Question

se the data sets to answer the question.

Data Set A: (0,0)
, (1,1)
, (2,2)
, (3,3)
, (4,4)
, (5,5)


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


Data Set C: (0,1)
, (3,3)
, (6,9)
, (9,27)
, (12,81)


Data Set D: (10,0)
, (11,−1)
, (12,−2)
, (13,−3)
, (14,−4)


Create a scatterplot for each of the data sets shown. Distinguish which set of data represents a non-linear relationship.

(1 point)
Responses

Data Set A
Data Set A

Data Set C
Data Set C

Data Set B
Data Set B

Data Set D

Answer 1

All except Data Set C are linear.

- Data Set A: points lie on the line y = x (linear).
- Data Set B: points lie on the line y = 2x + 4 (linear).
- Data Set D: points lie on the line y = −x + 10 (linear).
- Data Set C: points (0,1),(3,3),(6,9),(9,27),(12,81) follow y = 3^(x/3) (exponential) — non‑linear.

So Data Set C is the non-linear relationship.