A survey of high school students on Y = whether the subject has driven a motor vehicle after consuming a substantial amount of alcohol (1 = yes), s = sex (1 = female), r = race (1 = black; 0 = white), and g = grade (g1 = 1, grade 9; g2 = 1, grade 10; g3 = 1, grade 11; g1 = g2 = g3 = 0, grade 12) has prediction equation

logit(P(Y = 1)) = 0.88 0.40s 0.72r 2.22g1 1.43g2 0.58g3 + 0.74(r g1) + 0.38(r g2) + 0.01(r g3).

Obtain the odds for all combinations of predictors. Explain the interaction by describing the race effect at each grade and the grade effect for each race. [