To create a scatterplot and determine the type of association from the given values, we first need to outline the x and y values based on the table provided, which appears incomplete but still implies a set of coordinates.
From the values listed, I will assume the corresponding pairs are as follows:
- (25, 375)
- (30, 225)
- (80, 120)
- (150, 75)
- (250, 50)
- (350, 100)
- (425, 175)
- (450, 275)
- (500, 400)
Next, we can plot these points in a scatterplot to visualize the relationship between x and y.
Scatterplot Analysis:
Now, let's analyze the relationship observed in the scatterplot:
- Negative Linear Association: The data points would show a downward trend as x increases.
- Linear Association: The data points would show an upward or downward straight line trend as x increases.
- Non-linear Association: The data points might curve or not form a straight line, indicating a complex relationship.
- No Association: The points would be scattered without any discernible trend or pattern.
Observations:
Without plotting the points but examining the listed pairs, it seems that as the value of x increases, the value of y initially decreases (e.g., from (25, 375) to (30, 225) to (80, 120)) and then starts increasing again (e.g., from (350, 100) to (425, 175) to (500, 400)).
This suggests that the relationship is not simple linear but could be non-linear due to the behavior of the y values as x increases. It indicates some kind of curvilinear trend.
Based on the information available, the most appropriate choice would be:
- Non-linear association
If you have a graphing tool or software, you can plot the points to better visualize this conclusion.