Question

which table shows a positive correlation?

x	y
2	5
2	5
4	5
5	5
x	y
1	10
2	18
3	31
4	37
5	52
x	y
1	24
2	15
3	13
4	9
5	6
x	y
8	9
8	12
8	17
8	21
8	22

Explanation:

Step1: Recall positive - correlation concept

In a positive correlation, as the value of $x$ increases, the value of $y$ also increases.

Step2: Analyze the first table

When $x$ increases from 1 to 5, $y = 5$ remains constant. So, no positive correlation.

Step3: Analyze the second table

As $x$ increases from 1 to 5 ($1
ightarrow2
ightarrow3
ightarrow4
ightarrow5$), $y$ increases from 10 to 52 ($10
ightarrow18
ightarrow31
ightarrow37
ightarrow52$). This shows a positive correlation.

Step4: Analyze the third table

As $x$ increases from 1 to 5, $y$ decreases from 24 to 6. So, no positive correlation.

Step5: Analyze the fourth table

$x$ is constant ($x = 8$) while $y$ changes. So, no positive - correlation.

Answer:

The second table shows a positive correlation.