How To... Perform Simple Linear Regression by Hand

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  • čas přidán 7. 07. 2024
  • 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... ).

Komentáře • 747

  • @joshuaogongo3659
    @joshuaogongo3659 Před 3 lety +63

    I am watching this 2 hours to my exam lol

  • @Dereck27
    @Dereck27 Před rokem +121

    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
      @jesseanderson9711 Před rokem +5

      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
      @quintapusyt Před rokem +2

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

  • @laurafudge4357
    @laurafudge4357 Před 8 lety +38

    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!

  • @Smallathe
    @Smallathe Před 5 lety +34

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

  • @ruthnwofor7063
    @ruthnwofor7063 Před 3 lety +8

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

  • @nc7182
    @nc7182 Před 6 lety +10

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

  • @RoyArrowood
    @RoyArrowood Před 3 lety +3

    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 CZcams. 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.

  • @skisquad1023
    @skisquad1023 Před 3 lety +4

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

  • @AardPGN
    @AardPGN Před 7 lety +404

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

    • @kwabena.e.amoako6646
      @kwabena.e.amoako6646 Před 4 lety +2

      😂😂😂😂

    • @benmeteer2521
      @benmeteer2521 Před 3 lety +12

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

    • @VibeGator01
      @VibeGator01 Před 3 lety

      no caaap...he's really incredible😍

    • @rothspiegelmann1638
      @rothspiegelmann1638 Před 3 lety +1

      Lol thats just one lesson in a semester

    • @Hkpirate11
      @Hkpirate11 Před 3 lety +5

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

  • @gregoirevanderauwermeulen4455

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

    • @stumbling
      @stumbling Před 6 lety +5

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

  • @joaquinivona9265
    @joaquinivona9265 Před 6 lety +7

    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
    @Zixelation Před 7 lety +47

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

  • @stefaniafranja
    @stefaniafranja Před 7 lety +196

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

    • @ricaulcastellon9615
      @ricaulcastellon9615 Před 4 lety +3

      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.

    • @dinnerfan19470
      @dinnerfan19470 Před 3 lety +3

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

    • @subhrapratimsharma2825
      @subhrapratimsharma2825 Před 3 lety +5

      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.

  • @pedrosousa7254
    @pedrosousa7254 Před 3 lety +1

    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.

  • @Collaps_ing
    @Collaps_ing Před rokem +7

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

  • @akosibaintz6675
    @akosibaintz6675 Před 7 lety +4

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

  • @codemonkeyguru6779
    @codemonkeyguru6779 Před 2 lety

    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.

  • @salvadorvillarreal1455
    @salvadorvillarreal1455 Před 2 lety +1

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

  • @TheAmeer3881
    @TheAmeer3881 Před 4 lety +12

    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

  • @rubayatharun4414
    @rubayatharun4414 Před 3 lety +16

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

  • @shunnie8482
    @shunnie8482 Před 3 lety +2

    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.

  • @dominicconroy810
    @dominicconroy810 Před 6 lety +3

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

  • @pardeepsingh2502
    @pardeepsingh2502 Před 6 lety

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

  • @afsanamimi2636
    @afsanamimi2636 Před 3 lety

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

  • @rbrtsparkman
    @rbrtsparkman Před 2 lety +2

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

  • @petermaree2481
    @petermaree2481 Před 7 lety

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

  • @amerbakodah1153
    @amerbakodah1153 Před 8 měsíci

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

  • @user-ro1co4lm4j
    @user-ro1co4lm4j Před 4 lety +1

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

  • @marcusmorrow3900
    @marcusmorrow3900 Před 2 lety +1

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

  • @TomVI1316
    @TomVI1316 Před 2 lety

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

  • @melodiousmag
    @melodiousmag Před 2 lety +7

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

  • @capt.caymaaan6923
    @capt.caymaaan6923 Před 3 lety +2

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

  • @CecileaMun
    @CecileaMun Před 4 lety +16

    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.

  • @kefabosire
    @kefabosire Před 3 lety

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

  • @juneboymusic
    @juneboymusic Před 2 měsíci

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

  • @andreaellis9663
    @andreaellis9663 Před 4 lety +1

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

  • @anavlg
    @anavlg Před 2 lety

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

  • @HNFC-Stays
    @HNFC-Stays Před 6 lety +2

    GREAT VIDEO, finally understood what is linear regression!

  • @dattud2021
    @dattud2021 Před 7 lety +2

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

  • @DrBluEyz404
    @DrBluEyz404 Před 5 lety +3

    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
      @atoyshabassene6273 Před 4 lety

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

  • @Hidiho2u
    @Hidiho2u Před rokem

    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!

  • @ryanmichaelhaley
    @ryanmichaelhaley Před 6 lety

    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

  • @stumbling
    @stumbling Před 6 lety

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

  • @roldanbantayan8925
    @roldanbantayan8925 Před rokem

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

  • @amethysta218
    @amethysta218 Před 4 lety +1

    You are a godsend for students everywhere! Thank you!

  • @jasonelliottchadinha5172
    @jasonelliottchadinha5172 Před 7 lety +8

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

  • @emilyhan2895
    @emilyhan2895 Před 7 lety

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

  • @salimtheone
    @salimtheone Před 7 lety +5

    The best explanation ever , Thank you

  • @jetdevon8983
    @jetdevon8983 Před 7 lety +2

    the better explanation I have come across

  • @marcelnurega1622
    @marcelnurega1622 Před 5 lety +1

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

  • @kimtaibass
    @kimtaibass Před rokem

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

  • @GemsGreenBox
    @GemsGreenBox Před rokem +1

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

  • @SoilAndCoil
    @SoilAndCoil Před 2 lety

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

  • @v.tunglc
    @v.tunglc Před 11 měsíci

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

  • @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..........

  • @lisaansell6001
    @lisaansell6001 Před 7 lety

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

  • @MrLucasbear
    @MrLucasbear Před 3 lety +1

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

  • @BrianByrneFinance
    @BrianByrneFinance Před 5 lety +1

    Well done Eugene I think you are doing wonderful work!

  • @WonderfulLife73
    @WonderfulLife73 Před rokem

    I love the way you are teaching.

  • @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.

  • @antygona-iq8ew
    @antygona-iq8ew Před 2 lety

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

  • @InnerFireArmwrestles
    @InnerFireArmwrestles Před 5 lety

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

  • @abinashkumarsinha8958
    @abinashkumarsinha8958 Před 2 lety

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

  • @ismatullorahimov3445
    @ismatullorahimov3445 Před 3 lety

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

  • @Hugo-yu3vo
    @Hugo-yu3vo Před rokem

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

  • @rabraham86
    @rabraham86 Před 6 lety +1

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

  • @mikehansen7610
    @mikehansen7610 Před rokem

    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.

  • @crose4247
    @crose4247 Před 2 lety

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

  • @Hawie82
    @Hawie82 Před 6 lety +1

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

  • @mahmoodeqbal590
    @mahmoodeqbal590 Před 2 lety +1

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

  • @ibrahimisrafilov1248
    @ibrahimisrafilov1248 Před 3 lety

    Thank you! Quite straightforward and clean!

  • @interestingvideosmail5033

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

  • @Dubergomezfonseca
    @Dubergomezfonseca Před 6 lety +3

    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.

  • @ashleysanchez182
    @ashleysanchez182 Před 4 lety +1

    Thank you for helping me pass my stats class!

  • @thinlai417
    @thinlai417 Před rokem

    thanks sir i was struggle with the regression for 2 days,but right now i completely understand .i should see ur video earlier

  • @jessganas
    @jessganas Před 7 lety

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

  • @billstanfield8017
    @billstanfield8017 Před 3 lety

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

  • @PNK-uu7ej
    @PNK-uu7ej Před rokem +1

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

  • @datu7270
    @datu7270 Před 4 lety +1

    Great video! Thank you for explaining it so well.

  • @TheZombyKillr
    @TheZombyKillr Před 4 lety +1

    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.

  • @alexipersonovich
    @alexipersonovich Před 7 lety

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

  • @JennyShin-me6dn
    @JennyShin-me6dn Před 6 lety +6

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

  • @myperfectlyimperfectadvent6671

    This video was so helpful! Thank you!!

  • @billma12345
    @billma12345 Před 2 lety

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

  • @katiekim2121
    @katiekim2121 Před rokem

    greatly appreciated! Best explanation and tutorial!

  • @melvincooly8
    @melvincooly8 Před 2 lety

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

  • @dreamerlamberte
    @dreamerlamberte Před 4 lety +1

    THIS VIDEO IS HEAVEN SENT

  • @cutlery
    @cutlery Před rokem

    What an amazing tutorial! thank you so much.

  • @justMiniheartattack
    @justMiniheartattack Před 5 lety

    love the step by step process !

  • @classinfor2823
    @classinfor2823 Před 4 lety

    what an awesome explanation!!!! Thank you

  • @MrSimon57638
    @MrSimon57638 Před 5 lety +1

    Great explanation! Thank you so much!

  • @hannahmariehortinela9314

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

  • @emmanuellekule5296
    @emmanuellekule5296 Před 6 lety

    helpful real, my favorite channel from today

  • @preshy980
    @preshy980 Před 3 lety

    Found this very very useful🙌🏾

  • @estherolabinjo1795
    @estherolabinjo1795 Před 4 lety +1

    This is so beautifully explained. Thank you

  • @gracieface27.
    @gracieface27. Před měsícem

    watching this as a refresher before the regents. thanks!

  • @geniemcguire6328
    @geniemcguire6328 Před 7 lety

    Exactly as it is. Commendable, as is enlightenment expressed by the comments below. Funny thing about 21st Learning (aka using technology for everything) is that clear explanations accompanied by working-by-hand is the best teacher, the ultimate fall-back for quality education! Explanations like these remove the 'magic' and/or 'mystery' of a topic by placing ownership of understanding in the minds of the learner.

  • @strengthoftrinity2851
    @strengthoftrinity2851 Před 5 lety +1

    Best statistic-videos on youtube :)

  • @neothapa9491
    @neothapa9491 Před 4 lety

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

  • @desisto007
    @desisto007 Před 4 měsíci

    Thank you so much for doing it manually!!