Question

which table shows no correlation?

x	3	5	6	8	10	14	15
y	-1	-2	-3	-2	-5	-4	-8
x	3	5	6	8	10	14	15
y	-6	-7	-4	-2	0	-1	3
x	3	5	6	8	10	14	15
y	-2	-4	6	8	12	10	-16
x	3	5	6	8	10	14	15
y	-3	-5	-9	-11	-13	-15	-17

Explanation:

Step1: Check for pattern

In a no - correlation situation, there is no clear relationship between x and y values.
In the first table, as x increases, y has no clear increasing or decreasing trend.
In the second table, as x increases, y generally increases.
In the third table, as x increases, y has an irregular but somewhat increasing trend.
In the fourth table, as x increases, y decreases.

Answer:

The first table (with x: 3, 5, 6, 8, 10, 14, 15 and y: -1, -2, -3, -2, -5, -4, -8) shows no correlation.