Also, the generalized partial correlation coefficient between X and Z after removing the nonlinear effect of Y to be 0.1581. See the R package `generalCorr' and its vignettes for details.
In the context of data analysis, the correlation between X and Z was discovered to be 0.1581 after accounting for Y's non-linear influence. For a deeper exploration of this connection, examine the R package `generalCorr' and its accompanying documentation.