A graph has height (inches) on the x-axis and arm span (inches) on the y-axis. Points are at (30, 27), (45, 45), (53, 50), (60, 60), (67, 70), and (73, 72).

Question

Identify if there is a relationship between the variables.
1 No, there is no relationship because the points are all up and down.
2 Yes, the relationship displayed shows arm span increasing as height increases.
3 Yes, the relationship displayed shows arm span decreasing as height increases.

Answer 1

The correlation between height and arm span in the provided points can be described by observing the trend in the data:

The points are as follows:

• (30, 27)
• (45, 45)
• (53, 50)
• (60, 60)
• (67, 70)
• (73, 72)

From the observations, as the height (x-values) increases, the arm span (y-values) also tends to increase, indicating a positive relationship.

Thus, the correct answer is: 2 Yes, the relationship displayed shows arm span increasing as height increases.