What information does the strength of a correlation coefficient convey?

a. the strength of a correlation, indicated by + or −, reflects the direction or slope of a correlation. a positive correlation is stronger than a negative correlation.
b. the strength of a correlation reflects how close data points fall to the regression line. the closer a correlation is to r = ±1.0, the stronger the correlation.
c. the strength of a correlation reflects how close data points fall to the regression line. the closer a correlation is to r = 0.0, the stronger the correlation.
d. the strength of a correlation, indicated by + or −, reflects the direction or slope of a correlation. a negative correlation is stronger than a positive correlation

Option B) The strength of a correlation reflects how close data points fall to the regression line. The closer a correlation is to r = ±1.0, the stronger the correlation.

Step-by-step explanation:

Correlation:

Correlation is a technique that help us to find or define a relationship between two variables. A positive correlation means that an increase in one quantity leads to an increase in another quantity A negative correlation means with increase in one quantity the other quantity decreases. +1 tells about a a perfect positive linear relationship and −1 indicates a perfect negative linear relationship. Values between 0 and 0.3 tells about a weak positive linear relationship, values between 0.3 and 0.7 shows a moderate positive correlation and a correlation of 0.7 and 1.0 states a strong positive linear relationship. Values between 0 and -0.3 tells about a weak negative linear relationship, values between -0.3 and -0.7 shows a moderate negative correlation and a correlation value of of -0.7 and -1.0 states a strong negative linear relationship.

Thus, we can say that the strength of a correlation reflects how close data points fall to the regression line. The closer a correlation is to r = ±1.0, the stronger the correlation.