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:
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.
