# Regression line

Regression line: substitute x-bar in and simplify = y bar. See attached file for full problem description.

How would I prove that the regression line will always go through the point of means, e.g., prove that when I substitute in x bar for x in the equation, and simplify, i will get y bar as the answer.

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#### Solution Preview

Please see the attached file.

Proof. Let , i=1,2,..., n be the n points. Assume that is the regression equation. Then the coefficients make the following ...

#### Solution Summary

It proves that the regression line will always go through the point of means.

$2.19