Making predictions using "beauty score"

Say there is an instructor at UT Austin and you know nothing about them except that their beauty score is 5. What is your prediction \(\hat{y}\) of their teaching score \(y\)?

get_regression_table(model_score_2)
  term      estimate std_error statistic p_value lower_ci upper_ci
  <chr>        <dbl>     <dbl>     <dbl>   <dbl>    <dbl>    <dbl>
1 intercept    3.88      0.076     51.0        0    3.73     4.03 
2 bty_avg      0.067     0.016      4.09       0    0.035    0.099