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Model 1 Model 2 (Intercept) 0.98 3.28 (0.05) (0.06) annual income 0.06 (0.00) willingness_to have_children 0.07 (0.02) 0.55 0.00 Num. obs. 3000 3000 RMSE 1.43

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Model 1 Model 2 (Intercept) 0.98 3.28 (0.05) (0.06) annual income 0.06 (0.00) willingness_to have_children 0.07 (0.02) 0.55 0.00 Num. obs. 3000 3000 RMSE 1.43 2.12 Table 1: Statistical modelsA social scientist is trying to find what causes people to have more children. The scientist wants to discriminate between two hypotheses: - Having a larger income causes people to have more children People being willing to have children is what causes them to have more children The social scientists runs two regression models. In the first regression model, the scientist regresses the number of children against the annual income of a household. In the second model, the scientist regresses the number of children against their self reported willingness to have children, on a 1 to 5 scale. What conclusion can we draw from the regression? Having a higher income causes people to have more children since the R2 score is high Q Willingness to have children causes people to have more children since the question theoretically makes sense The social scientist's research design does not allow to make statements about causality O Willingness to have children and having a higher income both cause people to have more children since their coefficient is positive

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