Squared error of regression line | Regression | Probability and Statistics | Khan Academy

Introduction to the idea that one can find a line that minimizes the squared distances to the points

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[kathlacy]

Mind blown. I wish I had seen this at the beginning of the semester!

[Smokinsomebasil]

This video series is completely amazing, thank you!

[presziggy]

just out of curiousity Mr. Khan, do you yourself review how to do these on your own before you show us? like do you have to get ready? or does it just come off the top of your head? be honest ;) math is magic!

[salmankhalifa]

Omg, I wish I had you as a professor!

[ahmadomara]

@Inquiett
agree with you that Squaring always gives a positive value, so the sum will not be zero
using absolute value is also possible and it's actually used as well
however, another benefit of squaring is that squaring emphasizes larger differences (which is good and bad)

[danielsumah]

Thank you for this video.

Why is the squared error a property that determines how good a line is ?

[gulamahsan]

Most simlistic explaination of Mean Squared Error

[dollyfacegirl]

Thanx so much for making this kinda videos!!!

[MLML]

The 'm' and 'b' variable of the regression line can also be solved using Linear Algebra.

[SrividyaNatarajan]

wonderful...thanks for the clear explanation!

[ConceptVBS]

"Minimizes my probability of a mistake"

I see what you did there. :D

[iayushbhartiya]

why we take the vertical distance why not perpendicular?

[alokprasad]

why we are adding the squared errors in order to generate the error function? Is there any strong reason behind that?
Thanks

[savashzaynal]

The only thing that I don't get is why squared... why not just take the distance of point to the line? The only reason I can come up with is that it will remove the negative sign for each distance?

[ConceptVBS]

@dalcde

Yes, its the same thing. Bet you've finished the stats class already. :D

[DRSUMESH]

thank you for this video, but have a doubt, ,error 1  same as you taught "(mx1+b)-y1, but is error 2  "y2 _(mx2+b)" ?, as these points are lying in two sides of that line y=mx+b .kindly help me

[carolinaman]

Don't they use a similar type of method to this (linear regression) in machine learning?

[ashamaaggarwal]

getting confused between error and residual

[daltonpulsipher]

This method seems less useful than taking the perpendicular distance to the lines. The math is easier to work out this way though.

[DaveVoyles]

Completely lost me at 3:40.

UPDATE: I see now. m = slope. So:

Y = 3x + 4

3 is the slope.