If sample data result in a linear coefficient of r=0.400, what proportion of the variation in y is explained by the linear relationship between x & y?
0.6325
0.3675
84%
16%
none of the above
The proportion of the variation that is explained is r2.
Therefore, in this case, since r = 0.400, r2 = 0.160, so the correct answer is 16%.