To determine the type of association between the given x and y values, we can analyze the data points and observe whether there is a pattern.
Here are the x and y values provided:
x: 25, 30, 80, 150, 250, 350, 425, 450, 500
y: 375, 225, 120, 75, 50, 100, 175, 275, 400
Now let's evaluate the trend:
- For lower x values (25 to about 150), y starts high (375) and decreases as x increases.
- From around x = 150 to x = 250, y continues to decrease to 50.
- When x increases from 250 to 500, y starts to increase again (from 50 to 400).
This pattern indicates a decrease followed by an increase, suggesting that the relationship is not linear and does not show a consistent trend in one direction.
Based on this analysis, the best description of the association between x and y in this dataset is non-linear association.