Projection matrix: Difference between revisions

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Correlated residuals: ditto: _errors_, not _residuals_
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==Correlated errors==
The above may be generalized to the case of correlated errors. Suppose that the [[covariance matrix]] of the residualserrors is Σ. Then since
 
:<math> \hat{\boldsymbol{\beta}} = \left(X^\top \Sigma^{-1} X \right)^{-1} X^\top \Sigma^{-1}\,\mathbf{y}, </math>