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Math Help - Estimator of parameters

  1. #1
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    Estimator of parameters

    I've got an uni assignment to do and I can't figure out one of the questions.

    We have to consider 2 models, the first being Y = Beta1 + Beta2(X) + u
    Then the second being Y = Alpha1 + Alpha2(X/100) + u
    We've been given a dataset:
    82.1 41.3
    29.2 18.5
    -25.2 -29.3
    27 16
    57.1 61.9
    29.3 45.5
    -31.2 -35.8
    30 14
    50.3 35.3
    61.9 31
    Y-value X-value

    I've worked out Beta1 = 10.698 and Beta2 = 1.026 ,using the formulas described below for the first model, which is correct, but I'm not too sure on the 2nd model:

    For the 2nd model, we have to derive the estimators of the parameters (alpha1 + alpha2).

    I know Alpha2 would equal Beta2Hat, which = Summation(xiyi)/Summation(xi^2)

    Alpha1 would also equal Beta1Hat?, which = YHat - Beta2Hat*XHat

    The thing that has confused me is the (X/100).
    How would the (X/100) change the estimators of the parameters?

    PLEASE HELP!
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  2. #2
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    Re: Estimator of parameters

    Never mind, worked it out.
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