which table shows a positive correlation?\n| x | y | | x | y | | x | y | | x | y |\n| 1 | 5 | | 1 | 10 | | 1…
which table shows a positive correlation?\n| x | y | | x | y | | x | y | | x | y |\n| 1 | 5 | | 1 | 10 | | 1 | 24 | | 8 | 9 |\n| 2 | 5 | | 2 | 18 | | 2 | 15 | | 8 | 12 |\n| 2 | 5 | | 3 | 31 | | 3 | 13 | | 8 | 17 |\n| 4 | 5 | | 4 | 37 | | 4 | 9 | | 8 | 21 |\n| 5 | 5 | | 5 | 52 | | 5 | 6 | | 8 | 22 |
Answer
Explanation:
Step1: Understand positive correlation
Positive correlation means as $x$ - values increase, $y$ - values also increase.
Step2: Analyze first table
In the first table, as $x$ increases from 1 to 5 ($1,2,2,4,5$), $y$ remains constant at 5. So, no positive correlation.
Step3: Analyze second table
In the second table, as $x$ increases ($1,2,3,4,5$), $y$ values ($10,18,31,37,52$) also increase. There is a positive correlation.
Step4: Analyze third table
In the third table, as $x$ increases from 1 to 5 ($1,2,3,4,5$), $y$ values ($24,15,13,9,6$) decrease. So, no positive correlation.
Step5: Analyze fourth table
In the fourth table, $x$ values are all 8. Since $x$ is not changing, we cannot talk about a correlation based on the change of $x$.
Answer:
The second table (with $x$ - values 1, 2, 3, 4, 5 and $y$ - values 10, 18, 31, 37, 52) shows a positive correlation.