How is the DuPont relationship correlated to the leverage relationship and later change in equity (operations linked to financials)?

By looking at sales and assets we can through the DuPont relationship derive the ROA, ROCE or ROIC (profit margin * asset turnover). This derivation can then be used ro calculate ROE* through the leverage relationship [(ROA + (ROA-COL) *(L/E)] * (1-t). ROE* can then be used to calculate the change in equity where ROE* - DIV/E + NI/E = Et/Et-1 (see picture)