Q:

Which graph best represents the following situation?As x increases, y decreases; r= -0.41.O A. Graph AO B. Graph BO C. Graph COD. Graph D​

Accepted Solution

A:
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.