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 D
Data Set D

Data Set B
Data Set B

Data Set A
Data Set A

Answer 1

To identify which data set represents a negative linear relationship, let's first consider each data set and its characteristics based on the given points.

Data Set A:

• Points: (0, 0), (1, -1), (2, 12), (3, 7), (4, -4), (5, 5)
• This data set shows a mix of positive and negative values, suggesting no consistent linear pattern.

Data Set B:

• Points: (0, 1), (3, 4), (6, 8), (9, 16), (12, 64)
• This data set shows all positive values and an increasing trend, indicating a positive relationship.

Data Set C:

• Points: (0, 4), (1, 6), (2, 8), (3, 10), (4, 12)
• This data set shows all positive values with a consistent increment, indicating a positive linear relationship.

Data Set D:

• Points: (0, -4), (1, -6), (2, -8), (3, -10), (4, -12)
• This data set shows decreasing y-values as x increases, indicating a negative linear relationship.

Conclusion:

The only data set that represents a negative linear relationship is Data Set D, as it shows a consistent decrease in the y-values.

Final Answer:

Data Set D