Linear regression results for model using the original covariates and the model using the principal components
Model | Variable | Estimate (β) | Standard error | p Value | Adjusted r2 |
---|---|---|---|---|---|
*Significant at the 0.05 level. | |||||
Model using the original covariates | 0.5872 | ||||
Intercept | 1.67 | 0.33014 | 0.0779 | ||
Racial segregation (Gini coefficient) | 1.10 | 0.39500 | 0.0098* | ||
Income (median household) | 0.0003 | 0.00001 | 0.0057* | ||
High school graduate (%) | −0.03 | 0.01441 | 0.0702 | ||
Family stability (percentage female headed households) | 0.11 | 0.01495 | <0.0001* | ||
Model using the principal components | 0.5755 | ||||
Intercept | 2.5683 | 1.14584 | 0.0286 | ||
Racial segregation (Gini coefficient) | 0.9652 | 0.40461 | 0.0201* | ||
High school graduate (%) | -0.283 | 0.01576 | 0.0771 | ||
Family stability (percentage female headed households) | 0.1194 | 0.01603 | <0.0001* | ||
Economic index | 0.1088 | 0.04347 | 0.0150* |