to be given? I want to do a regression on percentages of order fulfillment rates at our store. What could I use for an independent and dependent variable for omni fulfillment rates as well ?

[@AugustNocturne]

You are awesome!

[@chinmaykhanna6008]

@@marcobroca4020 have you found the reason?

[@oldavid1]

Mr. Longstreet, I beg you to publish a statistics textbook. If you title it "Study less, party more, and get good grades", I'm sure it'll be on every Top Ten bestsellers list! Thank you so, so, so, so very much.

[@statisticsfun]

That is a good idea, but I am building a website that will continue to be free for students. One of my pet peeves is the cost of textbooks. As a student you know the cost of textbooks is outrageous.

[@gmchingon]

statisticsfun I hate having to buy textbooks, but if you were to publish such book, I would buy it.

[@netmadefamous]

statisticsfun I know you are building a website, but it wont stop us buying those non reasonably written books which are very hard to understands .Please re consider your thoughts and publish a book on this ..That will be awesome ..your technique are too good and easy to understand for complex formulas as well ..thanks ..thank you very very much ....

[@kannadarecipes-6626]

@@statisticsfun is it live. your explanation was amazing :) I immediately subscribed

[@AugustNocturne]

A textbook wouldn't be as effective as the animations on this video. But I get what you mean.

[@firefrostpeacemaker]

This was without a doubt the best explanation I've ever experienced on this topic.

[@pmarilag]

Pure genius! This is my third time to take Statistics and don't have a clue whatsoever about it. I read a lot of easy books to understand it, watch videos and tutorials but to no avail. I watched your videos once and I was hooked! Boy, I understood it in one sitting! Your calm voice and clear/simple explanations plus your awesome graphics/animations just makes it all so EASY to understand. Plus of course your knowledge about what you're talking about. Thank you so very much!You're amazing

[@kandyslarsen8145]

You actually made my life so much easier. I may actually get an A in statistics because of your videos!

[@statisticsfun]

That is deep! You are right, we should not put emphasis on mechanics but on understanding. I have had students who could do all the mechanics but not understand the underlying concepts. I have had students who could not do the mechanics to safe their life, but understood the underlying concepts very well.

[@Ornitholestes1]

This is absolutely amazing! I tried to understand this method from written instructions with my limited mathematical skills and failed over and over again. Then I watched this video once and it's perfectly clear! I need a maths teacher like you!

[@WassupCarlton]

Clean, clear and crispy. I'm glad people are still out here doing things manually instead of immediately hecking off to code. bravo, SF

[@beautifulXXdesasterr]

so helpful us failing university students thank you

[@Yoshikage8008]

Mimi K im in freshman and im learning this lol

[@lucacapperucci8711]

8th here

[@Yoshikage8008]

cool

[@becausescience747]

You're doing this in uni?

[@conordarcy4663]

Lol your in uni

[@jaforhossain9567]

I spent whole day watching different types of video but i could find final concept. Finally I got this video by suggested option on KZbin. After 12 years latter this video still really helpful.Thank you very much for providing such video with simple explanation with animation.

[@comredigital]

Wonderful presentation, simple to understand! The entire world needs teachers like you! Thank you, sir, for your great effort and it is immensely appreciated

[@statisticsfun]

You are very welcome and that is great to hear. I appreciate the feedback because I am never really certain about the pace! Good luck on your exam too.

[@prateexit]

Wow. wonderfully explained. I hope my prof gets to check this out and know the right way of teaching these things. Thank you so much Sir :)

[@marianamtz10]

Your explanations are by far some of the clearest, simplest, smartest (as far as teaching) I've heard! Thank you for doing this, you have saved me!

[@wasi8u]

you sir are a legend

[@statisticsfun]

Wasi Raza What a nice thing to say, appreciate that.

[@Zeangjpn]

I am a teacher and I just wanted to say how great your videos are. Your speak with a clear calm voice and the examples are easy to understand. Keep up the great work and thank you so much.

[@abokbeer]

I spent couple of minutes wondering how can I thank you. Simply thank you

[@statisticsfun]

+mohamed ghoneim Tell your friends and fellow students about my videos. This will help them learn the subject as well.

[@stevenyanging]

You're the man for making this video. People who has a teacher that's really bad at explaining it really appreciates this.

[@MC_lupin]

Me: What’s up with these funky symbols and equations UGH *sees video* Me: ...That’s it?

[@ethan612]

i have never seen a video like this before. I went thru tons of videos for linear regression, nobody made it simple as you did. This is a great service you are doing here!!!

[@statisticsfun]

Thank you for the compliment, it is much appreciated. Make sure you like MyBookSucks on FaceBook (see link in video description). This will help others find the educational videos. Good luck in your classes too.

[@MatrixHound_Dungeon]

You are the man!!! I knew there had to be someone out there like you! With your explanation, coding it should be a breeze! This has to be the best use of 8 1/2 minutes in the past week! Thanks!

[@melliehaider9861]

It just doesn't get better than this. These videos are invaluable to me-- Thank you!

[@statisticsfun]

Great to hear! Make sure you like MyBookSucks on Facebook (see link in video description). This will help other students with teachers that are "really bad at explaining" statistics find the educational videos.

[@rachellemarcial3422]

This is so helpful. I have a short time before my test and I'm learning fast from your videos

[@rashadallahverdiyev9877]

I've never seen such an excellent interpretation. Both the way of your explanation and computer presentation have been thought perfectly. Big Thanks.

[@danageberten]

MUCH better than my course book! Thanks!

[@latifmammadli6815]

yavsaga bak ya

[@steph5656]

This is the only video I could find that explained how to actually use the formulas, thank you!

[@statisticsfun]

Your comments are much appreciated! Yes education is a great and wonderful thing and my plan is to keep making free educational videos.

[@mohammedah25]

Your video is very educative. I got the understanding way better than what I was thought in class. However, I tied using the formula you gave in the video to find the b1 (0.6) but I had zero(0) instead. Can you please help me out?. Thank you.

[@fearfullymade8510]

You have probably the best Statistics videos on KZbin. Very helpful, thank you.

[@swaekim9402]

I literally do not understand why some professors struggle to explain concepts in 3 hours as well as you do in 8 minutes. You make it seem so goddamn easy I feel like I'm cheating just watching this video 💀💀

[@hakinadedeji]

it's simple. being an expert is not being a teacher. you might know something excellently but you might find it difficult imparting it unto others

[@tbgar1]

Where have you been the last three years of my part-time Masters program...I"ve never seen anyone explain it so plainly & simply. I totally get it now! Thanks so much!

[@susie519]

Thanks for the lecture! One thing, I wish you explained us 1) 'why' a regression line has to include means of x and y, and 2) 'why' you calculated the slope the way you did. In this way, we may be able to grab conceptual meanings of regression analysis.

[@statisticsfun]

Wow! What a great testimonial and your comments are very much appreciated.

[@NeutralGenericUser]

Thank you so much! This is infinitely better than the explanation provided in my physics lab manual!

[@statisticsfun]

Thank you! I have added some links in the video description to a playlist on Regression and a Playlist on Using SPSS for regression analysis.

[@kamalakerreddy]

Its so so explanatory and useful. Thank you for the video.

[@statisticsfun]

K Reddy You are very welcome. Hopefully you will like, share, subscribe, If you get a chance could you please like our FB page. www.FaceBook.Com/PartyMoreStudyLess It will help others find the videos.

[@TheHarryPotters]

You must be gifted. That was a super clear explanation, so clear that it almost feels like I must have gotten something wrong, because there's no way it could have been so easy. I wonder why I have to pay my Uni if in the end I have to rely on you teachers on youtube, you're the one who should get the money.

[@thomaseldrup1315]

You are goooooood!!! :) have seen a lot of your vid's now, and every time i'm stunned by how you can make something so complicated sound so simple. good work, appreciate it ;)

[@statisticsfun]

Great to hear. I think animation really does improve the learning process. As I say a picture may be worth a 1,000 words, but an animation is worth 1 million words.

[@AugustNocturne]

You are so on point!

[@H_Jones]

Why doesn't my professor teach like this? This was extremely helpful!

[@statisticsfun]

Both are valid and the one of the right (y = a +bx) is what is typically taught in algebra. As long as you know what variables represent you should be good to go. Make sure you like MyBookSucks on FaceBook (see link in video description). This will help others find the educational videos.

[@lukebaker8116]

Very helpful thank you!!!

[@statisticsfun]

+Luke Baker You are very welcome. Hopefully you will get a chance to like and share the videos. This will help other students find them.

[@statisticsfun]

Squaring the X-Xmean in regression is a mathematical technique to get rid of the negative sign. Also we are taking the distance and if you recall the "distance formula" = ((x1-x0)^2 + (y1-y0)^2)^.5 which is part of the Pythagoras theorem. Hope that makes sense.

[@tdm4825-r6r]

Ernest teacher number 1

[@MarsMaher]

no u chatting shit

[@statisticsfun]

Good to hear and I appreciate the feedback.

[@Jaynyina]

this is awesome. thank you sooooo much

[@statisticsfun]

+jesse kwaku You are very welcome and good luck in your classes too.

[@Jaynyina]

+statisticsfun Thank you very much. I have got finals tomorrow

[@NvrGvUpEvr]

One of the best explanation on statistics methods I've ever come across...

[@bordeaux1337]

Is there a proof that all regression lines go through the means? And why does that formular later on give the slope ?

[@abhinandansrinivas5831]

i would like to know the answers to these too.

[@terigopula]

Even I am very inquisitive about that formula giving the slope of the line.

[@manikanth2166]

read the book "applied regression analysis. a research tool". you'll get free pdf on google search. chapter 1 has the proof

[@terigopula]

Thank u so much Mani Kanth​ :)

[@MsLaBajo]

8:00 I shrieked because I got it! I have a literal Math learning disability and I'm crying bc I got it. This feeling is great.

[@sarahthompson4191]

This was SO HELPFUL. Thank you! Maybe now I'll pass :)

[@statisticsfun]

Wow! That is great to hear and happy to know my videos are helping you learn.

[@kongmagneto12]

Thanks a million!!!!!!

[@statisticsfun]

Thomas Kongolo You are welcome a million too! Thanks for writing me and letting me know my videos are helping you. Hopefully you will like, share, subscribe, If you get a chance could you please like our FB page. www.FaceBook.Com/PartyMoreStudyLess It will help others find the videos.

[@lone_wolf4530]

One of the best linear regression tutorials I have ever seen.!!! Thanks for explaining the topic.

[@jameson4862]

u good ernest?

[@MarsMaher]

ew

[@kellyweaver6870]

You just cleared up for me in 8 minutes what I've been struggling with all day. I am a visual learner, so the colors are lovely. I'm just sorry I found you at the end of my statistics class!

[@revlmp727]

Only if uni teachers could explain like this and not assume that your super clever..

[@saxboss1]

This might be the most well done statistics video on KZbin, Congratulations really

[@jessepinkman725]

2018 still using this vid for my reference

[@Roman-fk5rl]

2020?

[@luna-sv6uf]

I hope you get paid for this because otherwise my heart cannot handle that you put so much effort into all of these videos, even if you do it proves there are good people in the world. love you even though I don't know you!

[@SnxadaNx]

Wow! The best explanation and teaching method I have seen online. The simplicity of it all is amazing.

[@statisticsfun]

Well thank you very much for that. Make sure you like MyBookSucks on Facebook (see video description for link). This will help others find the educational videos.

[@Protaug33]

You're amazing! I'm taking a statistics course in grad school and we just hit linear regression. The way you explained this just refreshed my high school course from way back when doing the slope intercept form. The biggest issue I'm having is relearning all this crap with new vocabulary. Two of my classes even overlap with content, but each one uses different terminology for the same junk. Thanks for breaking it down so simply! Mind blown! Great video.

[@reza13501]

I wonder if there is a better lecturer than you in the world. You are madly brilliant.You just put my over-rated lecturer for post-grad degree into shame

[@sowmyasankar1605]

sir , im not a statistic student.. ur video has helped me to overcome the stress I carried to statistic classes . Thanks a ton. God bless u

[@statisticsfun]

dumhead Thanks for letting me know my video are helping. Hopefully you will get a chance to like my FB page (www.Facebook.Com/PartyMoreStudyLess) and like, share the videos. This helps others find the videos. Good luck in your studies too.

[@akifhuseein1502]

Almost a decade later and still the best explanation out there. You sir are a legend.

[@scrapbookk8775]

Man, this is the best video on this I've ever seen. Thank you sir. I understood this so well.

[@lorinichols8882]

I cannot thank you enough for your videos. I appreciate an enormous effort went into each minute and don't know how you find the time. You affect so many students lives in a positive way and career folks who need a refresher here an there. Hats off to you.

[@Ralf_4848]

One of the best videos on regression I have seen. You did a great job on this video.

[@RealitikDaily]

Clearest explanation I have ever seen, very logical in the color codes and steps! Thank you

[@breadman7733]

This cleared up all my confusion, these channels are fantastic!

[@statisticsfun]

Good question. Linear regression analysis is a type of bivariate analysis. Bivariate analysis trying to find or establish a relationship between two variables.

[@zdriver-qu4sm]

You do an excellent job of breaking it down into a step-by-step format. I greatly appreciate this video!!

[@fernandoartmann5626]

I've seen so many different ways to tell this same thing you did, but it ALWAYS sounded completely incomprehensible... you made it easy to understand! Many thanks!

[@jedsonguedes]

One of the best Statistics classes I've ever seen. And by far the best least square video I ever saw. Note: at 4:18 you should've put the -2 between parentheses before squaring it. Just a notation issue. The result was correct.

[@cryptotare]

My sir taught same in 1 hour and I couldn't understand a single thing and now you thought all in 8 minutes. WOW! Awesome. Just amazing. Keep up!

[@justineperocho5311]

Thank God, you literally saved my life. Been struggling with this all day. Respect to you

[@akshaybaghmar254]

i find this the simplest way to explain regression analysis basics, which many books/professors fails to explain clearly . Thanks a lot for the video.

[@PraneetCastelino]

Thank you very much. This is absolutely brillant. Having left university many years ago I absolutely don't remember anything and now that I am trying to get into quantitative finance, I need to know all about regression analysis. Your explanation is brillant as you don't skip anything and realise your viewers watching this video have different levels of math skill.

[@ephraimbalenie-nyengera128]

This is the most excellent explanation I have ever had. You are a star.

[@alexiarottkamp8295]

This is the best tutorial out there. You made is very easy to understand. I cannot thank you enough.

[@anthonyhawkins6138]

You are great at explaining complex statistical concepts! I am a graduate student studying finance & I have found ur channel to be MOST helpful.

[@muhannedalogaidi4113]

I haven’t seen channel like this. Hope and wish that this channel grows up and more videos created

[@adaoskay134]

Without a doubt the best video on KZbin

[@nataliecho6188]

Words cannot explain how grateful I am for such well explained video. I'm currently self learning so a lot of times I'm struggling to grasp things however this makes it so much easier. Thank you so much

[@shylohgodfrey9761]

I have spent hours trying to do this the way math lab shows and you have taught me how to do it in 8 and a half minutes! THANK YOU.

[@8Trails50]

Your videos are seriously helping me get through Data Management! I appreciate your work!

[@mariamajaz1690]

Way better than any textbook that I've looked at!

[@munishgupta7878]

You have no idea what a great work you are doing sir. I just spent 10 days to understand regression theorem but nothing went inside my brain and your 10-15 minutes video cleared all my doubts. God Bless You. Keep doing such humanitarian work.!!

[@terigopula]

If it has cleared all your doubts can you please explain how that equation gave the slope of the regression line? I didn't understand that part. Your help will be appreciated.

[@munishgupta7878]

Their is a separate formula for finding the slope and intercept. The equation is yhat=a+bx finding a: ybar-b(xbar) and finding b:= r(standard deviation of y/standard deviation of x). and I got this equation not from here but from other courses

[@fububalla]

God I love youtube!! You guys have no idea how much simpler and clearer you make this stuff. Keep it up, knowledge is power!

[@statisticsfun]

fububalla Appreciate that! Hopefully you will like, share, subscribe, If you get a chance could you please like our FB page. www.FaceBook.Com/PartyMoreStudyLess It will help others find the videos.

[@ajitkumar15]

After struggling to get video to understand the topic, I landed here.. by far this is the best video on this topic,, thank you so much!!!!

[@statisticsfun]

Good to hear my videos are helping you. Perhaps you could show my videos to your lectures (or send them a link). Btw, where are you going to school (what country?). Good luck in your classes and do let me know if you have any special requests.

[@avimehenwal]

Explained like a PRO, beats all 30 pages linear regression chapter in traditional textbooks. Thankyou so much for explaining concept this clearly. (Y) Please keep it up

[@Flumanka]

Omg I have been searching for ages for someone explaining these formulas and I am so happy I found your video! It is really easy to follow along and now I can finally calculate these types of examples myself! Have an exam coming up soon and this was really of great help, THANK YOU!

[@Ford-Prefect]

You've taken something that seemed incredibly complicated and made it completely accessible. Thank you.

[@thoalfiqarhafid7522]

you are the best ever, words can't express who thankful I am, my uni prof spends ages, and he still bad explaining things you did in just 8 minutes