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), (1, - 12)
Create a scatterplot for each of the data sets shown. Distinguish which set of data represents a negative linear relationship.
(1 point)
Data Set B
Data Set C
• Data Set D
• Data Set A

Answer 1

To determine which data set represents a negative linear relationship, we need to analyze the trend in each of the provided data sets. Here's a summary of the data sets:

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

  • This data fluctuates and does not show a consistent negative or positive trend.

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

  • This data shows a positive trend as the y-values increase with x-values.

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

  • This data also shows a positive trend as the y-values increase with x-values.

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

  • This data clearly shows a negative linear relationship, as the y-values decrease as the x-values increase.

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