Erruptions at Old Faithful Geyser

1348 Words May 17th, 2014 6 Pages

1.0 Literature Review
A geyser refers to a hot spring that occasionally due geographical processes and difference in pressure erupts hot water and steam in the air. The Old Faithful Geyser at Yellowstone National Park , Wyoming is one of the most famous geyser in the world. Given the fame of this geyser, it receives visitors from various parts of the world. For convenience of time, the national park service have erected some sign at the site to try help visitors predict the time for the occurrence of the next eruption.
The Old Faithful Geyser is not the biggest or most regular geyser in Yellowstone but it is the biggest regular geyser. It has been erupting in the same fashion throughout the
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The interval for the next eruption is based on the total duration of the current eruption.

1.2 Research Question
From previous studies there are misguided interpretations on the eruption duration and how it affects the waiting time. From mere observations we can conclude that Old Faithful has a pattern which follows a fixed set of time. The research questions that arises is;
Does the eruption and waiting time of the Old Faithful geyser follow a fixed set of time or is there a variation in the waiting time with respect to the eruption time?

1.3 Research Methodology
Data collection and sources; the data used in this study comes from Azzalin and Bowman(1990). It includes a data frame with 272 observations on 2 variables that is eruption time and waiting time. The data is heavily rounded times originally in seconds.
Of the variables the waiting time has been used as the response variable while eruption time appears as the predictor variable. These means that waiting time is seen to be determined by the time an eruption takes. So we expect that the longer the eruption period, the longer the waiting period.
This paper wishes to study the test that, under the null hypothesis, there is no variation in the waiting time. theassumptions under this hypothesis is that the interval time between one eruption to the next is fixed and do not occur by chance.
This paper shall use the