Old Faithful geyser in Yellowstone National Park, Wyoming, derives its name from the regularity of its eruptions. The file oldfaithful contains measurements on eight successive days of the durations of the eruptions (in minutes) and the subsequent time interval before the next eruption. The park posts predicted eruption times for vistors. How well can the time until the next eruption be predicted by the duration of the current one?
a. Does the use of linear regression appear to be appropriate?
b. If the duration is 2 minutes, what would you predict the time until the next eruption to be? How can you quantify the accuracy of the prediction? Repeat this analysis for a duration of 4.5 minutes.
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