What is R-Squared (R^2) ... REALLY?

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  • Опубликовано: 15 янв 2025

Комментарии • 32

  • @jcj1888
    @jcj1888 9 месяцев назад +4

    this is crystal clear explaination

  • @infinitesum
    @infinitesum 4 месяца назад +1

    FANTASTIC EXPLANATION!!!!!!!! Can't get any better.

  • @PalakMJain
    @PalakMJain 3 месяца назад

    Very crisp and clear. Loved it! Thanks Brian!

  • @tathaztu
    @tathaztu Месяц назад

    Thank you for this! Very helpful.
    Good content and a nicely structured.

  • @coderide
    @coderide 9 месяцев назад

    This is the most amazing and simple explanation I've seen so far, good job mate.

  • @alaataktokani8884
    @alaataktokani8884 2 месяца назад +1

    if I can i will give a 100 likes, best explanation that i have found for this topic so far

  • @RamakrishnaN-ms4kl
    @RamakrishnaN-ms4kl 9 месяцев назад +1

    Fantastic sir. ❤ Thanks a lot 🙏🙏🙏

  • @d4d5c4-
    @d4d5c4- 2 месяца назад

    what a video!! , really appreciate your valuable effort

  • @cybervigilante
    @cybervigilante 11 месяцев назад +3

    You should explain why the differences are Squared.

    • @statswithbrian
      @statswithbrian  11 месяцев назад

      Great idea, Jim. That gives me an idea for a future video, talking about absolute versus squared differences and why we use squared errors. Thanks!

  • @衮雪
    @衮雪 Месяц назад

    crystal clear explaination

  • @bonob0123
    @bonob0123 9 месяцев назад

    crystal clear, well done!

  • @СквозьГоризонт-м7ъ
    @СквозьГоризонт-м7ъ 3 месяца назад

    Best explaination, i finally understand. Do you have video about R and it's relation to the R^2? I have seen the video of Veritasium about IQ where he shows the graph with regression and tell labout getting R^2 from R. I wanted to undrstand both, now i know what is R^2, R left.

    • @statswithbrian
      @statswithbrian  3 месяца назад +1

      I don't have a video on the correlation coefficient r. It's just the square root of R^2, but r will be either negative or positive depending on whether the line is going up or down. For example, if R^2 = 0.49, then r will be either 0.7 (for a line that is going up) or -0.7 (for a line that slopes downward). So r gives you a little more information (the direction), but it doesn't have an easy interpretation - 0.7 doesn't really "mean" anything.
      R^2 is a little more general, because R^2 exists for any type of regression model (multiple regression, or more complicated forms of regression), whereas the correlation coefficient r only applies to simple linear regression where there is 1 predictor variable.

    • @СквозьГоризонт-м7ъ
      @СквозьГоризонт-м7ъ 3 месяца назад

      @@statswithbrian Wow, thanks for the answer. Now i understand.
      You are the best.❤

  • @jann4249
    @jann4249 7 месяцев назад

    wow Thankyou Brian, very clear explaination

  • @providentia3103
    @providentia3103 10 месяцев назад

    good explanation

  • @ramilkerimzade5568
    @ramilkerimzade5568 2 месяца назад

    why we use a formula of (predicted weight = -500+10*height)? Why 500 and 10?

    • @statswithbrian
      @statswithbrian  2 месяца назад

      We don't - I just made those numbers up for the example for easy computation. In reality, we will use the least-squares regression line (which in this example was the predicted weight = -439.286+8.929*height). That's not obvious at all, you'd have to have the data and compute a regression line.

  • @death__ray
    @death__ray 5 месяцев назад

    How is R different from r2? how do you interpret each?

    • @statswithbrian
      @statswithbrian  5 месяцев назад +1

      For simple linear regression, r is just the square root of R^2. They are the same thing basically, except r can be positive or negative, which tells you the direction of the relationship. It doesn't really have an interpretation - values close to 1 are strong correlation. Values close to 0 are weak correlation.

    • @death__ray
      @death__ray 5 месяцев назад

      @@statswithbrian Thanks Brian 🙂

  • @PriyankaRoy-r1g
    @PriyankaRoy-r1g 6 месяцев назад

    can you explain why is your intercept -500? the diagram shows that the intercept of the line should be positive. so why is it negative?

    • @statswithbrian
      @statswithbrian  6 месяцев назад

      The y-intercept is not shown on the graph at all, because the x axis only goes from 60 to 70. X = 0 is way to the left.

    • @PriyankaRoy-r1g
      @PriyankaRoy-r1g 6 месяцев назад

      @@statswithbrian But the regression here is drawn with origin as 0. also the regression line is cutting the Y axis somewhere between 50-100, lets assume 75. so it shows when x=0, y=75, which basically is the intercept. I am a bit confused on this. how is the intercept -500 and the graph shows something else

    • @statswithbrian
      @statswithbrian  6 месяцев назад

      The graph doesn’t show the x=0, so you are reading the graph incorrectly. The equation is correct and you understand the equation correctly, but you are reading the graph incorrectly. There is no y axis.

  • @udayteja6595
    @udayteja6595 9 месяцев назад

    Thankyou very much......

  • @lidarman2
    @lidarman2 11 месяцев назад

    At first I thought this was about R^2 like just the variable squared and not the regression coefficient. :-O

  • @jayp123
    @jayp123 8 месяцев назад

    cheers

  • @4umata
    @4umata 11 месяцев назад

    a.k.a brier score

    • @statswithbrian
      @statswithbrian  11 месяцев назад

      Brier score is more specifically for predictions of binary events, but yes they are very similar!