Question

Bivariate Data Analysis & Probability Unit Test
3 of 163 of 16 Items






Question
Use the table to create a scatterplot. Determine the type of association.

This table presents the x and y values required to create scatter plots and determine the type of association.
x
25 30 80 150 250 350 425 450 500
y
375 225 120 75 50 100 175 275 400


(1 point)
Responses

no association
no association

non-linear association
non-linear association

linear association
linear association

negative linear association
negative linear association

Answer 1

To analyze the data and determine the type of association, we start by creating the scatterplot based on the provided x and y values.

Here are the data points from the table:

- (25, 375)
- (30, 225)
- (80, 120)
- (150, 75)
- (250, 50)
- (350, 100)
- (425, 175)
- (450, 275)
- (500, 400)

### Analyzing the Data:

1. **Plot the Points**: You would plot the points on a graph with x values on the horizontal axis and y values on the vertical axis.

2. **Observe the Trend**: By examining the points:
- From (25, 375) to (30, 225), there is a decrease in y as x increases.
- The values continue to decrease as x increases until it reaches (250, 50).
- After that, the values begin to rise again, from (250, 50) to (500, 400).

### Conclusion on Association Type:

Given the positions of the plotted points:
- Initially, there seems to be a negative trend (downward) until (250, 50).
- From that point, there is a positive trend (upward), suggesting a sort of U-shaped relationship.

Since the overall relationship does not exhibit a clear linear pattern throughout and the values are decreasing and then increasing, we identify this as a **non-linear association**.

### Final Answer:

**non-linear association**