4) In the one-way analysis of variance (ANOVA), the model is given by: Vij = U + Ti+ Eij for i = 1, ..., a and j = 1, ..., n, where eij ~ NID(0, 62) and Zi_1 7; = 0. In class, we showed that the total sum of squares is the sum of squares for treatments plus the sum of squares for error (TSS = SSTmts + SSE) by the following decomposition: a. Show that a n TSS = >E ij N i=1 j=1 b. Show that a SSTmts = N. TO N i=1 c. Show that n a SSE n i. i=1 j=1 i=1 d. Explain why the formulas in parts (a) - (c) are helpful