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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.
Type of Correlation 1. Positive and Negative Correlation: 2. Simple Partial and Multiple Correlations. 3. Linear and Non linear or Correlations
Read the following data on the economy of Angoia and answer/respond to the questions/instructions that follow. Unless otherwise stated, the monetary figures are in real billions o
Education seems to be a very difficult field in which to use quality methods. One possible outcome measures for colleges is the graduation rate (the percentage of the students matr
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
Systematic Random Sampling This method is generally used in such cases where a complete list of the population is available from which sample has to be selected. Under this
Show that when h = h* for the histogram, the contribution to AMISE of the IV and ISB terms is asymptotically in the ratio 2:1. Compare the sensitivity of the AMISE(ch) in Equa
why we use dummy variable
A study was designed to investigate the effects of two variables - (1) a student's level of mathematical anxiety and (2) teaching method - on a student's achievement in a mathemati
(i) Plot the step responses of the following second order systems and state the nature of each system. For each case, find the poles and plot the location of the poles in the compl
Range Official Exports Target 2000-2001 Product ($ million) Plantation 500 Agriculture and Alli
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