Discussion
If corr(x, y) = 0.70, then the coefficient of determination is ................... .
Answer: C
The coefficient of determination is 0.49.
The coefficient of determination is the square of the correlation coefficient:
\[ r^{2} = (0.70)^{2} = 0.49 \]
It means 49% of the variation in y is explained by its linear relationship with x.
0.70 is r itself, 0.35 halves r instead of squaring it, and -0.70 is impossible because a square cannot be negative; the coefficient of determination always lies between 0 and 1.
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