We conduct a regression of size on hhinc, owner, hhsize1, hhsize2, and hhsize3. We
do not include the constant. The regression output is reported in Table 3. Would you
conclude that the home size increases with the household size? Interpret the sign
and magnitude of the estimated coefficients of hhsize1, hhsize2, and hhsize3
![Table 3<br>. regress size hhánc owner hhsizel hhsizez hhsize3, robust noconstant<br>Linear regression<br>Number of obs<br>5,407<br>F(5, 5402)<br>11317.91<br>Prob > F<br>0.0000<br>R-squared<br>0.9157<br>Root MSE<br>348.5<br>Robust<br>size Coefficient std. err.<br>P>|t|<br>(95% conf. interval]<br>hhinc<br>.005163<br>.0004976<br>18.38<br>0.000<br>.0041875<br>.0061384<br>Owner<br>374.5049<br>10.69219<br>35.03<br>0.000<br>353.5439<br>395.4659<br>hhsizel<br>647.8994<br>12.79973<br>50.62<br>0.000<br>622.8068<br>672.992<br>hhsize2<br>7.3956רר<br>21.42977<br>36.28<br>0.000<br>735.3846<br>819.4065<br>hhsize3<br>930.3489<br>29.34556<br>31.70<br>0.000<br>872.8197<br>987.878<br>](https://s3.us-east-1.amazonaws.com/storage.unifolks.com/qimg-008/008_kcmdzp0-qhdwgyts.png)
Extracted text: Table 3 . regress size hhánc owner hhsizel hhsizez hhsize3, robust noconstant Linear regression Number of obs 5,407 F(5, 5402) 11317.91 Prob > F 0.0000 R-squared 0.9157 Root MSE 348.5 Robust size Coefficient std. err. P>|t| (95% conf. interval] hhinc .005163 .0004976 18.38 0.000 .0041875 .0061384 Owner 374.5049 10.69219 35.03 0.000 353.5439 395.4659 hhsizel 647.8994 12.79973 50.62 0.000 622.8068 672.992 hhsize2 7.3956רר 21.42977 36.28 0.000 735.3846 819.4065 hhsize3 930.3489 29.34556 31.70 0.000 872.8197 987.878
Extracted text: The questions below are based on a dataset containing the characteristics of 5,407 households. In particular, we will use the following variables: - size: home size, measured in square feet. - hhinc: annual household net income, measured in euros. - owner. dummy variable equal to 1 if the living space is owned, and 0 if the living space is rented. - hhsize1: dummy variable equal to 1 if the number of household's members is 1 or 2, and 0 otherwise. hhsize2: dummy variable equal to 1 if the number of household's members is 3 or 4, and 0 otherwise. hhsize3: dummy variable equal to 1 if the number of household's members is 5 or above 5, and 0 otherwise. - edu: education level of household's members. The Appendix contains tables with the critical values of the standard normal distribution and the F distribution.