which graph shows data whose r-value is most likely closest to 1?
which graph shows data whose r-value is most likely closest to 1?
Answer
Explanation:
Step1: Recall r - value meaning
The correlation coefficient ( r ) measures the strength and direction of a linear relationship between two variables. An ( r )-value close to 1 indicates a strong positive linear relationship, meaning as one variable increases, the other variable also increases, and the points lie close to a straight line with a positive slope.
Step2: Analyze each graph
- First graph: The points seem to have a negative trend (as ( x ) increases, ( y ) decreases), so ( r ) would be negative, not close to 1.
- Second graph: The points show a positive trend, and they are relatively close to a straight line with a positive slope. This indicates a strong positive linear relationship, so ( r ) is likely close to 1.
- Third graph: The points seem to have a negative trend (as ( x ) increases, ( y ) decreases), so ( r ) would be negative, not close to 1.
Answer:
The Middle Graph