Which correlation coefficient has the strongest correlation?

The strongest correlation is indicated by the correlation coefficient with the highest absolute value. In this case, the value of 0.82 represents a strong positive correlation. A positive correlation indicates that as one variable increases, the other variable tends to increase as well, and the strength of that relationship is determined by how close the coefficient is to 1.

A correlation coefficient close to 1 signifies a very strong relationship, while values closer to 0 suggest a weak relationship. Although a value like -0.68 indicates a strong negative correlation, which demonstrates that as one variable increases, the other decreases, it does not compare favorably to the positive 0.82 in terms of strength when looking for the strongest correlation overall.

Thus, the choice with the highest absolute value, r=0.82, clearly demonstrates the strongest correlation among the options provided, highlighting a significant relationship between the two variables being assessed.