Use the tables to create scatter plot and determine which scatter plot shows a non-linear association.

Question

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

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

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

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

Answer 1

To determine which scatter plot shows a non-linear association, we need to plot each set of points on a graph.

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

For set B:
x: 50, 46, 80, 59, 78, 64, 68, 53, 70, 68
y: 90, 100, 57, 80, 60, 75, 72, 82, 70, 67

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

For set D:
x: 50, 46, 80, 59, 78, 64, 68, 53, 70, 68
y: 35, 30, 75, 45, 70, 50, 55, 36, 62, 67

After plotting the data points for each set, it appears that set C shows a non-linear association.