In a study, the correlation coefficient (r) between height and weight of children is found to be +0.82. What percentage of variance in weight is explained by height?

• A 82%
• B 18%
• C 90.7%
• D 67.2% ✓

Explanation

The coefficient of determination (r²) gives the proportion of variance in one variable explained by the other. r² = 0.82² = 0.6724, i.e., approximately 67.2%. The r value itself (82%) is not directly the proportion of variance. Options C and D do not correspond to r² for r = 0.82.

Reference: Park's Textbook of Preventive and Social Medicine, 27th ed.

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