Questions: DEPAUL VILLANOVA --- 79.2 Points 78.6 27.3 Field Goals Made 27.8 59.6 Field Goals Attempted 57.3 45% Field Goal Percentage 48% 11 3 Point Field Goals Made 10.4 28.6 3 Point Field Goals Attempted 25.8 38% 3 Point Field Goal Percentage 40% 13.6 Free Throws Made 12.7 19.2 Free Throws Attempted 15.8 71% Free Throw Percentage 80% 35 Rebounds 32.4 9.4 Offensive Rebounds 9.5 25.6 Defensive Rebounds 22.9 18.1 Assists 13.7 12.2 Turnovers 9.4 5.8 Steals 5.6 3.7 Blocks 2.6 16.1 Personal Fouls 16.4

Solution Steps

To find the number of possessions for each team, we use the formula:

\[ \text{Possessions} = \text{Field Goals Attempted} + 0.44 \times \text{Free Throws Attempted} - \text{Offensive Rebounds} + \text{Turnovers} \]

For DEPAUL: \[ \text{Possessions}_{\text{DEPAUL}} = 59.6 + 0.44 \times 19.2 - 9.4 + 12.2 = 70.848 \]

For VILLANOVA: \[ \text{Possessions}_{\text{VILLANOVA}} = 57.3 + 0.44 \times 15.8 - 9.5 + 9.4 = 64.152 \]

The offensive rating for each team is calculated using the formula:

\[ \text{Offensive Rating} = \left( \frac{\text{Points}}{\text{Possessions}} \right) \times 100 \]

For DEPAUL: \[ \text{ORtg}_{\text{DEPAUL}} = \left( \frac{79.2}{70.848} \right) \times 100 \approx 111.789 \]

For VILLANOVA: \[ \text{ORtg}_{\text{VILLANOVA}} = \left( \frac{78.6}{64.152} \right) \times 100 \approx 122.522 \]

The defensive rating for each team is calculated using the formula:

\[ \text{Defensive Rating} = \left( \frac{\text{Opponent Points}}{\text{Opponent Possessions}} \right) \times 100 \]

For DEPAUL: \[ \text{DRtg}_{\text{DEPAUL}} = \left( \frac{78.6}{64.152} \right) \times 100 \approx 122.522 \]

For VILLANOVA: \[ \text{DRtg}_{\text{VILLANOVA}} = \left( \frac{79.2}{70.848} \right) \times 100 \approx 111.789 \]

Final Answer