We have data on 4,071 students for whom we have recorded their race (white, black, other] and their height in centimeters. We would like to investigate the association of these variables with the weight in kilograms. The following results were obtained for a linear regression model. Source | 88 df MS Number of 005 = 4, 071 + H4, 4065} = 328.17 Model | 243294.94 4 60823.7351 Prob == F = 0.0000 Residual | 753608 . 514 4, 066 185 . 343953 R- squared = 9 . 2441 + Adj Rsquared = 0.2433 Total | 996903 .454 4, 070 244 . 939424 Root MSE = 13.614 weightkg | Coef Std Err t P> i t| [95% Conf. Interval] _____________ +________________________________________________________________ heightcm | .710420? .030954 23.14 0.000 .555?144 .7?7127 female | 7 . 043856 0050594 7. 70 0.000 5.267'876 0.019330 white I 3.552731 .6814034 5.21 0.000 4.888654 2.216807 other | 9 . 5?3996 1 . 769315 5.41 0.000 13.94282 6.10517 _Cons I 48 . 87639 5 . 705812 8. 57 0.000 60.06291 3?.68988 9. What is the average weight of a white female who is 160cm tall? 10. Which group is heavier on average (assuming the same height): black males or white females