QUESTION IMAGE
Question
which table shows positive correlation? x y 1 15 2 12 3 14 4 11 5 18 x y 1 11 2 13 3 15 4 17 5 19 x y 1 18 2 16 3 14 4 12 5 11
Step1: Understand positive correlation
Positive correlation means as \(x\) increases, \(y\) also increases.
Step2: Check each table
- First table: When \(x = 1,y = 15\); \(x=2,y = 12\). As \(x\) increases from \(1\) to \(2\), \(y\) decreases. So, no positive correlation.
- Second table: When \(x = 1,y = 11\); \(x = 2,y=13\); \(x = 3,y = 15\); \(x=4,y = 17\); \(x = 5,y=19\). As \(x\) increases by \(1\) each time (\(x:1
ightarrow2
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ightarrow5\)), \(y\) increases by \(2\) each time (\(y:11
ightarrow13
ightarrow15
ightarrow17
ightarrow19\)). So, positive correlation.
- Third table: When \(x = 1,y = 18\); \(x=2,y = 16\). As \(x\) increases from \(1\) to \(2\), \(y\) decreases. So, no positive correlation.
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The second table.