# Lasso predictive equations

After estimating the Lasso coefficients in linear regression. Should we expect that prediction is unbiased ?

For example, for a new point $(x^*,y^*)$, Should we expect $E(y^*)=x^*\hat{\beta}$ to be unbiased ?

Under the assumption that $\hat{\beta}$ is the Maximum Likelihood Estimator (i.e. we are able to reach the global maximizer)

If it is biased, what are common corrections ?