If corr(x, y) = 0.70, then the coefficient of determination is ................... .
0.49
The coefficient of determination is the square of the correlation coefficient: r2. It shows the proportion of variation in y explained by x.
With r = 0.70, r2 = 0.70 x 0.70 = 0.49, that is, 49% of the variation is explained.
Being a square, it can never be negative, and it is smaller than r when r lies between 0 and 1.
Hence, the answer is 0.49.
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