Question

which table shows negative correlation?

x	y
2	12
3	10
4	17
5	18
x	y
1	25
2	23
3	15
4	17
5	12
x	y
1	28
2	20
3	24
4	22
5	23

Explanation:

Step1: Recall negative - correlation concept

In negative correlation, as the value of $x$ increases, the value of $y$ generally decreases.

Step2: Analyze the first table

For the first table, when $x$ goes from 1 to 2, $y$ decreases from 19 to 12, but when $x$ goes from 2 to 3, $y$ decreases from 12 to 10, and when $x$ goes from 3 to 4, $y$ increases from 10 to 17, so it does not show a consistent negative - correlation.

Step3: Analyze the second table

In the second table, as $x$ increases from 1 to 2, $y$ decreases from 25 to 23, as $x$ increases from 2 to 3, $y$ decreases from 23 to 15, as $x$ increases from 3 to 4, $y$ increases from 15 to 17, but as $x$ increases from 4 to 5, $y$ decreases from 17 to 12. Overall, it shows a general trend of $y$ decreasing as $x$ increases.

Step4: Analyze the third table

In the third table, as $x$ increases from 1 to 2, $y$ decreases from 28 to 20, but as $x$ increases from 2 to 3, $y$ increases from 20 to 24, so it does not show a consistent negative - correlation.

Answer:

The second table.