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

non-linear association
non-linear association

no association
no association

negative linear association
negative linear association

linear association

Answer 1

To analyze the association between the x and y values provided in your table, we can visualize the data points and identify any trends:

Here are the x and y values you provided:

| x | y |
|------|-----|
| 25 | 375 |
| 30 | 225 |
| 80 | 120 |
| 150 | 75 |
| 250 | 50 |
| 350 | 100 |
| 425 | 175 |
| 450 | 275 |
| 500 | 400 |

### Steps to Analyze:

1. **Plot the Points:**
- When you plot the given x and y values on a scatterplot, you will place points for each pair (x, y):
- (25, 375)
- (30, 225)
- (80, 120)
- (150, 75)
- (250, 50)
- (350, 100)
- (425, 175)
- (450, 275)
- (500, 400)

2. **Visual Examination:**
- For x increasing from 25 to 500, y decreases initially, reaches a minimum (50 at x=250), and then rises again to 400 (as x approached 500).
- The initial decline and subsequent increase suggest a non-linear pattern.

### Type of Association:
Given the shape of the plotted points, the association is not a straight line. Therefore, the type of association can be concluded as **non-linear association**.

### Response:
The correct answer is:

**non-linear association**