Question

which table shows negative correlation? x y 1 19 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: Understand negative correlation

Negative correlation means as \(x\) increases, \(y\) generally decreases.

Step2: Analyze the first table

For \(x = 1,y = 19\); \(x=2,y = 12\); \(x = 3,y=10\); \(x = 4,y = 17\); \(x=5,y = 18\). The \(y -\)values do not show a consistent decreasing trend as \(x\) increases (since \(y\) goes from \(10\) (at \(x = 3\)) to \(17\) (at \(x = 4\))).

Step3: Analyze the second table

For \(x = 1,y = 25\); \(x=2,y = 23\); \(x = 3,y=15\); \(x = 4,y = 17\); \(x=5,y = 12\). The \(y -\)values show a general decreasing trend as \(x\) increases (\(25\to23\to15\to17\to12\), although there is a small increase from \(x = 3\) to \(x = 4\), the overall trend is decreasing).

Step4: Analyze the third table

For \(x = 1,y = 28\); \(x=2,y = 20\); \(x = 3,y=24\); \(x = 4,y = 22\); \(x=5,y = 23\). The \(y -\)values do not show a consistent decreasing trend as \(x\) increases (since \(y\) goes from \(20\) (at \(x = 2\)) to \(24\) (at \(x = 3\))).

Answer:

The second table.