How To... Perform Simple Linear Regression by Hand

Learn how to make predictions using Simple Linear Regression. To do this you need to use the Linear Regression Function (y = a + bx) where "y" is the dependent variable, "a" is the y intercept, "b" is the slope of the regression line, and "x" is the independent variable.
This video also shows you how to determine the slope (b) of the regression line, and the y intercept (a).
In order to determine the slope of a line you will need to first determine the Pearson Correlation Coefficient - this is described in a separate video ( • How To... Calculate Pe... ).

[@joshuaogongo3659]

I am watching this 2 hours to my exam lol

[@morrismutugi4304]

😂😂😂😂😂

[@ishayadav1688]

Did you pass?

[@patrik6461]

me too LOL :D :D :D

[@KrishivAgarwal05]

Same

[@Dereck27]

This is by far the best tutorial on linear regression I’ve ever seen. I have such a hard time remembering formulas. I wish my professor would let us have a list of formulas on tests.

[@jesseanderson9711]

Hey doing my final in stats in like 3 hours but I can't believe they don't let you have a formula sheet....

[@quintapusyt]

@@jesseanderson9711 hmm thats sucks, in my school board we have formula sheets

[@ruthnwofor7063]

Whew this video. The cleanliness, the clarity, the soothing accent, everything. I LOVE

[@Collaps_ing]

I have an exam on Tuesday, and you explained in 10 minutes what my professor couldn't in 3 weeks. Amazing.

[@gregoirevanderauwermeulen4455]

I wish KZbin only had such quality of explanation videos. Thank you

[@stumbling]

Ah, yes. It would be nice to have the old star rating system back.

[@AardPGN]

lmao i just learned an entire semester's worth of lectures in this video. amazing

[@kwabena.e.amoako6646]

😂😂😂😂

[@benmeteer2521]

Oh lectures this is my 8th grade math class idk about u but I don’t have lectures yet

[@VibeGator01]

no caaap...he's really incredible😍

[@rothspiegelmann1638]

Lol thats just one lesson in a semester

[@Hkpirate11]

This is just a part of week 3 in my 8 week statistics semester.

[@Smallathe]

Super simple and a wonderful reminder of my graduate math almost 25 years ago... and a very helpful one!... Thank you for posting this!

[@laurafudge4357]

Thank you, thank you, thank you! I'm doing a stats course via distance ed and trying grasp all this without any instruction has been so difficult. Your video makes it seem much more straightforward!

[@RoyArrowood]

Thank you for actually doing the work and not just plugging numbers into a computer that does it for you like so many other videos here on KZbin. Im sure doing this by hand many many times is the only way I am going to get an intuitive grasp of how this really works.

[@rubayatharun4414]

ur the reason why I'll make my parents proud by succeeding in life

[@capt.caymaaan6923]

This just saved my daughter and I all kinds of time and frustration. Very much appreciated!

[@nc7182]

thanks for this, Dr. E! i have a midterm tomorrow and your calming voice and tidy math make me feel better about life.

[@stefaniafranja]

I wish my university lecturers were this great! Thank you !

[@ricaulcastellon9615]

I am sure your professor is good, but the difference is that we as students disrupt the class so much, that sometimes the teacher gets sidetracked. Besides, when someone looks for help on the internet, they already have a pretty good idea about the subject. So, don't be so hard on your professor.

[@peethoven4807]

@@ricaulcastellon9615 How do you know that though...

[@subhrapratimsharma2825]

Indeed this video's efficiency is high, but we find these better than our professor because we're paying attention when we're looking for things.

[@skisquad1023]

This is one of the most efficient set ups and calculations for linear regression. Extremely helpful.

[@melodiousmag]

This is just what I needed, EXACTLY what I spent hours looking for. Thank you!🥰

[@kizitonathan2833]

Ahh you don't look to be a mathematician

[@joaquinivona9265]

Amaaaaaaaazing!! You explain the concept so well that I'm impressed at how my high school math actually had utility!! Can't believe that the simple function of x is actually the model of linear regression. Thank you so much Eugene!!

[@Zixelation]

Wonderful explanation! Our budgeting textbook is extremely vague and this breaks down the missing steps quite nicely, thank you :)

[@akosibaintz6675]

you just saved me reading 1 chapter of the book.loved how you explain it very clearly!

[@pedrosousa7254]

I wish my Computational Mathematics teacher would have half the teaching skils that Dr. Eugene has. This was the best linear regression class I have ever had and I enjoyed every second. Thankyou Dr. Eugene.

[@TheAmeer3881]

My dude!! Happy holidays brother you are the best. This video made me realize how much effort educators put into their craft. I wish you knew how much this means to me. Thank you sir

[@shunnie8482]

Thank you so much! Other sites were really confusing, but this was easy to understand and extremely helpful, along with your Pearson Correlation Coefficient video. Much appreciated.

[@salvadorvillarreal1455]

Searched for a while trying to find someone to explain the actual equation the way you do. Thanks very helpful.

[@dominicconroy810]

Excellent presentation- clear and refreshingly ego-free tone of delivery! Great work thank you.

[@amerbakodah1153]

This is the best eplaination on YT. Nothing beats a simple pen and paper explaination.

[@codemonkeyguru6779]

I needed to write a C# function to calulate a linear expression, I didn't know where to start and after wasting a whole day looking at various websites and online calculators I was getting know where. I came across your video this morning, nicely explained with a nice delivery, I followed along writing my C# code and now everything works and i have a better understanding of what's going on.

[@gracieface27.]

watching this as a refresher before the regents. thanks!

[@CecileaMun]

I think the way you explain these calculations are really helpful. I especially like how you explain the formulas. Thank you so much for making these videos. I was wondering if you would be willing to make a video on performing a multiple regression with two independent variables.

[@prajwalsm1482]

[@juneboymusic]

So simple! Now I can begin to understand Heckman and Robb! You are the man!!

[@TomVI1316]

This is such a clear example of how to pull all the individual elements toghether, thank you so much

[@andreaellis9663]

Thank you so much! I was struggling with stats, and you are helping me to get a great understanding of this.

[@rbrtsparkman]

This video is extremely clear and concise. The table is very clear. Even the hand-writing is very legible. Thank you.

[@DrBluEyz404]

Your videos are great! Thank you!! I don't know what it is that you do differently, but I understand every time you explain what we're doing.

[@atoyshabassene6273]

some are just better teachers. many professors know the work but can't break it down to teach it.

[@user-ro1co4lm4j]

i'm so grateful for this, sir. literally no other website/video has provided a manual calculation this thorough. thank you so much!

[@EugeneOLoughlin]

:-)

[@marcusmorrow3900]

WOWWWW I been trying to learn this for a minute and finally found a straight foward useful video. very helpful.

[@afsanamimi2636]

Oh my! This is THE MOST EXTRAORDINARILY EFFECTIVE video on Regression calculation!!! Incredible, Excellent and Astounding!👏👏💐💜💚

[@petermaree2481]

This is excellent. Thanks!! Knowing how to do it manually really teaches you the nuances of how the answer is derived.

[@jasonelliottchadinha5172]

This video was so great. Thank you for such a great explanation, I was so lucky to find this video!

[@EugeneOLoughlin]

:-)

[@Hidiho2u]

Thank you so much for this amazing video series. It's really clarified my understanding seeing it worked through by hand. Will recommend to my course mates!

[@dattud2021]

Thank you so much! Best and simple video on youtube about this topic. Also, love your accent!

[@pardeepsingh2502]

Thank you Eugene O'Loughlin for making regression analysis look so easy...

[@HNFC-Stays]

GREAT VIDEO, finally understood what is linear regression!

[@marcelnurega1622]

Thank you for your time and concise explanation! It's helped very much! I appreciate it greatly!

[@v.tunglc]

thank you for the video. I look for the detail formula, and this is exactly what I need

[@kefabosire]

Thanks Eugine Knowledge doesnt expire after 5 years we can still appreciate your contribution thank you I have understood Linear reggression

[@ryanmichaelhaley]

I needed this to build a dynamic calculator that can modify the input values across a dataset. I'll be using this, thank you very much

[@anavlg]

this is the best video in the whole internet. Thank you so much! please continue to make them. God bless you

[@antygona-iq8ew]

Thank you for your series of how to perform various test by hand. It is super helpful.

[@Hugo-yu3vo]

Thanks for the video! You really helped make simple regression so much more ... simple! I really appreciate it!

[@rabraham86]

Easy and simple. Thank you so much, life saver!

[@PNK-uu7ej]

Wow. This was so nicely explained I'm stunned. Thanks a lot for this video!!

[@ismatullorahimov3445]

You explained very simply! Thank you very much and please keep up the work!

[@mahmoodeqbal590]

Thank you for sharing this video. You are an amazing professor!

[@roldanbantayan8925]

Thank you for this video. This is the most comprehensive tutorial i've ever watched so far. God bless.

[@stumbling]

Thanks. This was explained to me in a really rushed way. Your video makes much more sense.

[@GemsGreenBox]

Oh wow ! I’m presenting this really soon!! Nice!!

[@MrLucasbear]

Thank you SO SO MUCH Dr. O'Loughlin, you just made my experimentation class much less horrible this semester

[@BrianByrneFinance]

Well done Eugene I think you are doing wonderful work!

[@ibrahimisrafilov1248]

Thank you! Quite straightforward and clean!

[@lisaansell6001]

Thank you so much! Really thank you. You make it so simple and at uni they make it so unnecessarily complicated.

[@khas-erdenebattogtokh1109]

Thank you for your videos so much professor, It's very simple and super easy to understand. Your videos are helping me so much with remembering what I learned in college.

[@emilyhan2895]

I wish KZbin only had such quality of explanation videos. Thank you +1

[@Hawie82]

Thank you so much for making this so simple and easy to follow.

[@datu7270]

Great video! Thank you for explaining it so well.

[@JennyShin-me6dn]

Thank you again!!! you are so kind and explain well.. best statistic teacher to me

[@tahiriqbal177]

How you say to him kind

[@ephyzothetravellinglawyer5630]

WONDERFUL... No words to explain how i have felt, the notes I had from class are difficult to understand. I was getting sick of the OLS . Thank you..........

[@amethysta218]

You are a godsend for students everywhere! Thank you!

[@melvincooly8]

condensed 2 hrs of lecturing into a 10 minute video that was even easier to understand. thank you so much

[@kimtaibass]

This is the most useful channel I have come across. Making statistics so easy 😌

[@mariamaria-do4he]

the best way to understand how it works is by performing it by hand, thank you sir you really helped us!!

[@desisto007]

Thank you so much for doing it manually!!

[@InnerFireArmwrestles]

Thank you so much for this video!! You are my absolute life saver for statistics!!

[@angellecreador]

This was so helpful, thank you! Now I just need to make an ANOVA and calculate the confidence interval on the slope

[@interestingvideosmail5033]

Best video on linear regression. Bookmarking this video. Thanks!

[@SoilAndCoil]

My man!! Best step-by-step explanation!

[@billstanfield8017]

AWESOME!!!! Cleared up a lot of confusing verbiage from the textbook. Thank You!!!!!

[@salimtheone]

The best explanation ever , Thank you

[@dreamerlamberte]

THIS VIDEO IS HEAVEN SENT

[@neothapa9491]

Dr. Thanks for your help...you answers lots of why in my mind...feeling enlightened

[@mikehansen7610]

My university book didn't explain or show the calculations I needed to know to write the linear regression formula for a line. Thank you, this helped me a lot.

[@hannahmariehortinela9314]

This was so easy to understand THANK YOU SO MUCH 😭😭😭

[@jessganas]

Thank you so much! I found this video much more helpful than my prof AND textbook!

[@TheZombyKillr]

Doing an exam at home due to Coronavirus. Had no idea how to solve Linear Regression before this. Thank you for this. It is very helpful.

[@WonderfulLife73]

I love the way you are teaching.

[@abinashkumarsinha8958]

This one lecture has made my day. Today I understand Linear regression.

[@myperfectlyimperfectadvent6671]

This video was so helpful! Thank you!!

[@yasmineelezaby5197]

Cant' thank you enough! you made it super clear for me.

[@alexipersonovich]

I have my biostats final tomorrow. This was better explained thatn both my instructor and the book! Thanks so much!

[@ashleysanchez182]

Thank you for helping me pass my stats class!

[@billma12345]

Good, clear explanation for Linear Regression formula. I can understand it now. I was very confused by what my mentor taught before.

[@Dubergomezfonseca]

Man, thanks so much, I have been doing linear regression using r-studio for a while. I could not see the beauty of this until I saw your video.

[@smumbo9198]

i havent even watched this and i already know im about to learn so much

[@MrSimon57638]

Great explanation! Thank you so much!

[@henryigugu7027]

Thank you very much for this video. It's still useful in 2022!

[@jetdevon8983]

the better explanation I have come across

[@estherolabinjo1795]

This is so beautifully explained. Thank you

[@sabasen1]

Were simple way of explaining. Thank you very much for this quality video and enriching the world with knowledge.

[@lookeron1360]

Hi Eugene, thank you. Very helpful, I get regression now.

[@cutlery]

What an amazing tutorial! thank you so much.

[@annabochmann2387]

Dear Professor O'Loughlin, your video has helped me quite a lot. Could you please explain how to evaluate the regression function developed in this video? In particular, how to calculate the standard error for slope and intercept? Thanks a lot!

[@crose4247]

Mr, you're a good man. Thank you. You helped me years ago and you have helped me again. Thank you🙆🏻‍♀️🙇🏻‍♀️🙆🏻‍♀️🙇🏻‍♀️