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Math Help - Linear Regression: reversing the roles of X and Y

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    Linear Regression: reversing the roles of X and Y

    Simple linear regression:
    Y = β0 + β1 *X + ε , where ε is random error


    Fitted (predicted) value of Y for each X is:
    ^
    Y = b0 + b1 *X (e.g. Y hat = 7.2 + 2.6 X)


    Consider
    ^
    X = b0' + b1' *Y

    [the b0,b1,b0', and b1' are least-square estimates of the β's]

    Prove whether or not we can get the values of bo,b1 from bo',b1'. If not, why not?


    Any help is appreciated

    note: also under discussion in Talk Stats forum
    Last edited by kingwinner; May 25th 2009 at 01:26 AM.
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