# Bootstrapping a Single Statistic (k=1) The following example…

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**Bootstrapping a Single Statistic (k=1)**

The following example generates the bootstrapped 95% confidence interval for R-squared in the linear regression of miles per gallon (mpg) on car weight (wt) and displacement (disp). The data source is mtcars. The bootstrapped confidence interval is based on 1000 replications.

# Bootstrap 95% CI for R-Squared library(boot) # function to obtain R-Squared from the data rsq = function(formula, data, indices) { d = data[indices,] # allows boot to select sample fit = lm(formula, data=d) return(summary(fit)$r.square) } # bootstrapping with 1000 replications results = boot(data=mtcars, statistic=rsq, R=1000, formula=mpg~wt+disp) # view results results plot(results) # get 95% confidence interval boot.ci(results, type="bca")

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