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

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  • Опубліковано 16 січ 2025

КОМЕНТАРІ • 62

  • @joshemman
    @joshemman  2 місяці тому +1

    Simple Linear Regression Problem Solved - ua-cam.com/video/cMZBOm7XMls/v-deo.html

  • @alteredkill6109
    @alteredkill6109 9 місяців тому +20

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

  • @cheeseopedia6500
    @cheeseopedia6500 Рік тому +23

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

    • @joshemman
      @joshemman  Рік тому +2

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

  • @littlepagesforlittlelearne4336
    @littlepagesforlittlelearne4336 2 місяці тому +2

    This was SO helpful! It's amazing how much information you can pack into an 8 minute video. Your explanations were clear, concise, and easy to process. Thank you!!

  • @jdll-te3ly
    @jdll-te3ly Рік тому +11

    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! 🙌💯

  • @tayana0lolo
    @tayana0lolo Рік тому +9

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

  • @TheJoeltodd
    @TheJoeltodd 9 місяців тому +1

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

  • @jacquelinesilerio1838
    @jacquelinesilerio1838 2 роки тому +8

    Thank you for these videos! They are very helpful!

  • @deepasri467
    @deepasri467 12 днів тому

    The content is very clearly explained.I find it the best video of explaining coefficients of MLR.

  • @mosesehijie3265
    @mosesehijie3265 Рік тому +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  Рік тому +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 11 місяців тому +2

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

  • @sajjadabouei6721
    @sajjadabouei6721 Рік тому +1

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

  • @mapa5000
    @mapa5000 Рік тому +5

    outstanding explanation ! Thank you !

  • @nahumyehdego8612
    @nahumyehdego8612 Рік тому +2

    This video is amazing, thank you!

  • @DieWundeBliebt
    @DieWundeBliebt Рік тому +1

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

  • @nadiaenih9178
    @nadiaenih9178 Рік тому

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

  • @Falco.
    @Falco. 6 місяців тому +2

    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  6 місяців тому

      My pleasure. Thanks for dropping a note.

  • @sydneyverge6961
    @sydneyverge6961 Рік тому +1

    Do you offer tutoring? You are a great teacher!

  • @suryaupadhyay688
    @suryaupadhyay688 2 місяці тому

    Thank you so much ❤❤❤

  • @tiberiusmose9884
    @tiberiusmose9884 Рік тому +1

    thank you for your lecture

  • @muhammadkhurramshabbir5321
    @muhammadkhurramshabbir5321 4 місяці тому

    Really good explanation.

  • @ericomeli2235
    @ericomeli2235 9 місяців тому +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  9 місяців тому +2

      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 9 місяців тому +1

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

  • @hakiri9072
    @hakiri9072 Місяць тому +1

    If p-value is greater than 0,05 in a dummy variable from discrete variable, and the others are 0, whats the interpretation? Thanks.

    • @joshemman
      @joshemman  Місяць тому +1

      When the p-value for a dummy variable is greater than 0.05, while the p-values for other variables are less than 0.05, the interpretation is as follows:
      1. The dummy variable is not statistically significant at the 0.05 level in predicting the dependent variable.
      2. This suggests that there is no significant difference between the categories represented by the dummy variable in terms of their effect on the dependent variable.
      3. The other independent variables with p-values less than 0.05 are considered statistically significant predictors of the dependent variable.

    • @hakiri9072
      @hakiri9072 Місяць тому

      @@joshemman Thankss

  • @helloitsnan6018
    @helloitsnan6018 Рік тому +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”?

  • @oluyomiamos2862
    @oluyomiamos2862 Рік тому +1

    Thanks so much for this video

  • @nias2156
    @nias2156 Місяць тому +1

    i hope your pillow is the perfect temperature when u go to bed every night 🫶

  • @sinansuleiman
    @sinansuleiman Рік тому +1

    Amazing

  • @blessingokon255
    @blessingokon255 2 місяці тому

    Waw. The best explanation I have seen ❤❤❤❤
    Please can you use animal science field for this same video? I'll like to watch it.... thanks

  • @mahindrachilukuri1260
    @mahindrachilukuri1260 Рік тому

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

  • @selimgabsi
    @selimgabsi 3 місяці тому +1

    Good video

    • @joshemman
      @joshemman  3 місяці тому +1

      Nice to hear. Thanks.

  • @alexanderfischer541
    @alexanderfischer541 Рік тому

    beautiful.

  • @statisticslearning
    @statisticslearning Рік тому +1

    Very good ..m also a lecturer of statistics

    • @joshemman
      @joshemman  Рік тому

      Thanks for dropping a note. Much appreciated.

  • @arrrigatoru2879
    @arrrigatoru2879 Рік тому

    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?

  • @knowledgedrah
    @knowledgedrah 9 місяців тому

    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  9 місяців тому

      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.

  • @Ogg_skimmer
    @Ogg_skimmer 11 днів тому

    abeg oo is this for machine learning or statistics, we haven't contacted anything like degree of freedom (df) in machine learning

  • @evelynfurtado1240
    @evelynfurtado1240 8 місяців тому

    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?

  • @SandeepKumar-sg7ou
    @SandeepKumar-sg7ou Рік тому

    How to estimate the ratio of MVP AND MFC

  • @varshapatil3566
    @varshapatil3566 Рік тому

    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  Рік тому +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.

  • @hrehrjrjj5
    @hrehrjrjj5 2 роки тому +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  2 роки тому +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.

    • @hrehrjrjj5
      @hrehrjrjj5 2 роки тому +1

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

  • @delinemadzore
    @delinemadzore 2 місяці тому

    This is wonderful, but I didn't understand where n=34 coming from

    • @joshemman
      @joshemman  2 місяці тому

      See 0:05. The first line says n = 34. That is the number of observations in the analysis.

  • @shewayebelayneh2004
    @shewayebelayneh2004 11 місяців тому

  • @bontu4018
    @bontu4018 2 роки тому

    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  2 роки тому +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)

  • @Charcharmr
    @Charcharmr Рік тому

    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