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 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 can analyze the data sets as follows:

• Data Set A:

  • Points are: (0,0), (1,-1), (2,12), (3,7), (4,-4), (5,5)
  • This data set does not consistently decrease or increase and has a mix of positive and negative values.

• Data Set B:

  • Points are: (0,1), (3,4), (6,8), (9,16), (12,64)
  • This data set consistently increases, indicating a positive linear relationship.

• Data Set C:

  • Points are: (0,4), (1,6), (2,8), (3,10), (4,12)
  • This data set also consistently increases, indicating a positive linear relationship.

• Data Set D:

  • Points are: (0,-4), (1,-6), (2,-8), (3,-10), (4,-12)
  • This data set consistently decreases, indicating a negative linear relationship.

Based on this analysis, Data Set D represents a negative linear relationship.