Question

Based on the ordered pairs in the data below, state whether there is no correlation, a weak correlation, or strong correlation . If there is indeed correlation, determine whether the correlation is negative or positive.
X: 1, 2, 3, 4, 5, 6, 7, 8, 9,
Y: 2, 3, 8, 10, 26, 38, 46, 50, 68

The data above has
A. No correlation
B. A weak correlation
C. A strong correlation

The data above has:
A. No correlation
B. A negative correlation
C. A positive correlation

Answer 1

Answer:

The data above has:

C. A strong correlation

The data above has:

C. A positive correlation

Step-by-step explanation:

We have a  ordered pairs in the data as:

 x             y

 1             2

 2            3

 3            8

 4            10

 5            26

 6            38

 7            46

 8            50

 9            68

Clearly on plotting the scatter plot on the basis of table of values we see that the relation is a strong correlation since we can find a relationship between variable x and y.

i.e. the points will lie above or below the curve  which is formed by connecting some points of the scatter plot and are not scattered away.

Hence, the data above has a:

C. A strong correlation.

Also the graph is a positive correlation since with the increasing value of x the y-value also increases.

Answer 2

The data above has ...
   C. A strong correlation

The data above has ...
   C. A positive correlation

_____
The correlation coefficient is about +0.98, indicating a strong positive correlation.