Discussion
Correlation coefficient between X and Y is 0.3 and correlation coefficient between P and Q is 0.6, then the strength of correlation between P and Q is higher than between X and Y by
Answer: C
The strength of correlation is measured by the coefficient of determination, the square of the correlation coefficient, and not by the coefficient itself. For X and Y the value is 0.3 squared, which is 0.09, and for P and Q it is 0.6 squared, which is 0.36. The ratio is 0.36 divided by 0.09, which is 4, so the strength of correlation between P and Q is four times that between X and Y, option C. The answer two times comes from comparing 0.6 with 0.3 directly, which treats the coefficient as a linear measure and is wrong. Three and five times have no basis.
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