Least Squares II: Linear Regression

The most important application of least squares is fitting lines to data. It all boils down to a 2x2 matrix problem. We work out an example and derive the formula for arbitrary data.

[@klaatu77]

This is by far the best explanation of how the slope and intercept are found using a matrix formulation.

[@ronaldrojas5011]

finally someone explains where those formulas come from, thank you!!!

[@paulshaughnessy8182]

Thank you, I finally found someone who explains the math and does it without a computer or a calculator. I looked at numerous videos before I found you. You provide a complete answer. I look forward to seeing more of your videos.

[@mindvoxel]

You rock, thanks for clearly defining how the least squares solution is calculated in both matrix form and with the simple summation formulas. I finally think I understand how the two correspond. It helped me figure out the MATLAB code for my computer vision course.

[@ahancock1990]

Excellent simply and clearly explained video, thank you

[@S1ythern]

Thank you for these videos, sir. They've made this topic very clear to me.

[@FernandoLopez-ll1zu]

You are a great teacher. Thank you.

[@maciejbindas8599]

Thnak you very much, that was very well explained

[@senaitmetaferia9052]

Thank you very much ,i could understand very well!!!!

[@eliecerecology]

AWESOMENESSS.....!!

[@FlareSoul69]

Professor Lorenzo, I didn't quite catch how you got the matrix from the coordinates.

[@roshneekishore9183]

Why isn't there a heart button that i could click for this video... saviour!!!

[@benjaminsmus8553]

Thank you

[@kimmamanda4229]

awesome!!!!!!!!!!!!!!!!!!!!!

[@FsimulatorX]

Shouldn't it be 'm' with a super script of x^(i)? data points because n and the subscripts are used to denote columns or other features?

[@tshepojaphta8718]

i feel like crying thanks alot......the test is dead on monday

[@lanasaleh6569]

How it c.
We have it as HW and i cant solve it 😭😭

[@benjaminsmus8553]

Couldn't find anthing like it on youtube