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zzmanzz
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Homework Statement
Does the "through-origin" least squares line
yhat = b*X
pass through the point (ybar, xbar)?
The "through-origin" model is the least squares model without the intercept.
Homework Equations
b = sum[YX]/sum[X^2]
yhat = b*X
The Attempt at a Solution
when I calculate a sample linear model yhat = b*X, ybar =/= b*xbar. The aforementioned result was obtained for two different data sets.
Online it says that for:
y = a + bX
(xbar, ybar) does lie on the line. However, for the model in question:
y = bX
(xbar, ybar) does not lie on the line.
I have the answer but I don't understand why it is so?
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