Question

x | y
1.6 | 39
1.9 | 38
2.3 | 42
3.4 | 40
3.8 | 41
4.2 | 44
4.3 | 42
4.6 | 45
4.8 | 44
which statement about the table is true?

• there is a cluster, and as x decreases, y increases.
• there is a cluster, and as x increases, y increases.
• there is not a cluster, and as x increases, y increases.
• there is not a cluster, and as x decreases, y increases.

Explanation:

1. First, check for clusters: The x-values range from 1.6 to 4.8, with most values (1.6,1.9,2.3; 3.4,3.8; 4.2,4.3,4.6,4.8) grouping in tight ranges, so a cluster exists.
2. Next, check the trend of y as x increases: As x goes from 1.6 to 4.8, the overall y-values rise (from 39 to 44, with minor fluctuations), so y generally increases with x.

Answer:

There is a cluster, and as x increases, y increases.