To determine the type of association from the provided data, we need to analyze the x and y values.
Given the data:
- x: 25, 30, 80, 150, 250, 350, 425, 450, 500
- y: 375, 225, 120, 75, 50, 100, 175, 275, 400
To analyze the association:
- Plotting the Data: If you were to plot these points on a scatterplot, you would create a graph where the x values are on the horizontal axis and y values are on the vertical axis.
- Observing Trends:
- As x increases from 25 to 500, the y values initially decrease significantly, reaching a low of 50 at x = 250.
- After this low point, some y values increase again, suggesting that they don't follow a straight line.
Determine the Type of Association:
- No Association: This would suggest that there is no correlation between x and y, which does not apply here since there are clear changes in y as x changes.
- Linear Association: This indicates a consistent straight-line pattern. The data does not follow this pattern as it decreases and then increases.
- Non-Linear Association: This means the relationship does not follow a straight line but may show curves or other patterns.
- Negative Linear Association: This suggests that as x increases, y consistently decreases, which is not entirely true since y increases again after a certain point.
Given the trends in the data:
Conclusion:
The appropriate response based on this analysis would be:
non-linear association