Which of the following correlation coefficients may represent a strong correlation?
a)+0.30 b)+0.75 c)+1.3 d) -0.85 e) -0.05
Correlation coefficients are used to measure how strong a relationship is between two variables. There are several types of correlation coefficients, but the most popular is Pearson’s. Pearson’s correlation is a correlation coefficient commonly used in linear regression. Generally, correlation coefficients range between -1.00 to +1.00.
Answer: -0.85 (Option d) is the strongest correlation coefficient which represents the strongest correlation as compared to others.
Let us understand how did we arrive at the answer.
According to the rule of correlation coefficients, the strongest correlation is considered when the value is closest to +1 (positive correlation) or -1 (negative correlation).
A positive correlation coefficient indicates that the value of one variable depends on the other variable directly.
A zero-correlation coefficient indicates that there is no correlation between both variables.
A negative correlation coefficient indicates that the value of one variable depends on the other variable inversely.
Hence, according to the options, we know that -0.85 is the closest to -1, and none of the values is closer than that to either of -1 or +1. Hence, it is more negatively correlated.