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
nonlinear association
nonlinear association
positive linear association
positive linear association
negative linear association
Data Set = (10, 0), (11, -1), (12, -2), (13, -3), (14, -4)
(1 point)
Responses
no association is represented
no association is represented
nonlinear association
nonlinear association
positive linear association
positive linear association
negative linear association
Answers
GPT-4o mini
To analyze the provided data set:
\[
(10, 0), (11, -1), (12, -2), (13, -3), (14, -4)
\]
we can plot the points on a scatter plot.
### Data Points:
- \( (10, 0) \)
- \( (11, -1) \)
- \( (12, -2) \)
- \( (13, -3) \)
- \( (14, -4) \)
### Observing the Relationship:
- As the x-values increase from 10 to 14, the y-values decrease from 0 to -4.
- This indicates that there is a downward trend in the data.
### Conclusion:
- The relationship described by the data is a **negative linear association**. The plotted points would show a straight line that slopes downwards from left to right.
Thus, the correct response is:
**negative linear association**.
\[
(10, 0), (11, -1), (12, -2), (13, -3), (14, -4)
\]
we can plot the points on a scatter plot.
### Data Points:
- \( (10, 0) \)
- \( (11, -1) \)
- \( (12, -2) \)
- \( (13, -3) \)
- \( (14, -4) \)
### Observing the Relationship:
- As the x-values increase from 10 to 14, the y-values decrease from 0 to -4.
- This indicates that there is a downward trend in the data.
### Conclusion:
- The relationship described by the data is a **negative linear association**. The plotted points would show a straight line that slopes downwards from left to right.
Thus, the correct response is:
**negative linear association**.