Finding and Interpreting the Coefficient of Determination

The coefficient of determination can help us report the explained and unexplained variation of the dependent variable.

[@FratBoyFitness]

I wish I had a teacher like you lol 😅 why is KZbin the best teacher

[@connorforde4236]

Thank you, straight and to the point. Great lesson.

[@michellemarin3237]

Thank you for this very simple explanation! With a now online statistics course, your video was extremely helpful.

[@rvcmathprof]

So glad it helped!

[@crimnvL]

thanks homie

[@mayito3334]

lol

[@ShreyaPednekar19]

This is the clearest explanation ever! Thank you!

[@sontagfamily5611]

I read untold articles including my text book and you explained in within 2 minutes and 47 seconds.

[@rvcmathprof]

Thank you for your feedback! Glad it helped.

[@rhaltunen]

Thank you! Someone finally made sense of this!

[@ccunni3812]

Very good explanation.

[@rvcmathprof]

Thank you, glad you found it helpful.

[@laterwell]

You are a very good teacher, madam. A lot of Respect here

[@justnavarrothings9650]

Is this the same? 90% of the variations in the number of sick days incurred (y) is attributed to the variations in age (x). Thank you.

[@rvcmathprof]

Yes, yours is an application of the concept

[@JacksonNigel]

Perfectly done,.11yrs now.Still using her knowledge 😊🎉

[@alinazia7247]

Thankyou soo much it was really helpful...

[@rvcmathprof]

Thank you for the positive feedback!

[@adrienne220]

Aw my God, I trailed through article after article after article of stuffy old lecturers basically debating whether it was good to use the correlation of determination or not and I found this video and within two minutes I learned how to report it the way I wanted to. THANK YOU!

[@WitnessBengo]

I got a question. If the R as a correlation helps to find us R^2 which is the square of R. Does that mean to avoid memorizing the longest formula of coefficient correlation we can just apply the direct given formula of R^2 as SSR/SST Where SSR Is the total square sum of regression and SST is the square sum of residuals and then square root the results to find R?

[@42luke93]

Thank you. I'm in a data analytics class and the teacher used Data Analysis tool to get R and R^2 but did not go into the meaning of the two variables. But why do we have R and R^2 , what does R mean on its own?

[@42luke93]

In Excel

[@luketannian7503]

Great video ! But how do you calculate r if you don't have it ?

[@sarapearson4461]

Such a helpful video. Thank you for explaining in a very simple manner that is easy to understand!

[@gyaneshkoiry7992]

Thank you for the explanation..... It is straight forward and It helped me a lot

[@Timeofsuccess]

Is Analysis of covariance (ANCOVA) used in the context of linear regression to drive R^2.

[@daltonmiller5590]

Thanks. I was looking for a video on the interpretation of the wording of coefficient of determination. Variation of Y is explained by X. Got it.

[@osirisespinoza5487]

hi very helpful but what would happen if my r is a negative? will I still do the same process

[@arifjahanshanto3157]

simple and precise... Thanks a lot for the lesson ❤️

[@beckya6920]

simple and great explanation. Helpful.

[@salmankhan-lr3yt]

Wow crystal clear explanation

[@mirriamkoim1493]

very clear and simple i wish you are my teacher

[@ldpy33]

So, they both tell us how strong the relationship is between two variables?!

[@grandlong5462]

Great lesson! Thank you.

[@rvcmathprof]

My pleasure!

[@khan-hg6em]

Can I find the other to calculate. The longer one. As the regression equation we have calculated and from there we calculate the coefficient of determination..

[@clarissagarza8]

This is so helpful thank you so much!

[@Keislaforex]

Wow am in love with your simple calculation

[@tabby5358]

Thank you very much! I find this really helpful.

[@ianfrasermobile]

A big thank you from South Africa!

[@amirahizzati7172]

THANK YOU SO MUCH, YOU HELP ME ALOT FOR MY PRESENTATION.

[@jatrana1]

teacher is it the value of R-sequared is same as the value of coefficient of determination?

[@maeregegebrehewotgebremedh5158]

please madam i have one question....when i work my research paper on multiple regression my adjusted R square is become only 0.032 meaning only 3 percent of the variance in dependent variable is explained by my independent variables right??..so is it possible only 3 percent variance?..if not how can increase Adjusted R square??

[@yeny7194]

omg, I love you. Thank you for this video. It helped me answer a question from my HW and my professor was impressed. LOL

[@major_lazer1269]

If it’s not significant, do we do the coefficient of determination?

[@noranshams446]

Amazing explanation. All your videos are very helpful. Thank you so much.

[@knosis]

Straight to the point. Awesome video

[@mitch1884]

how do you work out r. not very good

[@jayaseto]

Curious George Thanks a lot

[@MontyCantsin]

Here's my attempt to explain the point that I think is missing (namely why the coefficient of determination is a percentage of the variation, why that is "explained by X", and why anyone bothers to square r). Without losing anything, you can assume X and Y have a mean of zero. Then the variation of Y can be thought of as the square of the length of a vector pointing in the direction of Y, which in turn is the hypotenuse of a right triangle formed by two vectors: one pointing in the direction of X, and and one orthogonal to it. (Direction and magnitude are with respect to the inner product induced by the probability measure.) The correlation is extracting the cosine of the "angle" between X and Y. The cosine, in turn, is equal to the length of the leg pointing in the direction of X divided by the length of the hypotenuse, which is the standard deviation of Y. The square of the standard deviation is the variation, which is equal to the sum of the squares of the length of the legs. Dividing these two squares of the lengths of the legs by the square of the length of the hypotenuse (the variation) shows you what proportion each contributes to the variation: one contribution from a vector pointing in the direction of x, and one from the remainder. A percentage makes sense with this understanding.

[@popemartinfrankenstein7301]

Thank you for explaining the interpretation so well :)

[@LeMale96]

Wonderfully and simply explained, Thank You so much

[@miltonmbewe4105]

Very helpful thanks

[@rvcmathprof]

So glad it helped

[@olgacsolgaolga3279]

in the end is r once squared =0.94^2, and then once again =(0.94^2)^2? so we get (r^2)^2?

[@NemShrestha]

+OlgaCS olgaolga Nah !!! Just multiplying by 100 to get in percentage

[@mwishakamoses2446]

why is coefficient of determination a square of correlation coefficient?

[@justinsantiago4861]

Thanks this helped a lot to study for my final! :D

[@anshumanbiswal2225]

Why do we say that it(coeff of determination) is a measure of how much of the variation in y is predicted by the variation in x? The two variables are just correlated. By saying this, we are imposing a causal relationship between the two. AHHHH...This is so vexing. Can you or anyone please clarify this doubt?? Thanks...

[@rvcmathprof]

The coefficient of determination is just saying how strong the correlation between the explanatory and response variable is, not that one causes the other. The variation in y can be predicted by the variation in x without x causing y..

[@anshumanbiswal2225]

@@rvcmathprof Thanks Diane...I am more clear about it now.

[@josep4259]

does Having a higher percentage mean the model is a good fit?

[@rvcmathprof]

yes, the closer r^2 is to 1 (or 100%) the better the fit

[@amyemerson2382]

Perfect explanation; thank you!

[@gutsikanaimatanhire1636]

thanks very much!

[@rvcmathprof]

I appreciate your feedback!

[@suryanshverma4155]

❤❤❤❤thank you maam 🌺🌹🌹🌺🎇🌱 Indian 🇨🇮🇨🇮🇨🇮

[@iceking0687]

Thank you, this is a great explanation.

[@adnanjamil9429]

Great explanation

[@voidcat6876]

fantastic explanation!

[@rvcmathprof]

Thank you so much!

[@daviddibble958]

so does rxy = r squared?

[@juliussumaling1444]

thank you. you explained it well..

[@rvcmathprof]

Glad it was helpful!

[@alllisun5298]

How could I find the least squares regression line of the coefficient of determination !?!? This makes me so frustrated

[@Nicety1]

Thank you for this more simple explanation.

[@egggoffy9613]

You are AMAZING!!!!!! Thank you!!!

[@heathersmith6246]

Okay but how do you get r????!!!!!! It's not in your last video like you said

[@TheNewKhahGaming]

wow learned so much in 3 mins.

[@aowens9192]

Wow! That certainly cleared it up for me! THANK YOU! So subscribing to your channel.

[@heavydremer8716]

thanks this helped alot!

[@rvcmathprof]

Thank you for the positive feedback! Glad it helped!

[@Chthonian121]

Literally I'm watching videos of people making graphs means of y minus means of x and all this nonsense I can't understand where all you had to do was square r for the answer.. thank you..

[@rvcmathprof]

Glad the video was helpful

[@chamitharathnayake4865]

Thank you ma'am.💟

[@rvcmathprof]

I am so glad it helped

[@chamitharathnayake4865]

@@rvcmathprof Obviuosly that helped so much.

[@uchindamihara4744]

You are good👍

[@rvcmathprof]

Thanks 😁

[@shahvei]

Thank you soo much!! You really helped me.

[@anatwin5585]

Thank you for this explanation

[@randomnotes4258]

The sensation of watching this video fills you with *DETERMINATION* *file saved

[@rvcmathprof]

Love the pun!!

[@bellejenkins5431]

Thank you so much!

[@Folaganga]

But what do you mean by "explained" and unexplained"?

[@notfrank6586]

where is the video where you find r?

[@amalsaji2032]

Your sound is awesome

[@ErynaWorld]

Thanks for helping me mdm..

[@Jojotefr]

Thank you very much maam.

[@hieconomist7887]

thanks for sharing ....helpful

[@shivamraval1720]

gawd damn that handwritting neat af

[@josemarcelino3721]

Thank you!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

[@mariehernandez4573]

Best lady

[@DimphoTsaModimo]

Thanks you soo much!!

[@pankajkaushik12]

Thanks, nice video

[@bcbrendan56]

Great video!

[@DilshanMarasinghe]

THANK YOU!!!

[@eaglegaming6349]

Thanks

[@achingaster1199]

Thank you!

[@rvcmathprof]

Welcome!

[@rezaarian237]

thank you easy and fast

[@erqiangao642]

great video

[@charmalvarez9717]

thank you so much!!!!

[@mdthoughts7025]

Thanku mam

[@mohamedizzel-deen620]

شكرا يا جده

[@martingdunkley]

thanks so much for this.

[@tindambaraka2357]

thank you mdm

[@julianakimberly]

ok but how do u find r 😭😭

[@nicolehamilton8705]

Lovely, my lecturer's teaching method is useless 😑

[@rvcmathprof]

Thank you for the feedback.

[@ripthelat2568]

very helpful

[@squareyes1981]

Thanks for this

[@prashadchandrasiri8308]

thank you

[@mR-ry1lx]

thanks a lot

[@gregl2249]

awesome!