Response:
The return on equity (ROE) would be altered by 8.52%
Clarification:
Initially, we determine the existing ROE utilizing the Dupont Formula, yielding ROE as follows:
ROE = Net Income/Sales * Sales/Total Assets * Total Assets/Equity
or
ROE = Net Profit Margin * Total Assets Turnover * Equity Multiplier
- Current ROE = 10600/295000 * 1.4 * 1.75 = 0.0880 or 8.8%
The condition states that net income might rise to 20850 while other factors remain unchanged. Therefore, to find the new ROE, we compute the updated Net Profit margin, keeping the total assets turnover and the equity multiplier constant due to the absence of sales, assets, or capital structure changes.
- New ROE = 20850/295000 * 1.4 * 1.75 = 0.17316 or 17.32%
- The ROE would have shifted by 17.32 - 8.80 = 8.52%
The given data suggests an association between fuel efficiency and engine displacement. The regression model defined is: Mpg = 36.25 – 3.867 Engine size. Residuals are determined by the difference between actual and predicted values. Residual = y - ŷ, where y signifies the actual value and ŷ denotes the predicted value. A positive residual indicates the vehicle's true mileage surpasses what was anticipated.