Question

The graph below plots the values of y for different values of x: (look at graph picture)

What does a correlation coefficient of 0.9 say about this graph?
A: x and y have a strong, positive correlation
B: x and y have a weak, positive correlation
C: x and y have a strong, negative correlation
D: x and y have a weak, positive correlation

Answer 1

A

Explanation:

I took the test too!

Answer 2

A: x and y have a strong, positive correlation

Explanation:

Correlation coefficient measures the relation between two variable.

it signifies how the value of one variable will change when the change in other variable is made.

Its value ranges from 0 to 1

1. 0 represent no relation
2. 1 represent strong relation

thus, as value increases from 0 to 1 , correlation strength increases.

Correlation coefficient can be negative and positive

1. negative relation signifies that as value of one variable increases then the value of other will decrease and vice-versa
2. positive relation signifies that as value of one variable increases then the value of other will also increase and vice versa

Given, that correlation coefficient between x and y is 0.9

since there is no negative sign it means there is positive correlation

value is 0.9

as 0.9 is nearer to 1, it is clear that relation is strong.

based on above discussion

option A

x and y have a strong, positive correlation is correct answer

If we look at graph we can see that as x increases y also increases.

the rate of increase of value of y in response of x is also high.

Thus, graph also shows that there is strong positive correlation