AdvancedMultiple choice

By the Frisch–Waugh–Lovell theorem, what does the coefficient on $x_1$ in a multiple regression equal?

AThe simple regression of $y$ on $x_1$
BA simple regression of residualised $y$ on residualised $x_1$
CThe average of the pairwise coefficients
DThe raw correlation between $x_1$ and $y$ , rescaled to the units of $y$

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By the Frisch–Waugh–Lovell theorem, what does the coefficient on x1x_1x1​ in a multiple regression equal?

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By the Frisch–Waugh–Lovell theorem, what does the coefficient on $x_1$ in a multiple regression equal?