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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.
#There were three types of food, and the researcher recorded which foods were bought. Peanut Butter Banana Hamburger 15
PCA is a linear transformation that transforms the data to a new coordinate system such that the greatest variance by any projection of the data comes to lie on the first coordinat
Suppose that in the actual survey of 50 prospective customers, 6 subscribe to the 3 for all offer, what does this tell you about the previous estimate of the proportion of customer
Question Following the general methodology used by econometricians as explained in the session for week 1 (eight steps), explain how you would proceed to determine if a good com
In the context of multivariate data analysis, one might be faced with a large number of v&iables that are correlated with each other, eventually acting as proxy of each other. This
Your organization purchases bottles of a popular commercial solvent for resale. Each bottle is labeled as containing 32 fluid ounces of the solvent. Your cont
In the case of permanent magnet DC motor whose stator consists of a permanent magnet we can take the field current to be constant (i.e. a constant magnetic field) and it can be sho
I need help
You were recently hired by E&T Boats, Inc. to assist the company with its financial planning and to evaluate the company's performance. E&T Boats, Inc. builds and sells boats to o
The following dataset is from a study of the effects of second hand smoking in Baltimore, MD, and Washington, DC. For the 25 children involved in this study the outcome variable is
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