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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 A
Data Set A

Data Set D
Data Set D

Data Set B
Data Set B

Data Set C

1 answer

To determine which data set represents a negative linear relationship, we can analyze the points provided in each data set and the direction of their slopes.

Data Set A:

  • Points: (0,0), (1,−1), (2,12), (3,7), (4,−4), (5,5)
  • This set does not show a consistent negative relationship due to the presence of positive values.

Data Set B:

  • Points: (0,1), (3,4), (6,8), (9,16), (12,64)
  • This set is positively correlated as the y-values increase with the x-values.

Data Set C:

  • Points: (0,4), (1,6), (2,8), (3,10), (4,12)
  • This set is also positively correlated as the y-values consistently increase with the x-values.

Data Set D:

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

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