which graph shows data whose r-value is most likely closest to 0?
which graph shows data whose r-value is most likely closest to 0?
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 0 means there is little to no linear relationship between the variables (the points are scattered randomly, not following a linear trend).
Step2: Analyze each graph
- First graph: The points seem to follow a somewhat linear (negative) trend. So ( r ) is not close to 0.
- Second graph: The points follow a positive linear trend (they seem to line up in an upward - sloping pattern). So ( r ) is positive and not close to 0.
- Third graph: The points are scattered randomly, with no clear linear trend (neither positive nor negative linear pattern). This means the linear relationship is weak, so ( r ) is closest to 0.
Answer:
The third graph (the bottom - most graph among the three)