Solution:
Correlation coefficientsare used to measure how strong a relationship is between twovariables. There are several types of correlation coefficients, but the most popular isPearson’s.Pearson’s correlationis acorrelation coefficientcommonly used inlinear regression. Generally, correlation coefficients range between -1.00 to +1.00.
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 correlationcoefficient 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.
Hence,-0.85 (Option d) is the strongest correlation coefficient which represents the strongest correlation as compared to others.
Summary:
-0.85 (Option d) is the strongest correlation coefficient which represents the strongest correlation as compared to others.
