Does anybody know how to prove the fact that the centroid point (x_bar, y_bar) lies on the regression line?
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Just plug in in for the x and see if you get .
You saw my other proof earlier today, use that post.
Right, so I have
β0_hat + β1x_bar = y_bar – β1_hat*x_bar + β1_hat*x_bar =y_bar
It just seemed too good to be true
It looks right.
But again I do need to know the model.
However I think this is true for any model.
is the fitted line, with
giving us .
NOW setting in the line completes this.
thank you very very much for all your help!
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