The correlation coefficient (r) between the number of volunteers x and number of bags of trash collected y is 0.654.

What percent of the variation in the number of bags of trash collected can be explained by differences in the number of volunteers?

A. 34.6%
B. 42.8%
C. 57.2%
D. 65.4%

Question

The correlation coefficient (r) between the number of volunteers x and number of bags of trash collected y is 0.654.

What percent of the variation in the number of bags of trash collected can be explained by differences in the number of volunteers?

A. 34.6%
B. 42.8%
C. 57.2%
D. 65.4%

mhchen · Answer

The percent of variation in context is r^2

Basically, take the correlation coefficient, 0.654, and square that.

You should get around 0.428