I received the following question via email:

"With great interest I have read your recent article "Resting-state networks predict individual differences in common and specific aspects of executive function". However, I could find neither regression parameters nor correlation parameters for [associations reported in the Figure 4]."

My response:

Here are the partial correlations (controlling for movement) as output from R's ppcor package:

> pcor.test(CommonEF, IC5pe, c(translation, rotation))
   estimate      p.value statistic   n gp  Method
  0.5080608 2.978166e-15  7.891818 182  1 pearson

> pcor.test(CommonEF, IC14pe1, c(translation, rotation))
   estimate      p.value statistic   n gp  Method
  0.4991584 1.287089e-14    7.7071 182  1 pearson

> pcor.test(CommonEF, IC14pe2, c(translation, rotation))
   estimate      p.value statistic   n gp  Method
  0.4570503 6.198474e-12  6.875012 182  1 pearson

> pcor.test(Shifting, IC11pe, c(translation, rotation))
   estimate      p.value statistic   n gp  Method
  0.5398944 9.367687e-18   8.58146 182  1 pearson