which table shows a negative correlation?\n x 2 5 6 7 10 12\n y -8 -5 -6 -3 -2 -1\n x 2 5 6 7 10 12\n y -5…

Explanation:

Step1: Recall negative - correlation concept

In a negative correlation, as the value of (x) increases, the value of (y) decreases.

Step2: Analyze the first table

As (x) increases ((2,5,6,7,10,12)), (y) does not consistently decrease. For example, when (x) goes from (5) to (6), (y) goes from (- 5) to (-6) and then from (6) to (7), (y) goes from (-6) to (-3).

Step3: Analyze the second table

Here, (y=-5) for all values of (x). There is no correlation (neither positive nor negative).

Step4: Analyze the third table

As (x) increases ((2,5,6,7,10,12)), (y) first decreases from (6) to (1) and then increases from (1) to (6). There is no consistent negative - trend.

Step5: Analyze the fourth table

As (x) increases ((2,5,6,7,10,12)), (y) decreases ((4,2, - 4,-3,-11,-12)). This shows a negative correlation.

Answer:

The fourth table (where (x = 2,5,6,7,10,12) and (y = 4,2,-4,-3,-11,-12))