what is the best estimate of the correlation coefficient for the data set?\na. -0.9\nb. -0.5\nc. 0.5\nd. 0.9
what is the best estimate of the correlation coefficient for the data set?\na. -0.9\nb. -0.5\nc. 0.5\nd. 0.9
Answer
Explanation:
Step1: Observe data trend
The scatter - plot shows a strong negative linear relationship. As the x - values increase, the y - values generally decrease.
Step2: Recall correlation coefficient range
The correlation coefficient (r) ranges from - 1 to 1. A value of (r=-1) indicates a perfect negative linear relationship, (r = 1) indicates a perfect positive linear relationship, and (r = 0) indicates no linear relationship.
Step3: Estimate value
Since the relationship is strong and negative, the correlation coefficient should be close to - 1. Among the given options, - 0.9 is the value closest to - 1 that represents a strong negative linear relationship.
Answer:
A. -0.9