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Multiple Regression | Coefficients - Interpretation, C.I, Hypothesis Testing

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  • čas přidán 16. 08. 2024
  • This is a short walkthrough of the coefficient portion of the multiple regression software output.
    Part 1: F-test, R-square, Se: • Multiple Regression | ...
    ===
    00:00 Intro
    00:21 Population and Sample Models
    01:23 Constant or Intercept
    01:47 Interpreting coefficients
    02:47 Confidence Interval for Coefficient
    03:52 Point prediction
    04:32 t-tests
    07:04 one-tailed test

Komentáře • 45

  • @cheeseopedia6500
    @cheeseopedia6500 Před rokem +15

    Thanks for the clear and straight-to-the-point video. No lengthy intro and outro, but short with examples and visualizations. Great!

    • @joshemman
      @joshemman  Před rokem

      Thanks for the feedback, Cheeseopedia.
      Glad you like it.

  • @alteredkill6109
    @alteredkill6109 Před 4 měsíci +6

    This is by far the best multi regression video I have seen

  • @jdll-te3ly
    @jdll-te3ly Před 10 měsíci +8

    Wow, this video explained linear regression so clearly! I've been struggling to grasp this concept, but your explanation really made it click for me. Thank you so much, Joshua Emmanuel! Your dedication to educating young black people like me is inspiring. Please keep up the fantastic work - we need more educators like you empowering us to excel in these fields! 🙌💯

  • @TheJoeltodd
    @TheJoeltodd Před 4 měsíci +1

    This was so helpful. It made my research into multi-factor models in finance much easier to understand. Thank you very much.

  • @tayana0lolo
    @tayana0lolo Před rokem +7

    This was so clear! Everything makes sense now, thank you so much!

  • @jacquelinesilerio1838
    @jacquelinesilerio1838 Před rokem +7

    Thank you for these videos! They are very helpful!

  • @mapa5000
    @mapa5000 Před rokem +4

    outstanding explanation ! Thank you !

  • @Falco.
    @Falco. Před měsícem +1

    Prof Emmanuel to the rescue! I was trying to figure out what were these coefficient β that were pulled out of nowhere in my chapter about Design of Experiment

    • @joshemman
      @joshemman  Před měsícem

      My pleasure. Thanks for dropping a note.

  • @sajjadabouei6721
    @sajjadabouei6721 Před 9 měsíci +1

    man this was great
    more than what I expected it explained the whole thing together as a package
    keep it on 🔥🔥🔥🔥🔥🔥

  • @mosesehijie3265
    @mosesehijie3265 Před 7 měsíci +3

    Thank you so much sir, but im unclear about 3:52, in the question it is stated as 10 years but while solving you used 96 months which was 8 years based on the conversion

    • @joshemman
      @joshemman  Před 7 měsíci +2

      You’re right. I changed the question to 96 months at 3:52 but forgot to go back and change it at the beginning (0:00). Thanks for pointing it out.

  • @muazaljuneidi5880
    @muazaljuneidi5880 Před 6 měsíci +1

    Amazing! that is exactly what I was looking for, thank you!

  • @nadiaenih9178
    @nadiaenih9178 Před 11 měsíci

    Thank you so much Emmanuel. This video is so explanatory.

  • @nahumyehdego8612
    @nahumyehdego8612 Před 9 měsíci +1

    This video is amazing, thank you!

  • @DieWundeBliebt
    @DieWundeBliebt Před rokem +1

    This made so much sense. Thank you!!!!

  • @ericomeli2235
    @ericomeli2235 Před 4 měsíci +1

    for the t-tests, please explain why you use two-tailed test for the other variables and one-tailed test for the last variable.

    • @joshemman
      @joshemman  Před 4 měsíci +1

      7:03; if you’re testing whether the coefficient is positive or negative, then it is a one tailed test. If you’re simply testing for significance (without a specified direction), then it is a two-tailed.

    • @ericomeli2235
      @ericomeli2235 Před 4 měsíci +1

      @@joshemman thank you so much for the help and quick response

  • @mahindrachilukuri1260
    @mahindrachilukuri1260 Před 10 měsíci

    This Helped me a lot for my exam Tq so much 😊😊

  • @tiberiusmose9884
    @tiberiusmose9884 Před rokem +1

    thank you for your lecture

  • @oluyomiamos2862
    @oluyomiamos2862 Před 9 měsíci +1

    Thanks so much for this video

  • @sydneyverge6961
    @sydneyverge6961 Před 8 měsíci +1

    Do you offer tutoring? You are a great teacher!

  • @helloitsnan6018
    @helloitsnan6018 Před rokem +1

    Hi,
    I have a quick question. Why does it says “8-years” 4:13 when at the beginning 0:00 “c)…10-year-old”?

  • @arrrigatoru2879
    @arrrigatoru2879 Před 9 měsíci

    Thank you for the explanation, it is very clear and helpful!
    I have a question what should I do if some of the parameters for example maintenance of the house depend on price,room numbers or region but not directly? is it correct to make this type of analysis with such parameters?

  • @statisticslearning
    @statisticslearning Před 8 měsíci +1

    Very good ..m also a lecturer of statistics

    • @joshemman
      @joshemman  Před 8 měsíci

      Thanks for dropping a note. Much appreciated.

  • @akhilgupta1792
    @akhilgupta1792 Před rokem +1

    Thanks for the video!
    I have a question.
    When testing the significance of predictor variables, we used Beta not equal to 0 as Ha, but for Distance, we used Beta < 0.
    Just like Distance, can we use Beta > 0 for the other independent variables?
    If yes, can we also use Beta not equal to 0 for testing the significance of Distance?

    • @joshemman
      @joshemman  Před rokem +1

      Yes, you can use Beta not equal to 0 for testing the significance of Distance. I used Beta > 0 as an example of a right-tailed test.

    • @akhilgupta1792
      @akhilgupta1792 Před rokem +1

      @@joshemman Oh okay. Thank you for the quick reply!

  • @sinansuleiman
    @sinansuleiman Před rokem +1

    Amazing

  • @evelynfurtado1240
    @evelynfurtado1240 Před 3 měsíci

    Hii, if i have a model that as a whole is not significant, but one of the independent variables is significant, can i still report the result just for that indeoendent variable?

  • @bontu4018
    @bontu4018 Před rokem

    Thank you for these videos
    I have on question
    how to a form product dd for the least period is given below period dd period 1,2,3,4,5,6,7,8,9 dd 44,52,50,54,55,55,60,56,62 develop a linear trend equation ,predict the dd value for the next period and find the regression equation solution

    • @joshemman
      @joshemman  Před rokem +2

      Use Excel or Google sheets:
      X = 1,2,3,4,5,6,7,8,9
      Y = 44,52,50,54,55,55,60,56,62
      use
      =SLOPE(Y, X)
      =INTERCEPT(Y, X)

  • @alexanderfischer541
    @alexanderfischer541 Před rokem

    beautiful.

  • @knowledgedrah
    @knowledgedrah Před 4 měsíci

    Don't understand y u use the student t test instead of the z test to construct the 95% confidence interval since the sample size was large thus greater than or equal to 30 and the standard error of population given

    • @joshemman
      @joshemman  Před 4 měsíci

      People use Z when sample is large just as an approximation since t-tables may not include large t values. Also note that the standard error is based on the sample, not population.

  • @varshapatil3566
    @varshapatil3566 Před rokem

    At 3.49, Actual value of Age coefficients is 1.35. At 95% confidence, Age values interval is between -3.8 to 6.6.
    It means our regression coefficient from -3.8 to 6.6 is allowed or what?

    • @joshemman
      @joshemman  Před rokem +3

      You will say you are 95% confidence that the true Age coefficient lies between -3.8 and 6.6.
      That is, with repeated sampling, you expect the true Age coefficient to be somewhere between those two values in 95% of the samples.
      You can look up definition of confidence intervals to learn more.

  • @SandeepKumar-sg7ou
    @SandeepKumar-sg7ou Před 9 měsíci

    How to estimate the ratio of MVP AND MFC

  • @shewayebelayneh2004
    @shewayebelayneh2004 Před 6 měsíci

  • @Charcharmr
    @Charcharmr Před 8 měsíci

    Hi Prof Emmanuel. Please, I need ur email, I can't chat with you on LinkedIn either I quess I need to have a prenium account