Slope |
SE_{est} |
sd_{x} |
r |
1 |
10 |
10 |
.707 |
.5 |
5 |
10 |
.707 |
1 |
5 |
5 |
.707 |
The variance explained is equal to (slope^{2})(sd_{x}^{2})
The variance unexplained is equal to SE_{est}^{2}.
r^{2 }= explained/(explained + unexplained).
The simulations were developed as part of a grant from NSF to David Lane of Rice University. Partial support for this work was provided by the National Science Foundation's Division of Undergraduate Education through grant DUE 9751307. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.