This question references Prestige.csv$.$

Now, run $4$ different regression models, corresponding to the $4$ scatterplots from above; that is$,$ run Model $1$: prestige vs$.$ income, Model $2$: prestige vs$.$ log$($income$),$ Model $3$: log$($prestige$)$ vs$.$ income and Model $4$: log$($prestige$)$ vs$.$ log$($income$)$; then, answer the following questions:

Which of the $4$ models best captures the relationship between income and prestige?

Model $1$

Model $2$

Model $3$

Model $4$