Solved: Old Faithful The table below lists measurements

Chapter 10, Problem 1

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Old Faithful The table below lists measurements from eight different eruptions of theOld Faithful geyser in Yellowstone National Park. The data consist of the duration (sec) ofthe eruption, height (ft) of the eruption, time interval (min) before the eruption, and timeinterval (min) after the eruption. Shown below are Minitab results obtained by using the durationsand interval-after times.a. Determine whether there is sufficient evidence to support a claim of a linear correlationbetween duration and interval-after time for eruptions of the Old Faithful geyser.b. What percentage of the variation in interval-after times can be explained by the linear correlationbetween interval-after times and durations?c. Letting y represent interval-after time and letting x represent duration time, identify theregression equation.d. If an eruption has a duration of 200 sec, what is the best predicted value for the time intervalafter the eruption to the next eruption? Eruptions of the Old Faithful GeyserDuration 240 120 178 234 235 269 255 220Height 140 110 125 120 140 120 125 150Interval Before 98 90 92 98 93 105 81 108Interval After 92 65 72 94 83 94 101 87