Answer:
Graph 2) is the correct answer.
Step-by-step explanation:
We know that:
r = -1 is strong negative correlation and 1 is strong positive correlation. 0 means no correlation.
Hence by the values of these r we can characterize our function.
Now in this question we are given that:
The graph shows data whose r-value is most likely closest to 1?
- As the graph 1) is a decrease in the values hence it shows a negative correlation i.e. r= -1. similar is the case for graph 3).
- Also the graph 4) is distorted i.e. it shows no correlation i.e. r=0.
Hence all the remaining three options are discarded.
Hence option 2) is true.
I.e. graph 2) represents a strong positive correlation i.e. r-value is closest to 1.