Question

which table shows a negative correlation?

x 2 5 6 7 10 12
y -8 -5 -6 -3 -2 -1

x 2 5 6 7 10 12
y -5 -5 -5 -5 -5 -5

x 2 5 6 7 10 12
y 6 3 1 1 3 6

x 2 5 6 7 10 12
y 4 2 -4 -3 -11 -12

Explanation:

Step1: Check x trend

x increases: 2→5→6→7→10→12.

Step2: Analyze y trends

1st table y: -8→-5→-6→-3→-2→-1 (mostly up). 2nd table y: -5 (constant). 3rd table y: 6→3→1→1→3→6 (down then up). 4th table y: 4→2→-4→-3→-11→-12 (mostly down).

Answer:

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