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 |SSdf MS Number of obs=4,071

-------------+---------------------------------- F(4, 4066)=328.17

Model |243294.944 60823.7351 Prob > F=0.0000

Residual |753608.5144,066 185.343953 R-squared=0.2441

-------------+---------------------------------- Adj R-squared=0.2433

Total |996903.4544,070 244.939424 Root MSE=13.614

------------------------------------------------------------------------------

weightkg |Coef. Std. Err.tP>|t|[95% Conf. Interval]

-------------+----------------------------------------------------------------

heightcm |.7164207.03096423.140.000.6557144.777127

female |7.043856 .90585947.780.0005.2678768.819836

white |-3.552731 .6814034-5.210.000-4.888654-2.216807

other |-9.573996 1.769315-5.410.000-13.04282-6.10517

_cons |-48.87639 5.705812-8.570.000-60.06291-37.68988

------------------------------------------------------------------------------

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?

11. What is the interpretation of the coefficients on white (white race) and other (other race) in the model?