Refer to Data Set 16 in Appendix B.
a. Use the paired data for durations and intervals after eruptions of the Old Faithful geyser. Is there a significant linear correlation, suggesting that the interval after an eruption is related to the duration of the eruption?
b. Use the paired data for intervals after eruptions and heights of eruptions of the Old Faithful geyser. Is there a significant linear correlation, suggesting that the interval after an eruption is related to the height of the eruption?
c. Assume you want to develop a method for predicting the time interval to the next eruption. Based on the results from parts (a) and (b), which factor would be more relevant: eruption duration or eruption height? Why?