What is The Correlation Coefficient & The Coefficient of Determination?
Hi! My name is Kody Amour, and I make free math videos on KZread. My goal is to provide free open-access online college math lecture series on KZread using free open-access resources. I rely on generous donations and ad revenue - a special thanks to everyone who helped this channel grow.
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Credit to all of the authors of all of the resources below that greatly helped influence this video. My newer videos are much more original than these videos.
Free open-access online math textbooks:
aimath.org/textbooks/approved...
My favorite number theory textbooks:
Number Theory: In Context and Interactive by Dr. Karl-Dieter Crisman: math.gordon.edu/ntic/
Elementary Number Theory:
Primes, Congruences, and Secrets by Dr. William Stein: wstein.org/ent/
A Computational Introduction to Number Theory and Algebra by Dr. Victor Shoup: shoup.net/ntb/
My favorite programming language:
SageMath (which in my view is categorically more productive than Python, R, Mathematica, Matlab, Maple, Magma, etc - if you're using any of these and they aren't working out, consider switching to Sage): www.sagemath.org/
A free in-depth tutorial for SageMath: doc.sagemath.org/html/en/tuto...
Learn LaTeX in 30 minutes: www.overleaf.com/learn/latex/...
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My favorite math/science KZread channels that I absolutely love (in no particular order):
Zach Star: / @zachstar
Numberphile: / @numberphile
3Blue1Brown: / @3blue1brown
MIT OpenCourseWare: / @mitocw
Khan Academy: / @khanacademy
PBS Infinite Series: / @pbsinfiniteseries
Lex Fridman: / lexfridman
Пікірлер: 26
Dude this is amazing. Honestly man. Been trying to find something that explains this to me for the past 40mins and hit your video. Now I can get on with the work again LOL THANK YOU. KEEP MAKING VIDEOS!!!
fantastic video, great audio quality too and concisely explained. Thank you sir
Thank you so much, this explained it so well!
thanks for this. i'm taking a machine learning course and this really helped refresh my brain!
Nicely done! Thank u.
I think if r=0 it means no LINEAR relationship. There could be a relationship but not linear.
BIG THANKS!
Can you please let me know link of next video where you calculate r of a linear equation
thx easily explained
Thanks. This is good theory. Can you give us some examples? i.e. what an r score of two sets of data mean and what an r squared of the same data sets mean? That would be really helpful. Thanks.
Thank you so much
If you add a lot of independent variables to train the linear regression model,and you end up with a really high coefficient of determination, you risk getting a model that has weird spikes and outliers. Our university prof recommended aiming for a model in the range of 70%-80%
Thank you good sir
Well explained what is r and r2.
Helpful ty
I was watching to understand the difference between r and r-squared. "so lets talk about the difference between r and r-squared.." - gives definition of r-squared - says it's a weird explanation but here's how he approaches it in real life (practically) -- the idea is I never use the correlation coefficient (r).. never, ever.. still a good video, i just have to look elsewhere for "r" thumbs up! I think my question is, where does (r) come into play, other than with helping to understand the +/- relationship with the slope? thanks
Dude thanks !
Thank u.
If my r2 is 0.95, then does that mean that the predicted y of the regression line has a +-5% error? Should it be used as a factor of safety?
@dailyStewie504
Жыл бұрын
It means that your dependent variables (Y) are explained by 5% of other factors and not the independ varibles (X).
If R =0.712 what's that correlation
Hi, R and r are not the same thing. r deals with x and y, while R deals with multiple x variables and y.
Thanks !! Well explained
thx
for nonlinear , R^2is not equal to r^2.
Sir you are beautiful. Ok thank you. I've got my paper in 3 hours from now. Pray. Ok bye.