Covariance of estimators in regression model

Discussion in 'CT3' started by Bharti Singla, Mar 4, 2017.

  1. Bharti Singla

    Bharti Singla Senior Member

    Hii all
    Could anyone please explain what covariance in the least square estimators we expect in regression model for the model to be a good fit? Should the estimators i.e. alpha and beta be uncorrelated to form a good model. If yes, why?
    I have seen a qus. April 2015, qus.11 (ifoa)
    part (i)(c) of this qus. tells that Cov(à,ß)=0, the estimators are uncorrelated and hence this would be a better model.
    I didn't get the reason. Please anyone explain.
    Thanks
     
  2. John Lee

    John Lee ActEd Tutor Staff Member

    The Core Reading does not explain this point. But I think the idea is that if they are uncorrelated then errors in the estimate of one parameter does not affect the other....
     
    Bharti Singla likes this.

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