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.
