Statistics 101: Understanding Covariance

[@thsiisme]

honestly i wish 70% of my tuition could go to people like you......

[@alidzhonaminov5650]

Agree!!!!!

[@wenyichu3486]

"You may just have a temporary tough patch." You are so encouraging! Thank you!

[@kmellee]

These videos are fantastic! After taking stats courses from multiple professors, I found that my knowledge of stats is jumbled and all over the place. Your videos are easy to understand and explain how all concepts fit together, which is exactly what I needed. Thank you so much for your time and effort into these videos! Also, as someone who gets a bit anxious about stats, the inspirational message at the beginning of the video was so lovely - your passion for teaching shows!

[@katiecunnah5081]

Feel totally the same

[@CorDeGeleia]

Honestly, best explanation of covariance I ever heard

[@mandelbro777]

Very, very clear, structured and visual demonstration of Covariance. > "Fire all the tutors and professors, we've found THE GUY !!" - Me, 2020

[@BoutinMathieu]

I really like your videos, you teach very well. You are very comparable to Salman Khan from Khan Academy. We need teachers like you on KZbin!

[@BrandonFoltz]

That is very kind of you Mathieu. Sal is an inspiration to so many of us, but I think more so that people like him and me are even more inspired by you; the learners we seek to help. Keep working hard and never stop learning! - B

[@guilhermehigashi]

+Brandon Foltz that was a really kind statement :)

[@Qbabxtra]

+Brandon Foltz Yeah i agree with you Brandon. Mathieus compliment was well written, but not a A+ compliment, so a -B grading is justified.

[@indigolight22]

I have been going through a lot of video's regarding the subject of statistics (for university). Many other authors video's were sometimes confusing, but your video's were thorough, clear and well-build. Thanks for your video's, I hope they contribute financially as you deserve it! Greetings from Belgium.

[@KristiLeeVan]

THANK YOU, THANK YOU, THANK YOU! For the past 6 hours, I have read and watched videos on covariance to try and solve this one problem with no success. After watching your video, I worked the problem and immediately got the correct answer. You sir, are my hero!

[@fatememont6810]

i love you man. i keep going through my instructor's lectures a thousand times but i just won't get it until i watch your videos because he fails to describe basic things before he goes into deeper more complex stuff. you are literally saving my life this semester!

[@i-fanlin568]

you teach so well! Through your teaching, I can easily understand the concept of covariance. Deeply appreciate.

[@jms007roks]

I never though statistic can be so simple, your delivery of the content is so perfect that i will never forget the Covariance. Thanks a ton to you for preparing such a simple but strong concept.

[@zatizsumkoolshyte]

Brandon, you are an amazing teacher who explains concepts clearly and concisely. A lot of thought and planning must have gone into making these series of videos to make them easy to comprehend. Thank you very much for making learning so much easier for me! :)

[@forbanch]

One of the best explanations of the concept that I've seen.

[@shankarnarayanb]

The sample variance always tends to under estimate the dispersion when compared to population.To compensate for it, its advised to divide the quotient by (n-1) rather than 'n'. Brandon great job with the videos and keep up the good work.You are real inspiration for the rest of us!!

[@BrandonFoltz]

Hello! Thank you for your comment and for watching. My goal is to explain the basics so that you can take it from there on your own. Glad you are finding them helpful. Keep on learning; never stop! - B

[@balajicanchi5538]

I haven't come across any better presentation for this topic, Well Said in a simple and easy way!

[@armytheludher]

+1 for explanation and tutorial +1 for motivation bravo Mr. Brandon !

[@richardgordon]

Thank God for Brandon Foltz and people like him. Somebody who can explain things simply and clearly!

[@akshaymathur8623]

I have been binge watching your videos for past 2 days and I have completed 3 playlists.

[@ashleyterik1754]

You were born to be a teacher! Keep doing what your doing! You are great!

[@louiswhittington7506]

I found this video very helpful and easy to understand. I would recommend it to anyone who wants to understand the basics of covariance

[@neotizok]

It is because of people like you that the world is a better place. Thanks for this video man!

[@carolharris2401]

I really wish I had discovered your videos along time ago. It would have saved me a lot of confusion and frustration. Thank you!!!

[@Maya7346]

Brandon, I would like to formally thank you for saving my grade!! I have a final exam tomorrow and I am so glad I came across your channel cause I feel so much more confident with the knowledge you have blessed everyone with! You're awesome and sooo helpful, thank you

[@RandomChela]

Omg! Thank you so much! This is awesome! I am taking a multivariate analysis course that is kicking my butt because I am still lost with bivariate relationships. Please keep these videos coming!

[@jordanhuusy]

you are a very efficient teacher in that you don't take a piece of the puzzle for granted, leaving a student confused. keep it up!

[@amanhlanesc]

What a wonderful teacher you are !!! Stay blessed.

[@rowlandgoddy-worlu3382]

If instructors were like this, education would be so much easier. This is as simple as possible. Thanks, Brandon, for the explanation.

[@BrandonFoltz]

Thank you so much 🥰 Having it be that beneficial to you makes it all worthwhile. Most instructors have good intentions, but are often run ragged.

[@BrandonFoltz]

@kritpaco Oh thank you so much for your very nice comment! I do believe in trying to make these concepts as concrete as possible with examples so you can see them in the real world. Hang in there and keep learning! All the best, B.

[@gregsnook1]

You sir are seriously a saint. I may be late to the party but expect another view of every video you have put out and will put out.

[@euniceurama7143]

Brandon, you have saved my life. I have been struggling with my Financial Management class and you have just given me hope. I love this video and I am going to share this with my fellow students. You are awesome. This is the first time I am watching your video. I need to know how I can go and find all your videos that is relevant to what I need. Thank you so much and may God bless you. You are a blessing to people like me. You deserve a national award for the best KZbin teacher ever. The words of encouragement you gave me at the end of this video is worth priceless. Thank you so much. Eunice Urama

[@wanpokke]

You are a gentleman and a scholar. Thank you for making this video for all to learn from.

[@VijayRajanna]

Covariance is a simple concept, but many fail to teach/understand the intuition behind it. You did a great job !!! The best explanation.

[@ragsanoor]

So lucid... so effective .... even a child can understand what u r explaining... Thank you very much Sir...

[@kumar0708ajit]

I can't thank you enough Brandon on creating these videos that breaks down complex topics in such easy to understand way. 1 fan up.

[@anthonygoldie6961]

Your videos continue to simplify things and help me understand things my university lecturer, nice guy that he is, does not explain well. Thank you!

[@justmeva]

Thank you for putting your lectures on KZbin. They have made my class life a lot better. Your lectures are clear and concise. Not only that but they far exceed my classroom lectures and materials.

[@SufiM]

You are AWESOME!!!!!!!!!!!!!! One of the finest stats teachers around!

[@BjrnToreRakkenes]

I have seen a lot of instructive videos but you deliver the best I have seen. I have only seen this one till now but I will definitely see more! Thanks!

[@BrandonFoltz]

Thank so much! I appreciate you watching and learning. Glad you found them helpful. Keep on learning!

[@ghadaalbukhaiti9160]

I really like how you explain statistics in great smooth way , you make it very interesting and want to watch all your videos. Thank you!

[@youthf7c343]

Thank you Sir, I finally understood the concept of Covariance

[@s.manikandaprabusivaprakas8108]

simple understanding methodology of teaching complex subject statistics hats off to your teaching style...

[@catragmitch]

These videos are really very wonderful. Even doing a high level, they are helpful for the basic concepts. Would love it if you'd get into more complex topics: clustering, time-series analysis etc

[@snsism503]

Hi Brandon, i am from India, planning to make my career in business intelligence. Must say, even though i had done some basic stats in my school and remember some part of it, i have never been so clear and confident of my concepts of stats like i am now after following you videos on KZbin. This is pure gold for free ! I am recommending this channel to my peers if they are really interested in clarifying their concepts in stats

[@onurucar1112]

I still can't believe that you're giving these away for free. I paid thousands of dollars to my college to get my statistics problems graded I learned how to solve from your videos.

[@kritpaco]

fantastic video! i especially like the fact that you explain not only how to calculate covariance but show how it is used in reality so that it is not just an abstract concept, but something of practical use that i can relate to the world around me, keep up the good work

[@mahiji5735]

The easiest and the best explanation.

[@rhoninpowers]

another great video...I actually worked through the table example using an excel spreadsheet...I know almost nothing about excel...however in the few short minutes of watching you input formulas manually in excel like you did in that previous video...I WAS ABLE TO DO THE SAME THING FOR THE TABLE EXAMPLE IN THIS VIDEO... thanks again for sharing beyond the knowledge...but your unique way to really teach this stuff in a universally accessible way.... oh and thanks for helping me conquer and find a new love of excel. Worked around it for years... now can work "within" it. You're the best!!!!!

[@patticmcconnell]

Great teacher. I just wish all teachers could follow your lead!

[@lyveng1988]

I guess I'll be a statistics ninja if I finish watching all your videos. Thanks man. Your slow and steady teaching is very helpful for people like me who don't have much statistics experience.

[@mirjalolm4749]

this video makes me understand completely about Covariance.So many thanks

[@violetacorlatan3288]

Thank you very much for your videos. This is so much clearer than in my class. I understand so much better. Thank you for taking the time to do this.

[@abrahamgreenidge]

Dudeeeeeeeeeeeeeeee!!!!!! you are an explainer for life, i understood it better with this vidoe than when am in class..thanks, now go make more

[@ifeomaoraemesi8074]

i love how you teach and how you start with encouraging words. u make the course so easy

[@prabhapanth6762]

Thank you, you have explained it very well. Usually in class, only the formula is given, and we are asked to solve the problems, but are not told what is its significance, and when to use it.

[@aleksagordic9593]

Bravo! Giving us both the geometrical/conceptual intuition and numerical intuition and also in the right order! That's the right way to explain stuff.

[@cbaide100]

Superb videos. Very clear, concise and to the point with real life examples to nail down in our brains the knowledge the videos convey. Understanding the lesson taught in the video gives me a sense of confidence because now I know.

[@nbowes37]

Thank you for taking the time to do this. You taking the time to explain this in a very clear and logical way. I understand your videos better than the ones produced by my school.

[@maxdesancha6025]

These videos are still helping people 5 years on. Many thanks!!

[@Guidussify]

update: these videos are still helping people 11 years later!

[@imzan3650]

After four years I am again on your videos man. Thank you for what you have done here

[@dontstopshoeshop]

Thank you so much for these videos. I'm a graduate student and was feeling completely lost and hopeless. Thank you for helping me feel more positive and explaining things clearly. I will be sure to share your videos and will continue watching to get me through this semester. You rock!

[@AndyRyanTX]

You explain this so much better than my statistics book. You explain it in a way that a human being can understand. Why can't they all make it sound this easy?

[@imzenmohmed7076]

this is what i was looking for EXACTLY ! its rare to find something like this nowadays...... thanks for your effort MR.

[@erschwab08]

Love your kind and patient approach. These videos are making stats make sense to me...so grateful!

[@kumaranjothikumar8176]

Thanks a million! You have no idea how helpful this video has been! Thanks!! And that part on not giving up, it really was a boost for me!

[@BrandonFoltz]

Oh you are welcome! But YOU are the awesome one :) Coming on here and making the effort to learn deserves the real praise. Hang in there! All the best, B.

[@supriyabisht5637]

A nice and simplified video. I was so scared at the start because I am trying to understand Factor Analysis for work, but I was aware of what covariance matrix is in EFA. At least now I know what Covariance is and can focus on the Matrix next.

[@AlekoOs100]

I was too confused about the covariance - correlation thing until know. Just thank you!

[@katepawlak1467]

The best statistics info on the web. Great details, very informative, well organized, good examples. Thank you!

[@theresadavis1171]

Brandon, thank you so much. I am in a class and you explain it so much better than our instructor. You are the man sir.

[@BrandonFoltz]

Thanks Gus! I get several comments a day from people who like the intro/outro bits, and one can always fast forward. :D

[@sfernandezponce]

This is the fifth video I watched on the topic because I could not get my head around it. I am grateful to have found your channel, and I will stick to your explanations going forward. Super clear and helpful. Extra points for the motivational message at the beginning...definitely puts you at ease...

[@ayamsakata5004]

You explained it far better than my instructor. thank you so much. God Bless :)

[@malcolmseanhealey]

Great resources. I'm ploughing through your videos for my basic statistics and eventual advanced statistics courses. I find this particularly interesting as a good explanation of the basic concepts and applications, before I start on the lectures, exercises and ultimately exams. I find it a very good way to go "back to basics". Thanks a bunch and please keep up the good (charity) work!

[@ajitkumar15]

I have been watching so many videos on KZbin for my preparation of FRM exam. I had seen many videos but never gave any comments even though I liked it. But I do not know, this video is, so special that I have to give positive comments. YOU ARE THE BEST TEACHER .. I have experienced online .. Hope to see your some more videos.. thank you so much.

[@지워니S2]

Thanks for your video. you are the best and so helpful. I had problems with figuring out these and now I got it 100% after watching your video. I love your explanations. thanks a lot

[@writetopushpa]

Best ever videos. Thanks for sharing your knowledge and your efforts for making such detailed videos and simple ones to learn the basics.

[@JillJam23]

Thank you Mr. Foltz, please continue to upload these videos, they're very helpful and easy to follow.

[@yxs19882828]

10x better than those $200 textbook, thumb up!

[@sraaoyen]

Thank you for a great and well explained video. I am starting back at math after 15 years not doing any math, and what I need right now is baby steps. This video gave me just that, and I am looking forward to seeing the rest of you videos on stats.

[@terellelowe5519]

You dont understand how much I needed the beginning inspirational words. Thanks.

[@jrxc5]

thank u for your video I'm studying basic statistics to pass a DSST exam. Your video was great and very easy to follow. Keep it up!!!

[@BrandonFoltz]

@ragsanoor My one moment of lucidity! :) Thank for the kind comment and I wish you all the best, B.

[@alliegator716]

Im currently in statistics and after having a professor who speaks too fast and doesn't really go over things hearing someone speak slow, clearly, and thoroughly on the topics I don't understand is so refreshing

[@MsChameleon4]

I am crazy about your videos!!! You are an excellent instructor!!

[@terrischmidt7535]

Thank you Brandon! I've really struggled to understand this concept in class, and you A) made me feel better with your pep talk and B) helped me understand it. You are an amazing teacher.

[@mauricebaker3362]

I love his videos. I think they are very easy to follow. 100x better than my statistics prof could ever explain the concepts. But I really live for the intros and outros. What a friendly guy! I don't think I have seen any other videos that, regardless of how well they explain the content, give my quite the peace of mine that his do:)

[@yanniksimpson]

Thanks man! I am sitting here trying to wrap my head about ICAPM and was just missing the basic statistical foundations in order to understand it. 2 of your videos and I understood it. Thanks so much! You've won my subscription!!!

[@sharprockstar]

Wow. Thank you so much. You clearly have been blessed with a gift for teaching. Thank you for sharing your gifts and wisdom. Your tutorials make stats class that much more understandable and applicable.

[@n.h.6139]

You don't know how thankful I am. Keep up the good work!

[@lukakorman9761]

Deeply touched by this video. :) Great explanation! Finally I fully understand covariance. Thank you. :)

[@MrGanninu93]

Thanks. This tutorial was very very helpful. Im an IT student and just needed a quick tutorial about covariance. I read a paper which mentioned covariance and had no clue what it was. your tutorial was exactly what I was looking for. thanks again :)

[@bengittos5990]

Hi Brandon I really liked your video. You are a fantastic teacher. Thank you for helping me to better understand covariances.

[@prashant9988778899]

Thanks a lot for your awesome presentation.Just that at 17:00 it should be "divide" and not "subtract"

[@sirjamsession8179]

Well... you do need to (n-1) but then you divide the sum of the products by (n-1). But yeah he forgot to say divide.

[@damarrahjameson482]

the visuals with the step-by-step is sooooo super helpful. love your videos...great prep support for my multiple regression course this semester.

[@sahb8091]

Sir, I have a question if I may. I understand when you say that covariant is a measure, or indication, of the sign of a relationship (positive or negative) but doesn't speak to the strength of this relationship. But what then is the intuitive way to picture different covariances. If the direction is all that matters, why can't we just have a covariance of -0.1 or +0.1. Those figures would tell us that a relationship is either positive or negative but doesn't the numerical VALUE of covariance represent anything? What's the difference between a covariance of 0.1 and 0.2 if the only thing that matters is the sign (0.1 and 0.2 both being positive.) Thank you for taking the time to read my question and please keep up the stellar work. I hope to one day, by the end of my course, understand statistics well enough to explain it as well as you do.

[@yulianarom9585]

Thank you so much!! I was struggling with this hard mathematic words all evening and you literally saved it! Your explanations are fascinating, I swear to god

[@garyhassay9253]

Well 90 seconds in and you've already earned the thumbs up. Guess it's time to learn stats.

[@0firelili0]

Very late to the party, thank you for your videos - been feeling anxious about my maths skills, and your kind words and clear instruction has made me feel much better today

[@BrandonFoltz]

You got this! And it's _never_ too late. Deep breathe and one foot in front of the other.

[@sulaimanmuhammad7529]

Good day Brandon. I have been learning statistics for years but my knowledge was still shallow. Your videos have helped me to understand statistics very well. The illustrations and explanations in all your videos are excellent and easy to grasp. Thank you and keep up the good work.

[@wertzuio2127]

Just watched it for a refresher. Lovely video, very well done! And so encouraging thank you good sir!