Statistics 101: Multiple Linear Regression, Evaluating Basic Models Continued 

I honestly don't believe there is any other better Statistics teacher in the world than you. One can just also argue that with the fact that, from the video, it's completely apparent that you make these videos out of a sheer passion for statistics. Hats off man. God bless you.

Incredible, incredible videos. You made multiple regression look like ABCD. Outstanding

Thank you for these videos man. Thank you for deciding to make them, you've made such a difference for me. I honestly understand multiple regression so much clearer now. Please keep up the good work, RU-vid needs you, as do many many students around the world!! Love from Ormskirk, England

Thank you so much for these videos Brandon, I don't post on youtube ever but just had to say thank you for making this very confusing area of maths much more intuitive and fun to learn! I have been slowly going through all the Statistics 101 playlists in order and I finally feel like I am understanding these concepts individually and how they relate to each other.

Brandon, like many others who have commented previously I can only reiterate their praise for your brilliant teaching methods. You are, no exaggeration, a hero for providing these tutorials for free without which I think my brain would have definitely melted :) Thank you

You made me excited for statistics. I didn't even think that was possible. Thank you so much for your videos! I have been struggling all semester to understand these concepts, and you make it seem so easy and understandable. Kudos and please continue what you are doing! You are helping so much people. :)

Brandon - I have found all your videos extremely helpful both from an academic as well as practical application perspective. You make these "could be extremely confusing concepts" very easy to understand - so thank you. I have subscribed and donated on gofundme. Keep up the good work - looking forward to more from you.

my God..... thanks very much....you just made me to work in the field of research with full confidence.... great work.... please keep doing such incredible work

Thank you so very much. I had no idea of stats before this and was trying my absolute best to do my thesis by reading and watching spss tutorials, but finally your videos made me feel so much more clear in my head. You've made a huge difference. Thank you.

So much appreciation for the time and patience you've put into these videos.

I am listening to you instead of the professor I am taking this class. Since I don't know the basics, your channel is a lifesaver to me.

LOVE your videos. They have really helped me a lot. Very detailed and straightforward! !

I genuinely appreciate you Mr.Brandon. You are really helping me to finish my thesis. Thanks

no one else can explain this better than you. Thanks much, what you are doing is such a great thing !!

You're amazing! The video just flew by and I felt like I understood literally everything due to your way of instructing! You have a gift, sir!

Thanks so much for these videos. I say a prayer for you every time your videos make my eyes widen in comprehension. This is such a lifesaver!

So glad I found your videos. They are extremely helpful! You explain things so clearly and the examples you use are relatable. Thank you so much!

You're an absolute legend Brandon, thanks for your fantastic teaching!!!

These are amazing...thank you thank you thank you! I have learned statistics so long ago and needed a refresher course...was struggling with the textbooks...your real life examples make everything so simple...thank you again...

Safe to say I think your videos have just saved one of my grades towards my degree, thank you so much Brandon!!! :)

Multiple regression never seemed so simple. Thanks a lot for such a detailed explanation Brandon

These videos are making my life soooooo much easier !!!!! Thank you very much, Bradon !!!

Brandon. Thank you for these videos. You are a blessing my friend!!

Thank you, Brandon, I am a master's student in the Netherlands struggling with research-intensive courses. I have failed one of the research courses and will have a second attempt in July 2020, I am hoping that after watching your videos, I will have a better grasp of how to interpret research results and how to write a better master's thesis

just awesome explanation, make the complex subject simple! that's the best teaching!!!

These videos have become my standard reference resource for statistics

Seriously the best videos on stats on RU-vid. Brandon Foltz is a world class educator

Haven't really seen a better professor than you Brandon.. Hats off for the way you teach ,the way you talk and the way you enlighten me with the knowledge

Thank you so much Brandon for your videos. You explained every single point and make the stats be much clearer for me. They are very helpful for my assignment. Such exceptional lectures!

Hi Brandon, Your presentation is awesome! You've helped solve the problem that I'm having a headache with. Your videos deserve billions of thumb-ups. Thanks!

I'm getting an A in my biostatistics class because of you for my graduate program. Thank you so much for posting these! Not all heroes wear capes

Thanks too much Mr. Brandon, your videos have made a significant improvement for me in understanding econometric, I highly appreciate your efforts, please keep on helping us to empower ourselves, we really need you. God bless you.

thank you so much Brandon, this is really good work and it is easy to understand. I appreciate that

Thank you so much!! I was struggling but your videos have really helped. You are the real MVP Brandon.

These videos are just really well done - thanks for all the effort you've put in Brandon!

Thanks for all these brilliant videos Brandon! I've majored in math&stat and now I've been worked for many years. Reviewing the stat knowledge from your videos makes me better understand some concepts than at university then. I've never had such clear clue about how to review a model like now. Thanks Again!

Brandon Foltz, your presentations are awesome and very well explained in simplest way.

You did a great job of choosing an example that showcases that the simplest model can often be the most accurate/representative, while displaying notions of problems associated to multicollinearity and overfitting!

Thank you so much Brandon, you made it possible for me to understand the regression. God bless you brother

Thanks you Brandon for taking out your time and providing such beautiful lectures. U are awesome.

I love you!!! There are no words to describe how good you are at teaching!

Thanks a lot Brandon for your way of understanding...

I’ve just been schooled! Thank you. Will be bookmarking this.....

Thanks for this series! You make such an amazing teacher.

"VIF above 10 means terminally death problems", never had such a clear explanation about VIF, thanks for your hard work!

Wow, your video is wonderful. I feel frustrated in other class about linear regression, so I turn here for some help. You really help me! All the concepts are very clear. I have basic important ideas about multiple regression now.

really AMAZING video! Even a high school student can understand comprehensively.

thanks a lot, good at explaining multiple times so I don't forget this in like 10 min, your a good teacher!

This is the best series of videos; Thanks a lot!!!

man it's so helpful, make me love the multiple regression deeply!!! Appreciate that!!

Thank you very mucho for these awesome videos Brandon. You're the best!

Brandon you are amazing! Thank you for your work! I enjoyed it on a Sunday evening..

long, but definitely worth the time! awesome again! thank you for doing this!

Really and extremely helpful Brandon. Thank you very much indeed.

Brandon, you saved my thesis. Thank you.

I know you know, but these videos are just so good!!!! You are very knowledgeable, thank you for sharing it with us!

Brandon thanks so much for making this sooooo clear!!! I wish you were my professor !!!!

I watched the series starting from video 1. Very helpful.

Great Going!!! Priceless contribution.

I never understand my lecturer did same thing but u explain really well now i understand well. u clear each and every factors and significance of that variable first time i have seen educational video 1 and half hour continiously.

respect to Brandon for making multiple regression seems so easy and so much more enjoyable that the class my parents paid for.

Wow that was an awesome lecture. Now I understand model selection!!

Just wonderful! I followed the lecture using R and replicating the results, THANK YOU SO MUCH!!!!

Your videos are always so thorough and helpful. It's perfect how you take the time to explain it fully! And also take the time to go over obscure but very important side bars!!! Just one comment- the negative coefficient for travel time and gas prices makes ense to me- if gas prices go up drivers are less apt to joy ride or take the long road home ;D

huge thanks to you for making the video... i cant say how much i am thankful to you... Love from Nepal

Your videos helped me a great deal! Thank you!

Very thorough and a great help!! Thanks.

Thank you. Your videos are very clear to understand. :) One hypothesis on why travel time might go down due to increase in gas prices is that there might be fewer cars on the road.

Excellent videos. Love them. Thank you so much

A wonderful lesson! I learnt everything in the matter of minutes which otherwise would take me months

Keep up the good work, your videos are the best... Cheers from Bosnia :)

You made it easy peasy. Thank you so much!

Incredible thank you Brandon! You made my life easier.

You are an excellent teacher. I like your videos very much. Very helpful video to select the best regression model. Thank you very much

Hello Brandon. An excellent video tutorial. Really helped alot. Thank you

Really it is more than very clearly explained . Many thanks prof. Dr Issam m.a.shakir - Iraq-baghdad

Mr.Brandon....one word enough to u....YOU ARE "A W E S O M E" ....and u r god to stat students.

Brandon, YOU ARE THE BEST!

I appreciate you. These videos are really very helpful. Thanks alot.

Excellent series in deed! Thank you Sir so much.

I was so lost in class. Your video is soooooooooooo helpful Thank you so much

Thank you so much for sharing the video !

Thank you for this video. you are a great teacher.

thank you soo much brandon . The videos are so helpful .

Thank you very much for making these videos on stats. Clear,Concise and Simple. I was also looking for advanced topics where we check AIC and BIC. Also, how do we fix the variables when the assumptions are violated? Is there already a video out there? Appreciate your help. Thanks once again.

Great !!, simple way of explanation.

Hello Brandon, Exceptional lectures! Thank you very much for making it available to all of us. Finally, statistics make sense to me. Would you please make these lectures available in a book format? Majority of statistic books are hard to understand or use. Your instructions are extremely helpful and practical. Even if you make it available in a pdf format, I would love to purchase it. If you don't plan on writing a book, could you please give us some, book, references? Once again, I appreciate your hard work and making it possible to learn something very useful.

I am soooo happy to find you :D literraly way better than my statistic professor

This helps my thesis! thanks so much

Great Tutorial! Thank you!

Wah..Awesome Brandon as usual. You are a master teacher. I have seen all the videos, and they are the best for the beginner. As I commented previously in some of the videos, I know its hard work and take a lot of effort in the making of these visual rich videos. Great work...Keep it up. I eagerly look forward to CFA, Structural Equation Modelling which is an evaluation of all these techniques. Any plan to roll out such video soon? Your reply(positive :) ) is highly appreciated.

This help SO much - thanks a 1000 !!!

Very good video. :) It was good to refresh everything, you are very good at explaining. I think some more examples in the end, would help. Perhaps with more than three variables. I use multimodel averaging for my work, which is a really good tool to know too about ;)

quick question when you look at the difference between the predicted r and the adjusted r how much of a difference does there have to be to eliminate that model or consider it a dropp off? also with making the decision on the best value are we looking at the one with most of the criteria? otherwise thank you for the video

Great tutorial. Thank you very much

Thanks man. Priceless.

Another B.F. Masterpiece!

I really appreciate your video. I'm studying stats by myself with this series! I totally know it's off the track but want to comment one thing. I think it DOES make sense that if milesTraveled is held constant, then travelTime is expected to decrease when gasPrice go up. Because if you accelerate more, u need more gas then you accelerate less.(assuming you are traveling the same distance) Obviously, more acceleration reduces travelTime. I understood y x1, x3 regression is pointless. Just wanted to say the minus coefficient might make sense in a real world. Sorry for my coarse English. I'm not native so I wonder if I used right words for the points I want to make.

Not all heroes wear capes. Great work!

Amazing video! thanks a lot!!!