Question
Lauren recorded data from a science experiment. She calculated the line of best fit. Then she used the correlation coefficient to determine the strength of the linear fit.
Which correlation coefficient represents the strongest linear relationship?
Which correlation coefficient represents the strongest linear relationship?
Answers
GPT-4o mini
The correlation coefficient, often denoted as \( r \), ranges from -1 to 1. A value of \( r = 1 \) indicates a perfect positive linear relationship, while \( r = -1 \) indicates a perfect negative linear relationship. The closer the absolute value of \( r \) is to 1, the stronger the linear relationship.
Therefore, the strongest linear relationship would be represented by either \( r = 1 \) (perfect positive correlation) or \( r = -1 \) (perfect negative correlation). If you're comparing values, the highest absolute value, whether positive or negative, indicates the strongest relationship.
In summary, the strongest correlation coefficient represents either \( r = 1 \) or \( r = -1 \).
Therefore, the strongest linear relationship would be represented by either \( r = 1 \) (perfect positive correlation) or \( r = -1 \) (perfect negative correlation). If you're comparing values, the highest absolute value, whether positive or negative, indicates the strongest relationship.
In summary, the strongest correlation coefficient represents either \( r = 1 \) or \( r = -1 \).