The data in CommuteAtlanta contains information on both the Distance (in miles) and Time (in minutes) for a sample of 500 Atlanta commutes. We expect the correlation between these two variables to be positive, since longer distances tend to take more time.
(a) Find the correlation between Distance and Time
for the original sample of 500 Atlanta commutes.
(b) The file BootAtlantaCorr contains the correlations of Distance vs Time for 1000 bootstrap samples using the Atlanta commuting data, or use StatKey or other technology to create your own bootstrap distribution. Create a plot and describe the shape and center of the bootstrap distribution of these correlations.
(c) Use the statistics in the bootstrap distribution to estimate the margin of error and create an interval estimate for the correlation between distance and time of Atlanta commutes.
(d) Mark where the interval estimate lies on your plot in part (b).