Question

Use the tables to create scatterplots and determine which scatterplot shows a non-linear association.(1 point)

x
50 46 98 59 78 64 68 53 70 72
y
75 71 90 55 70 100 90 25 40 76

x
50 46 80 59 78 64 68 53 70 68
y
90 100 57 80 60 75 72 82 70 67

x
50 46 90 59 78 64 68 53 70 72
y
75 71 100 80 90 82 85 77 87 89

x
50 46 80 59 78 64 68 53 70 68
y
35 30 75 45 70 50 55 36 62 67

Answer 1

The first table (x = 50,46,98,59,78,64,68,53,70,72 with y = 75,71,90,55,70,100,90,25,40,76) shows a non‑linear association.

Reasoning:
- Table 1: points do not follow a single rising or falling line (y is high at several different x values and low at others), so the pattern is curved/scattered (non‑linear).
- Table 2: y generally decreases as x increases (roughly linear negative association).
- Table 3: y increases as x increases (roughly linear positive association).
- Table 4: y increases as x increases (roughly linear positive association).

So only the first scatterplot shows a clear non‑linear pattern.