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Suppose that you estimate a multiple regression model, but that you inadvertently omit an explanatory variable...

Suppose that you estimate a multiple regression model, but that you inadvertently omit an explanatory variable that is correlated with the dependent variable. In this case,

the coefficients on the included variables will always be unbiased, but the standard errors and test statistics will be biased.

the coefficients on the included variables will always be biased.

there is no effect on the coefficients of the included variables since the omitted variable has been omitted.

the coefficients on the included variables will be unbiased if the included variables are not correlated with the omitted variable.

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Suppose that you estimate a multiple regression model, but that you inadvertently omit an explanatory variable that is correlated with the dependent variable. In this case,

the coefficients on the included variables will be unbiased if the included variables are not correlated with the omitted variable

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