Below you will find descriptions and details for the 2 formulas that are used to compute the confidence interval for an R-square value.

R^{2} confidence interval:

Variable definitions: R^{2} = squared multiple correlation α = desired confidence interval percentage SE_{R2} = standard error for R^{2} t = a t-value k = number of predictors in the model n = total sample size

R^{2} standard error:

Variable definitions: R^{2} = squared multiple correlation k = number of predictors in the model n = total sample size