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Exercise 9

Avg difficulty 3.0

Baby weights, Part V. Exercise 9.3 provides regression output for the full model (including all explanatory variables available in the data set) for predicting birth weight of babies. In this exercise we consider a forward-selection algorithm and add variables to the model one-at-a-time. The table below shows the p-value and adjusted R2R^{2} of each model where we include only the corresponding predictor. Based on this table, which variable should be added to the model first?

variable gestation parity age height weight smoke
p-value 2.2×10−162.2\times 10^{-16} 0.1052 0.2375 2.97×10−122.97\times 10^{-12} 8.2×10−88.2\times 10^{-8} 2.2×10−162.2\times 10^{-16}
Radj2R_{adj}^{2} 0.1657 0.0013 0.0003 0.0386 0.0229 0.0569

Diez, Barr & Çetinkaya-Rundel, OpenIntro Statistics, Multiple and logistic regression, End-of-Chapter Exercises, Exercise 9

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Adapted from OpenIntro Statistics © 2019 David Diez, Mine Çetinkaya-Rundel & Christopher D. Barr. Licensed under CC BY-SA 3.0. Source: OpenIntro Statistics. Imported at revision fee2509.