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Old Faithful Geyser in Yellowstone National Park derives its names and fame from the regularity (and beauty) of its eruptions. Rangers usually post the predicted times of eruptions for visitors. R. A. Hutchinson, a park geologist, collected measurements of the eruption durations (in minutes) and the subsequent time intervals before the next eruption (in minutes) over an 8-day period. Help rangers use the data to explain the relationship between duration and subsequent time to the next eruption. Then, help them use that relationship to predict when next eruptions will occur. Provide the ranger with an estimate of the mean length of time until the next eruption after one lasting for 4 minutes. Also, provide the ranger with a prediction of how many minutes visitors will have to wait after a future eruption lasting 4 minutes. Be sure to give the rangers appropriate uncertainty intervals to go with estimates and/or predictions. Also, provide the rangers with a plot. Hints:
1. You can ignore \DATE" for the purpose of doing the analysis, but I expect you to discuss it when you are checking assumptions within the Statistical Procedures Used section. What plot could you make to help assess independence?
2. You will really have three different summary statements to make in your Summary of Statistical Findings. One describing the relationship (and evidence for there being a relationship), one describing estimation of a mean, and one describing a prediction.
3. Use the Big Bang Case Study for example R-code.
For each of the following scenarios, explain how graph theory could be used to model the problem described and what a solution to the problem corresponds to in your graph model.
Bernoulli's Theorem If a trial of an experiment can result in success with probability p and failure with probability q (i.e.1-p) the probability of exactly r success in n tri
The box plot displays the diversity of data for the totexp; the data ranges from 30 being the minimum value and 390 being the maximum value. The box plot is positively skewed at 1.
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Agency revenues. An economic consultant was retained by a large employment agency in a metropolitan area to develop a regression model for predicting monthly agency revenues ( y ).
Sampling Error It is the difference between the value of the actual population parameter and the sample statistic. Samples are used to arrive at conclusions regarding the p
Other Measures of Dispersion In this section, we look at relatively less used measures of dispersion like fractiles, deciles, percentiles, quartiles, interquartile range and f
get a questionnaire that captured age at first marriage
Jocko's Garage has been accused of insurance fraud. Data on estimates made by Jocko and another garage were obtained for 10 damaged vehicles (available in 'jockogarage.txt'). Here
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