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Suppose That You Have Many Observations of the Employee Level

question 45

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Suppose that you have many observations of the employee level longevity and the wage earned by that employee that year. You run the regression Longevityi = β0 + β1 Wagei +Ui, and get an estimate of β1. Now, suppose that a member of the analytics team suggests that education is an omitted variable in your regression and is likely biasing your estimate of β1. Suppose you knew that, conditional on Wage, more educated employees tended to have shorter stints with the company (lower longevity) and that the error, ηi, in the equation Longevityi = β0 + β1Wagei + β2 Educationi + Ui, was uncorrelated with both Wage and Education. How would you sign the bias on your estimate of β1?

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