9. You are interested in environmental factors that may be associated with children's physical health. You run three regression models, adjusting for additional variables in each model. The results of your cross sectional study are below.

kidsgoodhealth= child's health score (ordinal variable, 1-5, higher number = healthier)

insurance = family has health insurance (binary variable, 0=no, 1=yes)

familySES = family income level (ordinal variable, 1-8, higher number = higher income)

college = did someone in the household go to college? (binary variable, 0=no, 1=yes)

. regr kidgoodhealth insurance Source | SS df MS Number of obs 2, 443 -+- - - F (1, 2441) = 8 . 49 Model | 8 . 04986004 1 8. 04986004 Prob > F = 0 . 0036 Residual | 2313 . 52525 2, 441 . 947777654 R-squared = 0 . 0035 Adj R-squared 0 . 0031 Total | 2321 .57511 2, 442 . 950685959 Root MSE . 97354 kidgoodhea~h | Coef. Std. Err. t P>It| [95% Conf. Interval] insurance | . 1464646 . 0502565 2 . 91 0 . 004 . 0479149 . 2450144 cons 4 . 0452442 88 . 41 0 . 000 3. 911279 4 . 088721. regr kidgoodhealth insurance familySES Source | SS df MS Number of obs 2, 140 F (2, 2137) 63. 24 Model | 111 . 738019 2 55. 8690094 Prob > F 0 . 0000 Residual | 1888 . 04282 2, 137 .883501555 R-squared = 0 . 0559 Adj R-squared 0 . 0550 Total | 1999 . 78084 2, 139 . 934913904 Root MSE . 93995 kidgoodhea~h | Coef. Std. Err. t P>It| [95% Conf. Interval] insurance | -. 0036384 . 0534525 -0 . 07 0 . 946 -. 1084627 . 1011859 familySES I . 0861918 . 0078641 10 .96 0. 000 . 0707696 . 1016139 cons 1 3 . 775264 . 0524207 72 . 02 0. 000 3 . 672463 3. 878065. regr kidgoodhealth insurance familySES college Source | SS df MS Number of obs = 2, 130 -+- F (3, 2126) = 44.77 Model | 118. 122841 3 39. 3742803 Prob > F = 0 . 0000 Residual | 1869. 62364 2, 126 . 879409049 R-squared 0 . 0594 Adj R-squared = 0 . 0581 Total | 1987 . 74648 2, 129 . 933652644 Root MSE . 93777 kidgoodhea~h | Coef. Std. Err. t P>Itl [95% Conf. Interval] +. insurance | -. 0045599 . 0536002 -0 . 09 0. 932 - . 1096743 . 1005544 familySES I . 0744385 . 0085764 8 . 68 0 . 000 . 0576195 . 0912576 college | . 143382 . 0446924 3. 21 0 . 001 . 0557365 . 2310275 cons | 3 . 749125 . 0536156 69.93 0 . 000 3 . 64398 3. 854269