Old Faithful Eruptions u Reload Image As the eruption duration increases, what happens to the waiting time between eruptions? It decreases significantly It remains constant It increases No clear pattern Next Exit
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The x-axis represents the eruption duration in minutes, and the y-axis represents the waiting time between eruptions in minutes. Show more…
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Below is a table for eruptions of Old Faithful: The duration of the eruption and the time interval after the eruption before the next eruption. Duration: 242, 255, 227, 251, 262, 207, 140 Interval After: 81, 92, 102, 94 Perform correlation and regression analysis at a significance level of 0.05. What is the expected interval after when the duration is 245? Duration is the independent variable.
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1. The built-in data set faithful gives data on eruptions of the Old Faithful geyser in Yellowstone National Park. Each observation has a length of time the eruption lasted ( eruptions ) and the length of time until the next eruption ( waiting ), both in minutes. a. Find the equation of the regression line to explain waiting as a function of eruptions. b. Plot the data and the regression line. c. How long do you expect to wait after a 4.3 minute eruption?
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The most famous geyser in the world, Old Faithful in Yellowstone National Park, has a mean time between eruptions of 85 minutes. If the interval of time between eruptions is normally distributed with a standard deviation of 21.25 minutes, answer the following questions: a) What is the probability that a randomly selected time interval between eruptions is longer than 91 minutes? b) What is the probability that a random sample of 30 time intervals between eruptions has a mean longer than 91 minutes? c) On a certain day, suppose there are 22 time intervals for Old Faithful. Treating these 22 eruptions as a random sample, what is the likelihood that the mean length of time between eruptions exceeds _______ minutes is 0.30.
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