Econometrics // Lecture 2: "Simple Linear Regression" (SLR)

An Introduction to the "Simple Linear Regression" (SLR) in Econometrics. This video covers:
1. A formal introduction to the SLR model
2. The difference between population and estimation models
3. A basic interpretation of the slope and intercept
4. What causality means
5. A more formal visual representation of the simple linear regression
6. Introduction to residuals
7. An outline of how to estimate the slope and intercept and where it originates from
Note: All of this applies to the "Ordinary Least Squares" (OLS) Estimation.
This video is to serve as a basic introduction to the "Simple Linear Regression" model. The video briefly touches on lots of subjects to ensure that the student gains a strong foundation for more in depth analysis to come.
Additional Comments:
If you want to estimate any ui, find the estimates for the intercept and slope and plug them into the ui equation: ui = yi - yi_hat = yi - (beta0_hat) - (beta1_hat)(xi). Additionally, remember that the derivative of y in respect to x represents the change in y as a result of a change in x. Therefore if we have a causal relationship, if x increases by 1, y will increase by Beta_1. This will be shown in depth in a later video.
The next video tutorial on "Ordinary Least Squares" and "Goodness Of Fit": • Econometrics // Lectur...
All video, commentary and music is owned by Keynes Academy.

Пікірлер: 138

  • @pujyatakarmacharya1441
    @pujyatakarmacharya14417 жыл бұрын

    This was actually very helpful. Definitely better than cramming 20pages from the book to explain one little thing like 'causal effect' Thank youu! :)

  • @mpbiggame1010
    @mpbiggame10104 жыл бұрын

    12:25 gee mate, I'm crying too... Thanks for the lecture, and for your sacrifice- was very insightful!

  • @evansiddique3775

    @evansiddique3775

    4 жыл бұрын

    Lmfao

  • @joebrodenberg3428

    @joebrodenberg3428

    3 жыл бұрын

    he didn't cry, he hiccupped

  • @ef7496
    @ef74969 жыл бұрын

    it is a great class, BUT I wish you can include some examples to clear the lecture. Thank you

  • @gracebroome6392
    @gracebroome63929 жыл бұрын

    Thank you for the video. Really wish you continued on with the series. Please upload more in the future.

  • @KeynesAcademy
    @KeynesAcademy11 жыл бұрын

    Remember that the derivative of y in respect to x represents the change in y as a result of a change in x. Therefore if we have a causal relationship, if x increases by 1, y will increase by Beta_1. This will be shown in depth in a later video.

  • @grinch061

    @grinch061

    3 жыл бұрын

    Why did you stop? Loved it

  • @SpacedFiction
    @SpacedFiction9 жыл бұрын

    Thanks for the upload, you did a good job of explaining something that's quite complicated. Cheers.

  • @dominicbateman895
    @dominicbateman8957 жыл бұрын

    Thanks man! Got my first in course exam coming up and this helped so much!

  • @sonokoful
    @sonokoful5 жыл бұрын

    you explain everything so well. I wish you really go in dept in Econometrics!

  • @chalewwondimu3560
    @chalewwondimu35609 жыл бұрын

    It is an amazing explanation , please keep it on doing such very important works

  • @KeynesAcademy
    @KeynesAcademy11 жыл бұрын

    Hi Ali, Thank you for the feedback! I will be posting more videos very shortly. If you need help with a specific topic, feel free to comment or message me, and I will post a video as soon as possible. If you are planning on enrolling in an introductory econometrics course at the undergraduate level, I would recommend "Introductory Econometrics: A Modern Approach" by Wooldridge. Good luck!

  • @michaelgondwe-oe5gd

    @michaelgondwe-oe5gd

    2 ай бұрын

    Continue making more videos , on probit and logit, log linear model, instrumental variables etc

  • @nemathassnain8522
    @nemathassnain85225 жыл бұрын

    Very nice presentation. I wish you made more videos on this series. Your voice is very soothing and clear to follow.

  • @mansinath1751
    @mansinath17513 жыл бұрын

    Thank you so much🌼 Please continue with this series sir✨ Really very helpful

  • @DionneCobb
    @DionneCobb Жыл бұрын

    This explanation was very easy to understand and helpful. Please upload more!

  • @harryburnet
    @harryburnet8 жыл бұрын

    Good explanation thanks. Please continue to make these!

  • @ParsaAfghan
    @ParsaAfghan7 жыл бұрын

    Thanks for the great videos. It helped me refresh my Econometrics. I think if you use some numbers to your examples it would me more intuitive to great number of people who are interested to the topic. Appreciate your time and effort.

  • @piedpiper7384
    @piedpiper73847 жыл бұрын

    thank you your explanation is much better than my lecturer. u made it easy to understand

  • @CC-hj4vq
    @CC-hj4vq8 жыл бұрын

    Can you post more videos. Your Channel is saving my life!!! I love it!!

  • @studyzone131

    @studyzone131

    4 жыл бұрын

    Hahaha... how it possible ??

  • @nirajbhusal9329
    @nirajbhusal93295 жыл бұрын

    Great..Helped me a lot!!!! Keep Posting More Videos

  • @ryangordon3597
    @ryangordon35977 жыл бұрын

    You are amazing man! keep it up

  • @capitolare
    @capitolare7 жыл бұрын

    A shame that you make only three of them, they was the most useful video for my econometrics exam

  • @adenigba
    @adenigba8 жыл бұрын

    You are amazing...thumb's up for you.

  • @bendeg167
    @bendeg1677 ай бұрын

    Awesome video !

  • @thomdang6221
    @thomdang62218 жыл бұрын

    Thank you, Sir, Your explanation is very easy to understand. You made complicated things become simple. What a great job!

  • @wintaevangeline
    @wintaevangeline Жыл бұрын

    This is so helpful! Thank you so much!

  • @Esenbekk
    @Esenbekk8 жыл бұрын

    Please continue to post videos!!!

  • @AndresPuelloC
    @AndresPuelloC4 жыл бұрын

    why did you stop making videos???!!! You explain super good!

  • @uditbora4088
    @uditbora40885 жыл бұрын

    Amazing explanation. You should not have stopped making such videos.😞

  • @PianoByHON
    @PianoByHON6 жыл бұрын

    very educational and useful video! You explained more than professor)

  • @KeynesAcademy
    @KeynesAcademy11 жыл бұрын

    Hi Llamskid, we just posted our next video on OLS and Goodness-Of-Fit. Hope you enjoy! More to come!

  • @ishoeeee
    @ishoeeee9 жыл бұрын

    Helped a lot. Thanks !

  • @AP7472
    @AP747210 жыл бұрын

    Thanks for the video!

  • @InvestinAfrica54
    @InvestinAfrica543 жыл бұрын

    great video simple to grasp

  • @kathixxxxx
    @kathixxxxx5 жыл бұрын

    you have literally saved my ass! thanksssss so much! greets from Vienna :D

  • @user-xf6mt2ee4j
    @user-xf6mt2ee4j3 ай бұрын

    really good! thank youuuu

  • @sarvaryuldashov4961
    @sarvaryuldashov49615 жыл бұрын

    Hello, beforehand thanks for yor explanations but how can we find "beta one bar" could you show the calculations of this?-- thanks beforehand!

  • @mushtaqahmadbhat4700
    @mushtaqahmadbhat47007 жыл бұрын

    informative and helpful .please load some more videos.

  • @RenaudDenis
    @RenaudDenis10 жыл бұрын

    Nice video, thanks!

  • @nyceric95
    @nyceric957 жыл бұрын

    Wow at 5:00 you explained something that I had copied down as notes but could not figure out what it meant! Goes to show that notes are only half the lesson

  • @hamzamames2564
    @hamzamames25644 жыл бұрын

    The equation at 9:36 should be : Ÿi = ûi + Yi

  • @ruthnwofor7063
    @ruthnwofor70633 жыл бұрын

    I definitely need to have a better understanding of the first video before watching this one comfortably

  • @doritosforlife
    @doritosforlife9 жыл бұрын

    Big help man, thanks

  • @shikhaalbalushi7310
    @shikhaalbalushi73103 жыл бұрын

    You are a life saver♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

  • @PedroSantos-nm2ev
    @PedroSantos-nm2ev3 жыл бұрын

    Question about β 1 hat and βº hat, the last formula introduced show you should use some cov, var and mean. I know you can have those related to the sample and/or the total population . Which one should be used ?

  • @nurkardinamassijaya2107
    @nurkardinamassijaya21077 жыл бұрын

    Hi your videos are very helpful but what is covariance and variance because I watched your first video and nothing explains that. Thanks!

  • @gitapadma2617
    @gitapadma26172 жыл бұрын

    very helpful esp for me, which the beginner to learn econometrics, i have one question regarding to “error term” so when we applied this formula, we just have known what the error term is? or i mean thet the error term is decided by us or not? i just still confuse about the error term..

  • @gabriellegall8278
    @gabriellegall82787 жыл бұрын

    love you !!!

  • @MrDracula0000
    @MrDracula00008 жыл бұрын

    great lecture more please

  • @nakedking6676
    @nakedking66767 жыл бұрын

    Hello I have a question. I want numbers and analysis in my working life. Does choosing economics and business economics, rather than econometrics and operational research for undergraduate study, affect the carreer paths I will have? The thing I am trying to ask is can one do the other's work without that much additional work? I would be very if you could help me.

  • @aimanahamed3938
    @aimanahamed39388 жыл бұрын

    thank you it help ed me alot

  • @abdalnaseralqahtani687
    @abdalnaseralqahtani68710 жыл бұрын

    a very helpfullllllllll... thanks

  • @faro99ru
    @faro99ru7 жыл бұрын

    It helps a lot

  • @fizahpgm
    @fizahpgm3 жыл бұрын

    thank you sososososososo much!!

  • @Knockknock12348
    @Knockknock123484 жыл бұрын

    Amazing.

  • @ziauddinsiddiqui7769
    @ziauddinsiddiqui77694 жыл бұрын

    Shouldn’t the equation be: ûi = Ŷi - Yi

  • @starostadavid

    @starostadavid

    4 жыл бұрын

    Nah, measured data got to be the core value. It doesn´t matter if u get a negative value, because you sqare it anyways.

  • @LegionFan

    @LegionFan

    3 жыл бұрын

    @@starostadavid to me it also seemed that having Yi first allows you to see if the actual data point is below (negative) or above (positive) the linear regression estimation.

  • @robertmazurowski5974
    @robertmazurowski59748 жыл бұрын

    12.24 - 30 The mean value of y (Laughing) has anyone noticed that?

  • @nurkardinamassijaya2107

    @nurkardinamassijaya2107

    7 жыл бұрын

    Yes I recognized that lol

  • @Usas12fann

    @Usas12fann

    6 жыл бұрын

    Laughing about the magical simplicity after 12 steps of derivation I guess haha.

  • @praveenthakur8965
    @praveenthakur896510 жыл бұрын

    niceeee video sir..thxxxx

  • @zanareyahsalim5572
    @zanareyahsalim557210 жыл бұрын

    Hai Chris, in this video , you have mentioned about the causal relationship.You were saying that 'we cant assume that there is a causal relationship between wage and education. can you help me to explain in more details on that..? i kinda didnt get what you have said.must we assume?? pls help..:(

  • @harley4640
    @harley46409 жыл бұрын

    Based on your explanation on the graph, U^=Y^i - Yi not Yi-Y^i @ 9:50

  • @margaritaosadcha7031

    @margaritaosadcha7031

    9 жыл бұрын

    HL Lee yes, I am was also confused about that. So its Y^i - Yi then? is that right?

  • @littlebanana7372

    @littlebanana7372

    9 жыл бұрын

    HL Lee i guess because over the line are positive areas.. and contrastly...

  • @ashy99591

    @ashy99591

    7 жыл бұрын

    negative error term. he meant

  • @TheTajwaar
    @TheTajwaar3 жыл бұрын

    very helpful thanks

  • @rezwankhan941
    @rezwankhan9418 жыл бұрын

    Please post more videos

  • @KeynesAcademy
    @KeynesAcademy11 жыл бұрын

    Unfortunately, the notation depends on the textbook and a lot of the notations overlap. The "regression sum of squares" (RSS) is the equivalent of the "explained sum of squares" (denoted ESS or SSE). However, be careful because the sum of squared residuals is usually denoted as SSR, but it is sometimes referred to as the RSS (residual sum of squares). Lecture 3 starts to explain what the SSE (explained or regression sum of squares) is -- In short, it is the amount of variation in y_hat.

  • @abmalikrashid
    @abmalikrashid6 жыл бұрын

    13:19 wow that car just goes Zoooorrrm

  • @hounamao7140
    @hounamao71407 жыл бұрын

    oh my god I kept screaming Eureka in my head, everything is so clear when he explains it

  • @StephanieHughesDesign
    @StephanieHughesDesign3 ай бұрын

    Are there assigned textbooks and materials for this course? E.g., De La Fuente, Wooldridge, etc.?

  • @monavi13
    @monavi134 жыл бұрын

    Thank you so much

  • @abdulhakimahmed1708
    @abdulhakimahmed17089 жыл бұрын

    IT IS NICE LECTURE

  • @danilobucker
    @danilobucker10 жыл бұрын

    I don't understand the "betas" zero and one about covariance and variance.

  • @alieverbol

    @alieverbol

    5 жыл бұрын

    beta zero is intercept and beta one is a slope

  • @michelesliwa7299
    @michelesliwa72992 жыл бұрын

    i think you forgot the link to video 1 in the corner. video 1 was great!

  • @rhodamurwa9593
    @rhodamurwa95933 жыл бұрын

    How do I get the quiz for practice?

  • @pornesianparapio4935
    @pornesianparapio49358 жыл бұрын

    please make more!!!

  • @rydstedt94
    @rydstedt947 жыл бұрын

    I can't seem to understand this equation "ui = yi - yi_hat = yi - (beta0_hat) - (beta1_hat)(xi)" If you look at the line drawn up the yi_hat have a longer distance to the regression line than yi. So, in my head, to calculate the ui you should turn that equation over like "yi_hat - yi"?

  • @aaaaa8744

    @aaaaa8744

    7 жыл бұрын

    I agree

  • @SpacedFiction
    @SpacedFiction9 жыл бұрын

    I know you haven't uploaded in a while but please put up a 4 minute long loop of the music at the end. I really want it on my mp3 player. Cheers.

  • @user-wu4qm5vi8m
    @user-wu4qm5vi8m6 жыл бұрын

    thanks a lot

  • @ce-lz5jw
    @ce-lz5jw Жыл бұрын

    Bro wtf this is great

  • @bl0odwr4th
    @bl0odwr4th7 жыл бұрын

    Just wondering regarding the Y estimator equation. Y hat= B1 hat + b2 hat Xi + U hat Y hat should be changed to Y or keep Y hat and remove U hat? Since the estimator of Y refers to the fitted line rather than sample distribution

  • @stijnlijnsvelt5166

    @stijnlijnsvelt5166

    3 жыл бұрын

    Did you find out the answer? I was asking myself the same thing.

  • @samutreasure3261
    @samutreasure3261 Жыл бұрын

    can you use B1 instead of B0

  • @KeynesAcademy
    @KeynesAcademy11 жыл бұрын

    Hey, this is Chris from Keynes Academy! Have you enrolled in an econometrics class? Join your classmates and stay ahead of the curve by subscribing! All questions and feedback are welcome -- Please comment, message or e-mail us your thoughts!

  • @kodhainachi6793
    @kodhainachi67937 ай бұрын

    Why did you stop making the video lecturers ?

  • @christopherbale9916
    @christopherbale991611 жыл бұрын

    SSR is the sum of squared residuals. I understand what this is, the distance between the data point and the best fitting line squared. In my course RSS is the regression sum of squares and I don't quite understand what that is.

  • @KeynesAcademy
    @KeynesAcademy11 жыл бұрын

    Additionally, if you want to estimate any ui, find the estimates for the intercept and slope and plug them into the ui equation: ui = yi - yi_hat = yi - (beta0_hat) - (beta1_hat)(xi).

  • @dharnie9861
    @dharnie98613 жыл бұрын

    Interesting

  • @wakameraisu
    @wakameraisu8 сағат бұрын

    Hi, can someone please explain to me like I'm 5 what a "TRUE MODEL" is? I still cannot comprehend why we have a true model when we are exactly just estimating things? For example, if I want to find the relationship between wage and education, where is the TRUE MODEL from?

  • @NavHDpoop
    @NavHDpoop9 жыл бұрын

    at 9.30 surely you mean Ui(hat) is equal to Yi(hat) subtract Yi? not Yi subtract Yi(hat)

  • @BIGBEAUTIFUL22

    @BIGBEAUTIFUL22

    9 жыл бұрын

    NavHDpoop i was wondering about that as well

  • @june980612
    @june9806123 жыл бұрын

    I'm sorry but can anybody tell me what is the meaning of using HAT? what's the difference?

  • @stijnlijnsvelt5166
    @stijnlijnsvelt51663 жыл бұрын

    If Y^ = B0 + B1*X +U^, then why do you need to remove U^ to get Y?

  • @stijnlijnsvelt5166

    @stijnlijnsvelt5166

    3 жыл бұрын

    first this equation is said and then to get Y^ we have to do -U^. That does not make any sense to me. Could someone explain?

  • @alifetouni3059
    @alifetouni305911 жыл бұрын

    Hey, mr Keynes! I really enjoy your videos! Will you be posting new ones during this summer? I'm thinking of enrolling for an econometrics course during the fall. Could you recommend any good literature? Many thanks in advance! //Ali

  • @chulangjj
    @chulangjj10 жыл бұрын

    Bata 0 is when the value is 0 or where the line inter the y when x =0

  • @alhanoufalarjani361
    @alhanoufalarjani3617 жыл бұрын

    Thanksssssssss

  • @BIGBEAUTIFUL22
    @BIGBEAUTIFUL229 жыл бұрын

    Can you pleaseee reply to the question about your subtraction of Yi hat from Yi

  • @taijaskumar5331

    @taijaskumar5331

    9 жыл бұрын

    BIGBEAUTIFUL22 All residuals below the line are -ve and all residuals above the line are +ve. therefore, below the line --> Ui(hat) = - ( -Yi + Yi(hat)) = Yi - Yi(hat) or it could be , - Ui(hat) = -Yi + Yi(hat) Hope that helps. Cheers

  • @asmelashabriham3173
    @asmelashabriham31735 жыл бұрын

    good lecture. but you need to add some clarification using while you use formula.

  • @jahangirali9631
    @jahangirali963110 жыл бұрын

    thumbs up

  • @anajesuslopezmenendez6352
    @anajesuslopezmenendez635210 жыл бұрын

    Hi! I think that these videos are very helpful. Regarding the simple regression model I think there is a mistake in the first expression of ^Y, which should be ^Y=^Beta_0+^Beta_1 X instead of ^Y=^Beta_0+^Beta_1 X+û. However, the expression is correct when it is derived from the graphical representation.

  • @xorenpetrosyan2879

    @xorenpetrosyan2879

    9 жыл бұрын

    no it shoulden't,

  • @Adenan2023
    @Adenan202310 жыл бұрын

    I think his formula is correct..I checked my notes and have similar notation Yi-YiHat

  • @PedroOliveira-cy9ww
    @PedroOliveira-cy9ww4 жыл бұрын

    Where's the quizz??

  • @owndRetro
    @owndRetro7 жыл бұрын

    lol the amount of notation you see from one school to the next, let alone by my own school. Each year i need to learn new notations to replace previous ones

  • @MrWideVariety
    @MrWideVariety5 жыл бұрын

    get back on your grind and post more videos

  • @waheedsaeed5978
    @waheedsaeed59785 жыл бұрын

    Shouldn't it be Y^ - Y instead of Y - Y^ because U^ + Y = Y^

  • @NWASnm
    @NWASnm2 жыл бұрын

    how is. Ui hat = Yi - Yi hat if , Ui hat + Yi = Yi hat

  • @thezangetstu
    @thezangetstu11 жыл бұрын

    I want to take the quiz =-=

  • @InvestinAfrica54
    @InvestinAfrica543 жыл бұрын

    2020 covid 19.... we here