In Exercise 3.85 on page 204, we find an interval estimate for the correlation between Distance (in miles) and Time
In Exercise 3.85 on page 204, we find an interval estimate for the correlation between Distance (in miles) and Time (in minutes) for Atlanta commuters, based on the sample of size n = 500 in CommuteAtlanta. The correlation in the original sample is r = 0.807. The file BootAtlanta- Corr contains 1000 values of bootstrap correlations produced from the original sample.
(a) Use technology and the bootstrap samples to estimate the standard error of sample correlations between Distance and Time for samples of 500 Atlanta commutes.
(b) Assuming that the bootstrap correlations can be modeled with a normal distribution, use the result of part (a) to find and interpret a 90% confidence interval for the correlation between distance and time of Atlanta commutes.
In addition to the commute time (in minutes), the CommuteAtlanta dataset gives the distance for the commutes (in miles) for 500 workers sampled from the Atlanta metropolitan area.
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