Question

Consider the following multiple regression results below, which examine the potential impact of smoking by the mother during pregnancy has on the birth weights of their newborns. In the models reported below, the dependent variable is birth weight (in pounds). The explanatory variables are: the number of cigarettes smoked per day during pregnancy by the mother, the birth order of the child in the family (with 1 denoted first-born, 2 second-born, etc.), the gender of the child (=1 if male and 0 otherwise), the race of the child (=1 if white and 0 otherwise), family income (in dollars), the mother’s years of education, and the father’s years of education.

Dependent Variable: Birth weight (in pounds) Estimated Coefficients with Standard Errors in Parentheses Explanatory Variables Constant Number of cigarettes Birth order Regression 1 6.814 (0.246) -0.037 (0.007) 0.120 (0.041) 0.237 (0.071) 0.295 (0.100) 0.003 (0.002) -0.021 (0.020) 0.026 (0.018) Regression 2 6.943 (0.121) -0.039 (0.007) 0.120 (0.041) 0.234 (0.071) 0.335 (0.098) Regression 3 -189.055 (229.788) 1.449 (1.646) -4.858 (5.453) -8.657 (9.740) -18.170 (20.523) Gender of child Race of child Family Income Mother's education Father's education Predicted birth weight squared (?) Predicted birth weight cubed (Y) Residual sum of squares (RSS) Number of observations 5.835 (7.194) -0.247 (0.342) 1,785.000 1,783.647 1,790.836 1191 1191 1191

Suppose that someone claims that parents’ education (both the father’s and the mother’s) and family income do not jointly influence the birth weights of newborn babies. The value of this test statistic is approximately:

3.45

1.94

1.59

6.32

Answer 1

classmate Date Page Here there are two models: Medel 2: Regression 2 ( Umcokolded model): Including education and income variables o Model 2: Reguession 2 (Restricted model). Not Including educaren and Income variables. formula below: • Now we calculate t-statistic using Rss of two models using Te total observation UROS = 1783.643 RRSS = 1790-836 K = no. of parametes In unresbiched model test statistic RRSS URSS X TK URSS memorie resttchens m 1790.836- 1783.647 x 1191–8 1783.647 3 1.5893 ñ 1059 This option A 1.59 is correct answer Scanned by TapScanner