Question

determine whether the points in each scatterplot have a positive correlation, a negative correlation, or no correlation. then, determine which r - value is most accurate.
a. r = 0.02
b. r = 0.57
c. r = 0.83
d. r = 1
determine whether the points in each scatterplot have a positive correlation, a negative correlation, or no correlation. then, determine which r - value is most accurate.
a. r = 0.9
b. r = - 0.6
c. r = 0.02
d. r = 0.006

Explanation:

Step1: Analyze the first scatter - plot

As the x - values increase, the y - values generally increase, so it has a positive correlation. The points are not perfectly aligned, so the correlation is not perfect (r = 1). A value of r = 0.02 is too close to 0 for this visible upward trend. Among the given options, r = 0.57 is a more reasonable value for this moderately positive - correlated scatter - plot.

Step2: Analyze the second scatter - plot

The points are randomly scattered with no clear upward or downward trend. So, it has no correlation. A correlation coefficient close to 0 indicates no correlation. Among the given options, r = 0.02 is the most appropriate as it is closest to 0.

Answer:

1. B. r = 0.57
2. C. r = 0.02