Matrix Form Simple Linear Regression

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In this video I cover the Matrix Formulation of the Simple Linear Regression Model. I provide tips and tricks to simplify and emphasize various properties of the matrix formulation. Of particular note are the matrices XTX and XTY as well as (XTX)^-1
#SLR
#Matrix
#Econometrics
0:00 Introduction and Design Matrix
02:00 Beta Hat Formula
02:42 The matrix X'X
06:24 Inverse of X'X
09:28 The matrix X'Y

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Excellent explanation. Just what I needed!

bencepaul

Yes, my boer brother! You give us a good name. Well educated

waldoungerer

I am data Science student. I wanted to see how this was derived. This summed it up perfectly! Thanks

imdadood

Excellent explanation and demo! 👏🏻👏🏻👏🏻 Thank you so much.

This video deserves to be much much higher in youtube search results!

scorpio

I have seen many videos but this one explain a bit in more details like formulas used in linear regression. Great work!

viveksavita

One of the best education GOD BLESSSS YOUU & YOUR BEAUTIFUL FAMILY BROTHER PLS KEEP UP THE GOOD WORK!

meghajessica

Thank you so much for making this video. You just saved my Econometrics behind today.

chariezwane

Nice summarization and explanation of what the matrix form for simple linear regression model looks like, what it is made from, and how it can be constructed. Thanks! You have a good presentation/teaching style, IMO. I hope your channel grows, to help more people. Thanks again!

robharwood

Wow! I have been searching this lessons! I just found it and understand your easy way of explanation. 🙏 I keep flowing your channel.

changeme

I was looking for this breakdown for a long time. Thanks a lot mate

pratik.patil

Great and Elegant explanation. Thank you

liamhoward

0:00 Introduction and Design Matrix
02:00 Beta Hat Formula
02:42 The matrix X'X
06:24 Inverse of X'X
09:28 The matrix X'Y

BoerCommander

Keep up the neat work. Really good work.

mannur

hey! you were in my recommendation again!

effortlessjapanese

I did not understand 8:52 how was sum of xi sqared and n times xbar squared equal to sum of xi-xbar squared it should be xi^2 -xbar only let me explain you with an example if suppose x is -2 and mean is 1 then xi^2 - xbar would give you 3 while (xi-xbar)^2 will give you 9 that is (-2-1)^2 on expanding (xi-xbar)^2 would be xi^2 - 2xixbar +xbar^2 not xi^2 - xbar

lofibeatz

Somethig strange:
the equation ...

...in Python (Numpy) give us the same solution of ....

Try it!

janslesp

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