To determine the type of association from the given data, we can plot the x and y values on a scatterplot and analyze the pattern formed by the points. Here are the x and y values you've provided:
- x: 25, 30, 80, 150, 250, 350, 425, 450, 500
- y: 375, 225, 120, 75, 50, 100, 175, 275, 400
You can visualize the scatterplot as follows:
-
Plotting Points: The points plotted on a graph (x, y) will be:
- (25, 375)
- (30, 225)
- (80, 120)
- (150, 75)
- (250, 50)
- (350, 100)
- (425, 175)
- (450, 275)
- (500, 400)
-
Analyzing the Pattern: Based on the values:
- As x increases, y initially decreases, reaching a minimum, and then starts to increase again.
- This suggests that there is no simple linear relationship.
From this analysis, we observe that the points create a downward trend followed by an upward trend, which indicates a non-linear association.
Conclusion:
The correct response for the type of association based on the provided data is:
non-linear association