The U.S. Census Bureau lists college graduation numbers by race and gender. The table shows the data for graduating 25-year-olds.
Source: J. J. McArdle and F. Hamagami, J. Amer. Statist. Assoc., vol. 89 (1994), pp. 1107–1123. Data from U.S. Census Bureau, American Community Survey 2005–2007.
(a) Identify the response variable.
(b) Express the data in the form of a three-variable contingency table that cross-classifies whether graduated (yes, no), race, and gender.
(c) When we use indicator variables for race (1 = white, 0 = black) and for gender (1 = female, 0 = male), the coefficients of those predictors in the logistic regression model are 0.975 for race and 0.375 for gender. Based on these estimates, which race and gender combination has the highest estimated probability of graduation? Why?