Consider the two-equation system y 1 = 1 x 1 + 1 , y 2

Consider the two-equation system

y₁ = β₁x₁ + ε₁,

y₂ = β₂x₂ + β₃x₃ + ε₂.

Assume that the disturbance variances and covariance are known. Now suppose that the analyst of this model applies GLS but erroneously omits x₃ from the second equation. What effect does this specification error have on the consistency of the estimator of β₁?