Covariance Clearly Explained!

Covariance is closely related to Correlation. But what it really says? This video explains covariance with visualizations.
#machinelearning #datascience

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[BrianAmedee]

The fact that I (a math teacher) learnt something new from this, means my students need to see it. Thumbs up my friend

[GMoDiLLa]

I’m a statistics student in my final year of undergrad. I just felt like checking out a video on covariationnas we begin PCA. This is by far the most clear it has ever been explained, and so succinctly! Well done, I feel I can think about it more clearly now.

[YourNerdGal]

This is literally the greatest explanation that I've ever heard. Beautifully animated and very straight to the point. The best video ever on this topic! You saved my life!😊

[oskarvavtar]

Some extra things that would be worth mentioning:
1) in the absence of linearity, the correlation itself may give you very little information. In some cases, data set with Corr = 0.9 might be closer to the one with Corr = 0, than to the other with Corr = 1. In other words, very weak trends (maybe not even worth mentioning) may give you high Corr value.
2) In random generated sets, certain degree of correlation may appear randomly, without a good reason.
3) Not only does correlation not imply causation, causation doesn't imply correlation as well. Take for example y = |x| for x \in [-1, 1]. Clearly y=f(x), yet Corr = 0.

[thecheckplease]

YouTube can't be serious that this video doesn't top their search result! Kudos to the channel. This video seriously deserves every compliment this world can offer. Keep up the great work thanks!

[hariind]

The animations helped me get an idea of what I was calculating for this long :) Maths is beautiful✨

[ReubenSilveira]

Excellent video. Very intuitive and well explained! As someone who's both a student and a teacher of maths, I'm impressed from both angles!

[robertturley]

Fantastic explanation, but one of the things that really sets this apart from some of the others I have seen is that you take time at the end to show the different values for different points. Really a great way to both help people visualize and check if they understood correctly.

[luvshell]

I agree; this video was amazing! And you are so right- the video, in the end, was so good to see what the values look like at different plot points.

[veronicatellnes]

Actually such a good video, the visual representations helped me finally get the inuition i was missing for covariance. Thank you!

[nicolesamuel]

great video! you really helped me to understand in 7 minutes what my proffesor could not in 1 hour! thanks!

[dineshkumare]

this is the kind of explanation we need . 🙂

[tomhaswell]

Incredible explanation and visualization! Thank you!

[jepp]

Instantly subscribed. Please keep up the work! Amazing visualization.

[ChristosMilarokostas]

Amazing intuition and excellent animation! Interestingly, the sign of correlation follows the monotony of sine function in each of the 4 quarters of the unit circle. In the top right quarter [0, 90deg] the sine function is monotonically increasing and correlation is positive, in the top left quarter [90, 180deg] the sine function is monotonically decreasing and correlation is negative and so on.

[Muneh]

that is exactly what i've been looking for for along time, ,, very clear and a big thumb for everything but espessially for the last visualization

[kadidiasaboudoumbia]

This is so well explained. Thank you so much

[dimitrismylonas]

Thanks for this video, you really helped me understand covariance visually.

[montanalee]

Great video, thank you! I finally understand covariance. Very helpful and beautiful visualizations as I study for my statistics final :)

[rishabhnarula]

thank you sir, great teaching and visualizations. 👍😊