Question
Which correlation coefficient shows the strongest linear relationship?
*
1 point
r=−0.92
r=0.50
r=−0.30
r=0.85
*
1 point
r=−0.92
r=0.50
r=−0.30
r=0.85
Answers
GPT-4o mini
The correlation coefficient that shows the strongest linear relationship is \( r = -0.92 \).
Correlations range from -1 to 1, where:
- \( r = 1 \) indicates a perfect positive linear relationship,
- \( r = -1 \) indicates a perfect negative linear relationship,
- \( r = 0 \) indicates no linear relationship.
In this case, \( r = -0.92 \) represents a very strong negative linear relationship, while \( r = 0.85 \) indicates a strong positive relationship. However, -0.92 is stronger than 0.85 in terms of the magnitude of correlation. Thus, it is the strongest overall correlation mentioned.
Correlations range from -1 to 1, where:
- \( r = 1 \) indicates a perfect positive linear relationship,
- \( r = -1 \) indicates a perfect negative linear relationship,
- \( r = 0 \) indicates no linear relationship.
In this case, \( r = -0.92 \) represents a very strong negative linear relationship, while \( r = 0.85 \) indicates a strong positive relationship. However, -0.92 is stronger than 0.85 in terms of the magnitude of correlation. Thus, it is the strongest overall correlation mentioned.