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!
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
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.
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!!
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! :)
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!
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.
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.
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!
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?
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!
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
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.
Thank you for putting your lectures on CZcams. 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.
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
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 CZcams teacher ever. The words of encouragement you gave me at the end of this video is worth priceless. Thank you so much. Eunice Urama
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.
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
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
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!!!!!
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.
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.
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 CZcams. 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
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!
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
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...
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!
I have been watching so many videos on CZcams 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.
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.
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.
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.
Thanks, Brandon; this video is fantastic. If you showed the addition when you were adding the (x-the mean) times (y-the mean) in addition to using the sigma sign, that would make the video even cleaner. Math teachers love using math symbols, and people who don't use math often have to think for a second about what those symbols mean. This means the brain loses that tiny bit of processing power to interpret the symbol instead of thinking about the work. What makes this video so amazing is how free it is of these little distractions that make it harder to learn the content.
@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.
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
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!
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
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!!!
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.
I would actually recommend that you (Brandon) keep the intro. Yes, it gets repetitive but it was actually your (very motivating) introduction that caught my attention. On the whole, I find your concept explanations lucid, which many academics/profs themselves can't even deliver. I like to videos very much and I'm using them to help me refresh my knowledge on stats. Keep those videos coming!
I have a suggestion. Firstly thank you for a completely comprehensive tutorial. Since you explain things very deeply, for a part of your viewers it might be useful if your video was divided into parts with some titles, what you think of it?
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 :)
honestly i wish 70% of my tuition could go to people like you......
Agree!!!!!
"You may just have a temporary tough patch." You are so encouraging! Thank you!
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!
Feel totally the same
Very, very clear, structured and visual demonstration of Covariance.
> "Fire all the tutors and professors, we've found THE GUY !!" - Me, 2020
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 CZcams!
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
+Brandon Foltz that was a really kind statement :)
+Brandon Foltz Yeah i agree with you Brandon. Mathieus compliment was well written, but not a A+ compliment, so a -B grading is justified.
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.
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!!
I really wish I had discovered your videos along time ago. It would have saved me a lot of confusion and frustration. Thank you!!!
These videos are still helping people 5 years on. Many thanks!!
update: these videos are still helping people 11 years later!
If instructors were like this, education would be so much easier.
This is as simple as possible.
Thanks, Brandon, for the explanation.
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.
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! :)
Thank God for Brandon Foltz and people like him. Somebody who can explain things simply and clearly!
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!
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.
you teach so well!
Through your teaching, I can easily understand the concept of covariance.
Deeply appreciate.
It is because of people like you that the world is a better place. Thanks for this video man!
I haven't come across any better presentation for this topic, Well Said in a simple and easy way!
Covariance is a simple concept, but many fail to teach/understand the intuition behind it.
You did a great job !!! The best explanation.
You were born to be a teacher! Keep doing what your doing! You are great!
Honestly, best explanation of covariance I ever heard
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.
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!
+1 for explanation and tutorial
+1 for motivation
bravo Mr. Brandon !
I have been binge watching your videos for past 2 days and I have completed 3 playlists.
I found this video very helpful and easy to understand. I would recommend it to anyone who wants to understand the basics of covariance
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.
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?
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!
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
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!
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!
You are a gentleman and a scholar. Thank you for making this video for all to learn from.
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.
Thank you for putting your lectures on CZcams. 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.
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
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 CZcams teacher ever. The words of encouragement you gave me at the end of this video is worth priceless. Thank you so much. Eunice Urama
One of the best explanations of the concept that I've seen.
simple understanding methodology of teaching complex subject statistics hats off to your teaching style...
Great teacher. I just wish all teachers could follow your lead!
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!
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.
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
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
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!!!!!
What a wonderful teacher you are !!! Stay blessed.
So lucid... so effective .... even a child can understand what u r explaining... Thank you very much Sir...
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.
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.
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.
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 CZcams. 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
You are AWESOME!!!!!!!!!!!!!! One of the finest stats teachers around!
Thank you Sir, I finally understood the concept of Covariance
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!
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
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...
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!
Thank so much! I appreciate you watching and learning. Glad you found them helpful. Keep on learning!
I was too confused about the covariance - correlation thing until know. Just thank you!
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.
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.
Dudeeeeeeeeeeeeeeee!!!!!! you are an explainer for life, i understood it better with this vidoe than when am in class..thanks, now go make more
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.
After four years I am again on your videos man. Thank you for what you have done here
Well 90 seconds in and you've already earned the thumbs up. Guess it's time to learn stats.
I have been watching so many videos on CZcams 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.
The easiest and the best explanation.
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.
Thanks a lot for your awesome presentation.Just that at 17:00 it should be "divide" and not "subtract"
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.
this is what i was looking for EXACTLY ! its rare to find something like this nowadays......
thanks for your effort MR.
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.
i love how you teach and how you start with encouraging words. u make the course so easy
10x better than those $200 textbook, thumb up!
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!!!
this video makes me understand completely about Covariance.So many thanks
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!
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.
Thanks, Brandon; this video is fantastic. If you showed the addition when you were adding the (x-the mean) times (y-the mean) in addition to using the sigma sign, that would make the video even cleaner. Math teachers love using math symbols, and people who don't use math often have to think for a second about what those symbols mean. This means the brain loses that tiny bit of processing power to interpret the symbol instead of thinking about the work. What makes this video so amazing is how free it is of these little distractions that make it harder to learn the content.
You explained it far better than my instructor. thank you so much. God Bless :)
Love your kind and patient approach. These videos are making stats make sense to me...so grateful!
The best statistics info on the web. Great details, very informative, well organized, good examples. Thank you!
@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.
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
You got this! And it's _never_ too late. Deep breathe and one foot in front of the other.
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!
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
You are awesome teacher.... How I wish all teachers teaches like you. Keep it up Brandon Foltz. Hope to see video from you about Quality tools.
Thanks Gus! I get several comments a day from people who like the intro/outro bits, and one can always fast forward. :D
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!!!
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.
I would actually recommend that you (Brandon) keep the intro. Yes, it gets repetitive but it was actually your (very motivating) introduction that caught my attention. On the whole, I find your concept explanations lucid, which many academics/profs themselves can't even deliver. I like to videos very much and I'm using them to help me refresh my knowledge on stats. Keep those videos coming!
I have a suggestion. Firstly thank you for a completely comprehensive tutorial. Since you explain things very deeply, for a part of your viewers it might be useful if your video was divided into parts with some titles, what you think of it?
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 :)
Hi Brandon
I really liked your video. You are a fantastic teacher. Thank you for helping me to better understand covariances.
Thank you for all these helpful videos. As a former tutor you are doing wonderful job.
Thank you Mr. Foltz, please continue to upload these videos, they're very helpful and easy to follow.
Best ever videos. Thanks for sharing your knowledge and your efforts for making such detailed videos and simple ones to learn the basics.
Just watched it for a refresher. Lovely video, very well done! And so encouraging thank you good sir!
Thanks so much for this video. It was part of assigned viewing for a Business Analytics program I'm taking, and was very helpful.
YOU ARE WONDERFUL! MY Professor gets paid for the work you do with us :-)
I am crazy about your videos!!! You are an excellent instructor!!
You dont understand how much I needed the beginning inspirational words. Thanks.
Excellent presentation, very simple way to teach and understand Covariance
the visuals with the step-by-step is sooooo super helpful. love your videos...great prep support for my multiple regression course this semester.