comparing tables of data\nwhich table shows a positive correlation?\n| x | y |\n|----|----| \n| 1 | 5 |\n| 2…

comparing tables of data\nwhich table shows a positive correlation?\n| x | y |\n|----|----| \n| 1 | 5 |\n| 2 | 5 |\n| 2 | 5 |\n| 4 | 5 |\n| 5 | 5 |\n| x | y |\n|----|----| \n| 1 | 10 |\n| 2 | 18 |\n| 3 | 31 |\n| 4 | 37 |\n| 5 | 52 |\n| x | y |\n|----|----| \n| 1 | 24 |\n| 2 | 15 |\n| 3 | 13 |\n| 4 | 9 |\n| 5 | 6 |\n| x | y |\n|----|----| \n| 8 | 9 |\n| 8 | 12 |\n| 8 | 17 |\n| 8 | 21 |\n| 8 | 22 |

comparing tables of data\nwhich table shows a positive correlation?\n| x | y |\n|----|----| \n| 1 | 5 |\n| 2 | 5 |\n| 2 | 5 |\n| 4 | 5 |\n| 5 | 5 |\n| x | y |\n|----|----| \n| 1 | 10 |\n| 2 | 18 |\n| 3 | 31 |\n| 4 | 37 |\n| 5 | 52 |\n| x | y |\n|----|----| \n| 1 | 24 |\n| 2 | 15 |\n| 3 | 13 |\n| 4 | 9 |\n| 5 | 6 |\n| x | y |\n|----|----| \n| 8 | 9 |\n| 8 | 12 |\n| 8 | 17 |\n| 8 | 21 |\n| 8 | 22 |

Answer

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

For the first table, as $x$ increases from 1 to 5 ($1,2,2,4,5$), $y$ remains constant at 5. So, there is no positive correlation.

Step3: Analyze the second table

As $x$ increases ($1,2,3,4,5$), $y$ increases ($10,18,31,37,52$). This shows a positive correlation.

Step4: Analyze the third table

As $x$ increases from 1 to 5 ($1,2,3,4,5$), $y$ decreases ($24,15,13,9,6$). So, there is a negative correlation.

Step5: Analyze the fourth table

Here, $x$ is constant at 8. For a correlation, we need $x$ to vary and have a relationship with $y$. Since $x$ is not changing, there is no correlation.

Answer:

The second table shows a positive correlation.