This question is concerned with expressing ANOVA models as regression models. (a) Let's consider a one-way ANOVA where I = 2 (i.e., where the factor being studied has 2 levels; e.g., gender, where the 2 levels are males and females), n1 = 5 and n2 = 6. Write the regression model corresponding to this one-way ANOVA model when the first parametrization is used. That is, write the corresponding X matrix, and Y and vectors. Make sure to specify the dimensions of X and the lengths of Y and . (b) Same as (a), but when the second parametrization is used. (c) Same as (a), but with I = 4, n1 = 3, n2 = 4, n3 = 5 and n4 = 2. (d) Same as (c), but when the second parametrization is used