Use the data sets to answer the question.

Question

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

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

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

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

Data Set C
Data Set C

Data Set B
Data Set B

Data Set A

Answer 1

To create scatterplots for each of the data sets, we will analyze the points given in each data set. Here's a brief description of each data set:

1. Data Set A:

   • Points: (0, 0), (1, -1), (2, 12), (3, 7), (4, -4), (5, 5)
   • The values fluctuate and do not show a clear linear trend.

2. Data Set B:

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

3. Data Set C:

   • Points: (0, 4), (1, 6), (2, 8), (3, 10), (4, 12)
   • This shows a positive linear relationship, as y-values increase steadily with x-values.

4. Data Set D:

   • Points: (0, -4), (1, -6), (2, -8), (3, -10), (4, -12)
   • This shows a negative linear relationship, as y-values decrease steadily as x-values increase.

Upon analyzing the data sets, Data Set D clearly represents a negative linear relationship.

Thus, the correct response is:

Data Set D.