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

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 | -5 | -5 | -5 | -5 | -5 |\n| x | 2 | 5 | 6 | 7 | 10 | 12 |\n| y | 6 | 3 | 1 | 1 | 3 | 6 |\n| x | 2 | 5 | 6 | 7 | 10 | 12 |\n| y | 4 | 2 | -4 | -3 | -11 | -12 |

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 | -5 | -5 | -5 | -5 | -5 |\n| x | 2 | 5 | 6 | 7 | 10 | 12 |\n| y | 6 | 3 | 1 | 1 | 3 | 6 |\n| x | 2 | 5 | 6 | 7 | 10 | 12 |\n| y | 4 | 2 | -4 | -3 | -11 | -12 |

Answer

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 from 2 to 12 ((2,5,6,7,10,12)), (y) does not consistently decrease ((- 8,-5,-6,-3,-2,-1)).

Step3: Analyze the second table

(y=-5) for all values of (x), so there is no correlation.

Step4: Analyze the third table

As (x) increases from 2 to 6 ((2,5,6)), (y) decreases from 6 to 1 ((6,3,1)), and as (x) increases from 6 to 7, (y) stays the same ((1)), then as (x) increases from 7 to 12 ((7,10,12)), (y) increases from 1 to 6 ((1,3,6)). It does not show a consistent negative - correlation.

Step5: Analyze the fourth table

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

Answer:

The fourth table (with (x = 2,5,6,7,10,12) and (y = 4,2,-4,-3,-11,-12)) shows a negative correlation.