Respuesta :
When looking at the association between the number of people in a group and the time it took to solve the puzzle, we can consider the following scenarios:
1. **No Association**: If the time taken to solve the puzzle remains relatively constant regardless of the group size (1 to 8 people), we might see a scattered plot without any clear pattern or trend. This would suggest that the number of people in the group does not significantly affect the time taken to solve the puzzle.
2. **Positive Association**: On the other hand, if there is a positive association, we would observe a trend where larger groups take longer to solve the puzzle. In this case, as the number of people in the group increases, the time taken to solve the puzzle also increases. This could indicate that more people in a group lead to more complex interactions or discussions, resulting in a longer solving time.
3. **Negative Association**: Conversely, a negative association would show that smaller groups take longer to solve the puzzle. Here, as the number of people in the group decreases, the time taken to solve the puzzle increases. This might imply that with fewer people, there are fewer ideas or perspectives to consider, potentially leading to longer solving times.
4. **Curvilinear Association**: Additionally, there could be a curvilinear association where there is an optimal group size that solves the puzzle most efficiently. This would result in a U-shaped or inverted U-shaped plot, suggesting that groups of a certain size are most effective at solving the puzzle within a reasonable time frame.
By analyzing the plotted results and observing the pattern or trend, Vincent can determine the nature of the association between the number of people in a group and the time taken to solve the puzzle. This understanding can provide valuable insights into group dynamics and problem-solving efficiency.
Answer::)
Step-by-step explanation:
Vincent gathered groups of 1 to 8 people and gave every group the same puzzle to solve. He recorded the
number of minutes it took each group to solve the puzzle and plotted the results.
Which statement is the best description of the association between these variables?
