As a rule of thumb a correlation coefficient between 025 and 05 is considered to be a weak correlation between two variables. B variability of the Y scores at each X. The Correlation Coefficient R Introductory Business Statistics Cohens guide to association strength. . A If two variables are statistically independent of each other their correlation coefficient is zero. The correlation coefficients between the environment and the economy social and culture domains are rs0335 weak rs0427 low and rs0374 weak respectively. If for example the value of the correlation coefficient is 02 this would indicate a positive correlation between the two variables but its distance from the perfect positive correlation which is 1 indicates that the correlation is weak. A correlation coefficient close to -1 indicates a negative relationship between two variables with an increase in one of the variables being associated with a decrease in the...