Use the data sets to answer the question.

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 A
Data Set A

Data Set D
Data Set D

Data Set C
Data Set C

Data Set B

Answer 1

To determine which data set represents a negative linear relationship, let's briefly analyze each data set based on their coordinates.

1. Data Set A:

   • Points: (0,0), (1,−1), (2,12), (3,7), (4,−4), (5,5)
   • Observations: The y-values do not change consistently; there are both increases and decreases, so this does not represent a linear relationship.

2. Data Set B:

   • Points: (0,1), (3,4), (6,8), (9,16), (12,64)
   • Observations: The y-values increase as x increases, showing a positive relationship.

3. Data Set C:

   • Points: (0,4), (1,6), (2,8), (3,10), (4,12)
   • Observations: The y-values increase as x increases, indicating a positive linear relationship.

4. Data Set D:

   • Points: (0,−4), (1,−6), (2,−8), (3,−10), (4,−12)
   • Observations: The y-values decrease as x increases, indicating a consistent negative linear relationship.

Conclusion: The data set that represents a negative linear relationship is Data Set D.

So the response should be:

Data Set D.