Question

Which graph best represents the following situation?

Answer 1

Answer:

The correct option is D. The situations x increases, y decreases; r= -0.41 is represented by Graph D.

Step-by-step explanation:

Given information: x increases, y decreases; r= -0.41.

Here r represents the correlation between two variables x and y.

If r is close to -1, then it is strong negative correlation.

If r is close to 1, then it is strong Positive correlation .

If r is close to -0.5, then it is weak negative correlation.

If r is close to 0.5, then it is weak positive correlation .

If r=0, then there is no correlation between x and y.

In graph A,  x increases, y decreases and r is close to -1 because it is strong negative correlation.

Therefore option A is incorrect.

In graph B,  x increases, y increases and r is close to 0.5 because it is weak positive correlation.

Therefore option B is incorrect.

In graph C,  x increases, y increases and r is close to 1 because it is strong positive correlation.

Therefore option C is incorrect.

In graph A,  x increases, y decreases and r is close to -0.5 because it is weak negative correlation.

Therefore option D is correct.

Answer 2

Answer:

Option D.

Step-by-step explanation:

Given information: x increases, y decreases; r= -0.41.

r represents the correlation between two variables x and y.  

Correlation is defined as:

Strong negative correlation: r is close to -1

Strong positive correlation: r is close to 1

Weak negative correlation : r is close to -0.5

Weak positive correlation : r is close to 0.5

If r=0, then there is no correlation between x and y.

In graph B and C,  y-increases as x increases. It means they represent positive correlation.

Therefore options B and C are incorrect.

In graph A and D, y-decreases as x increases. It means they represent negative correlation.

Graph A represents a Strong negative correlation. It means the value of r must be close to -1.

Graph D represents a weak negative correlation. It means the value of r must be close to -0.5.

Therefore option D is correct.