Question

Create a scatter plot for the data set below. What type of relationship is associated with this data?

Data Set = (10, 0), (11, -1), (12, -2), (13, -3), (14, -4)

(1 point)
Responses

no association is represented
no association is represented

positive linear association
positive linear association

negative linear association
negative linear association

nonlinear association

Answer 1

To create a scatter plot for the given data set, we can plot the points based on the pairs of coordinates provided:

- (10, 0)
- (11, -1)
- (12, -2)
- (13, -3)
- (14, -4)

When plotting these points on a graph:

- The x-axis will represent the first number in each pair (10, 11, 12, 13, 14).
- The y-axis will represent the second number in each pair (0, -1, -2, -3, -4).

### Analysis of the Data Points
- As the x-values increase, the y-values are consistently decreasing.
- This indicates a downward trend in the data points.

### Type of Relationship
Based on the analysis of the data points:

- The relationship between the x and y values is linear because the points can be connected in a straight line.
- The slope of the line is negative because increases in the x-value result in decreases in the y-value.

### Conclusion
The type of relationship associated with this data is a **negative linear association**.

Therefore, the correct response is:

**negative linear association**