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Suppose that a 95% confidence interval for the slope of a regression line based on a sample of size n = 100 and the percentiles of the slopes for 1,000 bootstrap samples goes from 2.50 to 2.80. For each change described (with all else staying the same), indicate which of the three confidence intervals would be the most likely result.
-Increase the number of bootstrap samples to 5,000
A) 2.53 to 2.77 (narrower)
B) 2.50 to 2.80 (the same)
C) 2.46 to 2.84 (wider)

Question

Use the following 
Suppose that a 95% confidence interval for the slope of a regression line based on a sample of size n = 100 and the percentiles of the slopes for 1,000 bootstrap samples goes from 2.50 to 2.80. For each change described (with all else staying the same), indicate which of the three confidence intervals would be the most likely result.
-Increase the number of bootstrap samples to 5,000
A) 2.53 to 2.77 (narrower)
B) 2.50 to 2.80 (the same)
C) 2.46 to 2.84 (wider)

Quizplus · Accepted Answer

Increasing the number of bootstrap samples will make the confidence interval more precise, which means it will be narrower.

Use the Following