Statistics 101: Linear Regression, Test and Interval for the Slope

In this Statistics 101 video, we test and construct the interval for the slope. To support the channel and signup for your FREE trial to The Great Courses Plus visit here: ow.ly/xVD030fiZ8S
So in this video, we will talk about doing a significance test with a slope of your regression line. Now, this is very important because the outcome of this test will really tell you whether or not you have a viable regression model. It's one of the fundamental things about linear regression. So I'll try to keep it simple, keep it visual, so you can understand what's actually going on in regression.
So if you are new to Regression or are still trying to figure out exactly what it even IS...this video is for you. Sit back, relax, and let's go ahead and get to work.
My playlist table of contents, Video Companion Guide PDF documents, and file downloads can be found on my website: www.bcfoltz.com
#statistics #regression #machinelearning
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Пікірлер: 43

  • @MarcoVuerich
    @MarcoVuerich4 жыл бұрын

    I do not ever comment a KZread video, but in this case I've felt the necessity to do that. Thank you Brandon for these great tutorials. You're greatly helping a PhD student here in Italy!

  • @celvanna2692
    @celvanna26922 жыл бұрын

    Thank you so much for these videos! and thank you for continually repeating what the values are in conceptual definition. I am good at numbers but I am terrible with combining meaning to the numbers. So having you continues repeat what every value represents throughout these videos has really help solidify their meaning. Thank you so much for that, the visuals, and going over things multiple times. I hope you find making these videos as rewarding as we are grateful to have them!

  • @DeanDavisMarketing
    @DeanDavisMarketing6 жыл бұрын

    I love this!! Thank you Mr. Foltz

  • @ganeshrkamath8781
    @ganeshrkamath87815 жыл бұрын

    Hii Brandon..All i can say is great thank you to you.Just because of you im understanding statistics!! thanks a lot!!!

  • @nomcognom2332
    @nomcognom23326 жыл бұрын

    Accurate as always. Thumbs up.

  • @mmmommm237
    @mmmommm2376 жыл бұрын

    I watched all your vids as a recap for my phd. I am a little rusty :) thank you for everything!

  • @snigdhasinghvi7603
    @snigdhasinghvi76034 жыл бұрын

    Love your lessons! Very helpful. SUGGESTION: You could give a few questions for practice before you start the next video to ensure we get a stronger hold of the topic discussed! Thanks.

  • @ramikhrais2189
    @ramikhrais21896 жыл бұрын

    Thank you so much dear Brandon for these amazing tutorials. Do you have any plans to introduce tutorials about time series?

  • @SiyaMedia

    @SiyaMedia

    5 жыл бұрын

    Rami Khrais I have also asked the same question on LinkedIn

  • @elizabeth84323
    @elizabeth843234 жыл бұрын

    you helped me understand a grad level class in statistics! Thank you!

  • @N0rmad

    @N0rmad

    3 жыл бұрын

    Is this really grad level stuff? I would've thought this was undergrad statistics.

  • @ginginong-cornel2136
    @ginginong-cornel21362 жыл бұрын

    This is so helpful (all the videos!)

  • @yichengliu4257
    @yichengliu42576 жыл бұрын

    Thanks so much !

  • @maskalon9505
    @maskalon95054 жыл бұрын

    Your videos are absolutely great. I have one small notion to this one. I guess it's for simplification, but from a scientific view we cannot say that we are 95% confident, we can only say that, in the long run, 95% of confidence intervals that we model for samples from that population will not contain 0. Because a confidence is not a quantifiable concept in the sense of accuracy in statistics. I think it is not arbitrary to understand this slight difference when it comes to critical evaluation of one's data analysis. However only a tiny though I had about this. I love your videos and you help a lot of people here. Keep it up. ❤️

  • @manojsubedi1643

    @manojsubedi1643

    4 жыл бұрын

    He elaborated on this in his old lecture. It means that we can confidently say that out of 100 times of sampling in the same population, the value of b1 in each sampling will fall between the given interval at 95 times.

  • @amirrahimi212
    @amirrahimi2122 ай бұрын

    thank you

  • @RiteshKumar-lh1xn
    @RiteshKumar-lh1xn4 жыл бұрын

    Can you suggest how to find the standard deviation of intercept, intercept being another point estimator. That will be of great help. Thank you.

  • @amirrahimi212
    @amirrahimi2122 ай бұрын

    excellent

  • @christianc8265
    @christianc82656 жыл бұрын

    And how can I get the Prob > |t| column. Is it correct in R doing "pt(-3.4584,4) * 2" which gives 0.02585547? The "* 2" because it is a two tailed problem and for the negative I am not very sure but I think because _pt_ is growing from the left?

  • @MashiroRedo
    @MashiroRedo3 жыл бұрын

    Great vid, anyone know where the t .5/2 came from? Looks like the t value in the ANOVA table but wasn’t sure

  • @nabajyotidey2832

    @nabajyotidey2832

    Жыл бұрын

    Two tail t test

  • @rossjohnson2220
    @rossjohnson22205 жыл бұрын

    thanks very much Mr. As a liberal arts graduate, through your wonderful course, I start to apprecate the power and greatness of statistics.

  • @suinkim7836
    @suinkim78364 жыл бұрын

    Can you tell me how you ended up getting t.05/2? Everything will be appreciated :)

  • @Humiliator115

    @Humiliator115

    4 жыл бұрын

    thats because its Two-tailed t-test (its just 2,5% at the left and right side (tail) of the distribution that gives you together 5% when you go for 95% confidence)

  • @christianc8265
    @christianc82656 жыл бұрын

    But how do we get the standard error of the intercept?

  • @ronaldpereira4436
    @ronaldpereira4436 Жыл бұрын

    Thank you so much for your videos, I just have a question on how to calculate the Intercept std Error and T ratio as show in the table Also the Prob> t 0.0259 - how is that calculated - Iknow you said it is taken from the back of the book of the table - which table is that ? as we would need the z stat to be caclulated if we were to look up the normal dist table -how do you calculated the z stat here? Hope to hear back, thanks

  • @adilsalim105
    @adilsalim105 Жыл бұрын

    @ 18:00 t vs. t critical, how does it tell us that it is significant. If the T ratio (3.46) is bigger than the t value (2.776), will it be significant? Can someone please explain?

  • @empaulstube6947
    @empaulstube69474 жыл бұрын

    12:45, should it be called Standard Error rather than Standard Devlation of the Slope?

  • @hussameldinrabah5018

    @hussameldinrabah5018

    Жыл бұрын

    Standard error for the full model, but sd for slope is just the standard error for the slope term.

  • @N0rmad
    @N0rmad3 жыл бұрын

    What does it mean for the slope to have a standard deviation? I don't quite understand that. We have one regression line with one intercept so where is the intercept "deviating" for us to even get a standard deviation?

  • @Abha-com

    @Abha-com

    2 жыл бұрын

    I also had same doubt. My guess is intercept is calculated from the data we have at hand which is only a sample of a large population. If we take another sample, intercept might change. So slope has a chance of getting many values, that’s why there is standard deviation. Remember central limit theorem analogy. Just my thoughts…

  • @chandanrajanna705
    @chandanrajanna7053 жыл бұрын

    how is the value .0259 obtained

  • @youcefyahiaoui1465
    @youcefyahiaoui14652 жыл бұрын

    Hi Brandon, I am not sure if you're still supporting this material. On the table at minute 8, why is the Sum of Squares the same as the mean Square? Isn't the Mean square at least the sum of the squares divided by n-df? Can someone comment on this if Brandon does not have the time to answer? I will appreciate that. Thank you in advance.

  • @Pefico
    @Pefico5 жыл бұрын

    Hi. It seemed like this video was not dealt by you. It was less descriptive. The voice was bit strange. Am I wrong?

  • @martynasvenckus423
    @martynasvenckus4234 жыл бұрын

    So the standart error of the estimate is sigma or just s? I am confused with the notation....

  • @MrRollieOllie
    @MrRollieOllie5 жыл бұрын

    Small error you have t-value of 2.776 which is t-value for 4 degrees of freedom but 97.5% confidence interval not 95% should be 2.132

  • @mrraam2151

    @mrraam2151

    5 жыл бұрын

    No, you are wrong. 2.132 is 90% confidence level but I guess he was talking about 95% CL for which the value 2.776 is correct

  • @russellkemmit73
    @russellkemmit734 жыл бұрын

    why do we do n-2 ?

  • @victorcannestro3878

    @victorcannestro3878

    3 жыл бұрын

    n observations of sample data - 2 parameters we're estimating (slope and intercept) = the # of degrees of freedom. It would be just n if we had access to the population data.

  • @russellkemmit73

    @russellkemmit73

    3 жыл бұрын

    @@victorcannestro3878 Thanks

  • @andrev142
    @andrev1423 жыл бұрын

    Are you assuming that your population has a normal distribution? Since you're using parametric tests... What happens if it isn't normal?

  • @andrev142

    @andrev142

    3 жыл бұрын

    Great lessons by the way!!

  • @--ShivaS

    @--ShivaS

    2 жыл бұрын

    He assumed it based on central limit theorm ig...