Correlation Problems Old Faithful Geyser Problem 1 Duration of Eruption vs. Time Interval after Eruption

Correlation Problems

Old Faithful Geyser Problem 1
Duration of Eruption vs. Time Interval after Eruption
Assignment ID# C1
EXCEL

The Old Faithful geyser is the most popular attraction in Yellowstone National Park. When Old Faithful erupts, measurements are taken so as to collect data about the duration of eruptions, the interval before an eruption, the time interval after an eruption and the height of the eruption. This data provides essential information to the park rangers so that they can attend to the needs and the safety of the millions of tourist who visit Yellowstone National Park every year.

Table 5.1 shows those measurements taken from a sample of population data that has been recorded over the years.

Eruption		1	2	3	4	5	6	7	8
Duration of Eruption	Seconds	240	120	178	234	235	269	225	220
Interval Before an Eruption	Minutes	98	90	92	98	93	105	81	108
Interval After an Eruption	Minutes	92	65	72	94	83	94	101	87
Height of Eruption	Feet	140	110	125	120	140	120	125	130

Table 5.1 Old Faithful Eruptions

Find the value of the linear correlation coefficient r for the Duration of Eruption time vs. The time Interval after the Eruption for the 8 recorded eruptions. Use the critical value of alpha = .05. to test the significance of your calculation. See Table 5.1 for the data.

Title your paper
State the Problem
State the Hypotheses
Derive and show a Scatterplot of the data with appropriate captions
Use your statistical program (EXCEL) to display the complete analysis that shows the correlation coefficient along with the rest of the descriptive results.
Determine if the correlation is significant or no
If appropriate calculate the coefficient of determination (see note below)
Explain your results
Write a brief conclusion