We have the model $$\tilde{Y}=50+0.3X_2+2.5X_3$$ where $Y$ are the food costs in euro, $X_2$ is the income in euro and $X_3$ is the number of children.
If we consider the income in thousands euros then how are the estimators of the coefficients?
Normally we get the estimators $\tilde{\beta}_1, \tilde{\beta}_2, \tilde{\beta}_3$ as the coefficients from above (constant term, coefficient of $X_2$, coefficient of $X_3$ respectively)
But using the information that the income is considered in thousands euros, do we have to multiply/divide the coefficient of $X_2$ by $1000$ ?