Hello everyone! Does anybody know how to prove the fact that the centroid point (x_bar, y_bar) lies on the regression line? Thank you!
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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.
Matheagle, thank you very very much for all your help!
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