In the demand curve model of Equation (12.3), is (ln left(P_{i}^{text {butter }} ight)) positively or negatively

Question:

In the demand curve model of Equation (12.3), is $\ln \left(P_{i}^{\text {butter }}\right)$ positively or negatively correlated with the error, $u_{i}$ ? If $\beta_{1}$ is estimated by OLS, would you expect the estimated value to be larger or smaller than the true value of $\beta_{1}$ ? Explain.

Equation (12.3)