Question

which table shows negative correlation?

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 \(y\) increases from \(x = 3\) to \(x=4\) and from \(x = 4\) to \(x = 5\)).

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 (with a small deviation at \(x = 4\), but overall the trend is negative).

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 \(y\) increases from \(x = 2\) to \(x=3\), from \(x = 4\) to \(x = 5\)).

Answer:

The second table.