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Showing that residuals, , from the least squares fit of the simple linear regression model sum...

Showing that residuals, , from the least squares fit of the simple linear regression model sum to zero

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Answer #1

Solution :

Let the least square regression equation is .

The estimate of a is given as follows :

Where,

The residual (e​​​​​​i) is defined as follows :

Hence, the residuals, from the least squares fit of the simple linear regression model sum to zero.

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