Sum of squares

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Thank you. One of the best explanations of Sum of Squares.

jeffreyhunter
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finally someone who just explains it obviously

benjaminjordan
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I wonder why my teacher wasn't capable of explaining this clearly. It seems so simple when you explain it. Thank you.

sachan
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Its very much confusing for me this point. Some people use SST, SSE, SSR. And you use TSS, RSS, ESS. Where your ESS=SSR, and RSS=SSE. LOL why cant the industry just pick a damn standard.

GeomaticsEngineer
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Fortunately the names here are the same as Wikipedia.

Just to illustrate for people who were lost like me:

RSS = Residual sum of squares.
ESS = Explained sum of squares

My current textbook (Frost, Regression: An Intuitive Guide, pg. 41) has:

SSE as "Sum of Squared Errors" which is the same as the Residual Sum of Squares (RSS) given here ...
RSS as "Regression Sum of Squares" (!) which in Frost's mind is the same as the Explained Sum of Squares

on top of this I have seen Wikipedia refer to:

RSS as SSR ("Sum of squared residuals")
&
ESS as .. wait for it... also SSR ("Sum of squares due to regression") ... smh

Sorry but this is bs, journal editors need to have agreed on this by now

joel
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This was explained very well, thank you .:) Ben Lambert 

chandini
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Thank you for this video resolve my confusion

马克-id
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okay so lets say TSS = 56.8493 what do I do with that number? What does it tell me?

giselherqualle
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What if the data point is between the line and the mean? That way the ESS would be bigger than the TSS?

Mithcoriel
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@1:50 the way it is being drawn, ESS looks like RSS.Should draw a line from the blue 'x' to the yellow line (mean), and then say that is the ESS.

jorgemercent
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Formula for ESS and RSS is interchanged over of confusion

sahityashrestha