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Using the least squares criterion for the simple linear regression model, one can derive the normal equations to be: n 2(Y Bo - BX;)(1)

 

Using the least squares criterion for the simple linear regression model, one can derive the normal equations to be: n 2(Y Bo - BX;)(1) = 0 i=1 n 2(Yi - Bo - BX;)(X;) = 0. i=1 Solve these equations for Bo=Y - BX and B = (Xi-X)(Yi-Y) (Xi-X) the least squares estimators of Bo and B, respectively. 1

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