9. Evaluating the contribution of an additional predictor variable Aa Aa A study

Question

9. Evaluating the contribution of an additional predictor variable Aa Aa A study conducted at Baystate Medical Center in Springfield, Massachusetts, identified factors that affect the risk of giving birth to a low-birth-weight baby. Low birth weight is defined as weighing less than 2,500 grams (5 pounds, 8 ounces) at birth. Low-birth-weight babies have increased risk of health problems, disability, and death. [Source: Hosmer, D., & Lemeshow, S. (2000). Applied logistic regression (2nd ed.). Hoboken, NJ: wiley.1, You conduct a similar study focusing on the age (AGE) and weight gain (GAIN) of the mothers as predictors of their bables' birth weight (BIRTHWT) among 50 low-birth-weight babies. Before you estimate the regression equation, you calculate the Pearson correlations among the three variables you have measured: Correlations BIRTHWT AGE GAIN BIRTHWT 1.000 -.4189 2174 AGE .4189 1.000 -.1129 GAIN 2174 1129 1,000 Your regression equation predicted R-20.48% of the variance for the baby's birth weight m. The regression equation is:

Explanation / Answer

The variance that is predicted by the variable is SSr/SSt where SS depicts the sum of squared residuals. Thus the variance predicted is 1545526.7/7545835.6=60.23%.

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