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

Answer:

The fourth table shows a negative correlation.

Explanation:

Step1: Understand negative correlation

Negative correlation means as $x$ - values increase, $y$ - values decrease.

Step2: Analyze first table

In the first table, as $x$ increases from 2 to 5, $y$ increases from - 8 to - 5, not a negative correlation.

Step3: Analyze second table

In the second table, $y$ is constant (-5) for different $x$ - values, no correlation.

Step4: Analyze third table

In the third table, as $x$ increases from 2 to 5, $y$ decreases from 6 to 3, but then as $x$ increases from 6 to 7, $y$ stays the same (1), not a consistent negative correlation.

Step5: Analyze fourth table

In the fourth table, as $x$ increases from 2 to 5, $y$ decreases from 4 to 2, as $x$ increases from 5 to 6, $y$ decreases from 2 to - 4, and so on. As $x$ increases, $y$ generally decreases, showing a negative correlation.