Consider the following model of the factors that influence a person's annual wage: Y = β0 + β1X1 + β2X2 + β3X1X2 + β4X3 + u where Y = annual wage, in dollars X1= years of formal education X2 = age, in years X3 = variable equal to 1 if male, 0 otherwise U = error term Which of the following is the interpretation of β1 alone? The effect of X1 on Y when X2 = 0 The effect of X1 on Y when X2 is at its median value. The effect of X1 on Y, holding all else equal. The effect of X1 on Y when X2 is at its mean value.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter9: Production Functions
Section: Chapter Questions
Problem 9.6P
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Consider the following model of the factors that influence a person's annual wage:

Y = β0 + β1X1 + β2X2 + β3X1X2 + β4X3 + u

where

  • Y = annual wage, in dollars
  • X1= years of formal education
  • X2 = age, in years
  • X3 = variable equal to 1 if male, 0 otherwise
  • U = error term

Which of the following is the interpretation of β1 alone?

  • The effect of X1 on Y when X2 = 0
  • The effect of X1 on Y when X2 is at its median value.
  • The effect of X1 on Y, holding all else equal.
  • The effect of X1 on Y when X2 is at its mean value.
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