Question

draw a scatter - plot of the data. then tell whether the data have a positive correlation, a negative correlation, or relatively no correlation.
4.

x	1	2	3	4	5	6	7	8
y	6	6	5	5	6	5	4	3

5.

x	1	2	3	4	5	6	7	8
y	4	5	1	6	6	3	1	6

6.

x	1	2	3	4	5	6	7	8
y	2	2	4	6	8	8	10	10

Explanation:

Step1: Recall correlation concept

Positive correlation: as $x$ increases, $y$ generally increases; negative correlation: as $x$ increases, $y$ generally decreases; no - correlation: no clear pattern.

Step2: Analyze data set 4

For $x = 1,2,3,4,5,6,7,8$ and $y = 6,6,5,5,6,5,4,3$, as $x$ increases from $1$ to $8$, $y$ does not have a clear increasing or decreasing trend. So, relatively no correlation.

Step3: Analyze data set 5

For $x = 1,2,3,4,5,6,7,8$ and $y = 4,5,1,6,6,3,1,6$, as $x$ increases, $y$ has no clear increasing or decreasing pattern. So, relatively no correlation.

Step4: Analyze data set 6

For $x = 1,2,3,4,5,6,7,8$ and $y = 2,2,4,6,8,8,10,10$, as $x$ increases, $y$ generally increases. So, positive correlation.

Answer:

1. Relatively no correlation
2. Relatively no correlation
3. Positive correlation