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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 B
Data Set B

Data Set D
Data Set D

Data Set C
Data Set C

1 answer

To distinguish among the data sets you provided, let's analyze the trends in the values to identify a negative linear relationship.

  1. Data Set A:

    • Points: (0,0), (1,-1), (2,12), (3,7), (4,-4), (5,5)
    • The values do not show a consistent trend since they rise and fall. However, the first two points decrease, which might suggest a temporary decrease but overall is not linear.

  2. Data Set B:

    • Points: (0,1), (3,4), (6,8), (9,16), (12,64)
    • This data set shows increasing values as the x-coordinate increases. Therefore, it represents a positive relationship.

  3. Data Set C:

    • Points: (0,4), (1,6), (2,8), (3,10), (4,12)
    • This data set shows an increase in y-values as x-values increase, which represents a positive linear relationship.

  4. Data Set D:

    • Points: (0,-4), (1,-6), (2,-8), (3,-10), (4,-12)
    • This data set shows a consistent downward trend (as x increases, y decreases). This represents a negative linear relationship.

Based on this analysis, Data Set D is the one that represents a negative linear relationship.

Response:

Data Set D