Question

Use the data sets to answer the question.

Data Set A: (0,0)
, (1,−1)
, (2,12)
, (3,7)
, (4,−4)
, (5,5)

Data Set B: (0,1)
, (3,4)
, (6,8)
, (9,16)
, (12,64)

Data Set C: (0,4)
, (1,6)
, (2,8)
, (3,10)
, (4,12)

Data Set D: (0,−4)
, (1,−6)
, (2,−8)
, (3,−10)
, (4,−12)

Create a scatterplot for each of the data sets shown. Distinguish which set of data represents a negative linear relationship.

(1 point)
Responses

Data Set C
Data Set C

Data Set B
Data Set B

Data Set A
Data Set A

Data Set D

Answer 1

To determine which data set represents a negative linear relationship, we need to analyze the slopes of the points in each dataset.

1. **Data Set A**:
- Points: (0,0), (1,-1), (2,12), (3,7), (4,-4), (5,5)
- This data set has varying y-values. Notably, from (0,0) to (1,-1) there is a decrease, suggesting a negative relationship initially, but it doesn’t persist through the dataset.

2. **Data Set B**:
- Points: (0,1), (3,4), (6,8), (9,16), (12,64)
- This dataset shows an increasing trend as the x-values increase, indicating a positive relationship.

3. **Data Set C**:
- Points: (0,4), (1,6), (2,8), (3,10), (4,12)
- This dataset also shows a clear increasing trend, indicating a positive relationship.

4. **Data Set D**:
- Points: (0,-4), (1,-6), (2,-8), (3,-10), (4,-12)
- This data set clearly has a consistent negative trend, as all y-values decrease as x-values increase.

From this analysis, **Data Set D** represents a negative linear relationship.

So the correct response is:

**Data Set D**