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Suppose you have n objects and for each object you have observations for k+1 variables, X1, X2, ... , Xk and Y.Then a linear regression is an equation of the form E(y) = a + b1x1 + b2x2 + ... + bkxk

where E(y) is the expected value of the variable Y when Xi has the value xi; and where a, and b1, b2, ... , bk are constants.

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Q: What is a linear regression?
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