2. (ANOVA - 30) In a study with n participants, Y is an outcome variable believed to be related to a single-nucleotide polymorphism (SNP); X is a numerical control variable known to be associated with Y and the SNP. G is the factor for the SNP genotype, AA, AB, and BB. Let the dummy variables G1 = 1, if genotype is AB G2 = 1, if genotype is BB 10, Otherwise 10, Otherwise The full model is Y = Bo + BIX + 32G1 + 83G2 + B4(X x G1) + 35(X x G2) +c (a) (10p) Write out the model for genotype AA, AB, and BB, respectively. (b) (10p) Specify the test of the null hypothesis that the three regression equations for AA, AB, and BB are coincident, that is SNP has no effect. You need to write out Ho and H1, and the F statistics with corresponding DF's. (c) (10p) Specify the test of the null hypothesis that the three regression equations for AA, AB, and BB are parallel. You need to write out Ho and H1, and the F statistics with corresponding DF's