?1 RE Old Faithful? The table below lists measurements from eight different eruptions of the Old Faithful geyser in Yellowstone National Park. The data consist of the duration (sec) of the eruption, height (ft) of the eruption, time interval (min) before the eruption, and time interval (min) after the eruption. Shown below are Minitab results obtained by using the durations and interval-after times. a.? Determine whether there is sufficient evidence to support a claim of a linear correlation between 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 correlation between interval-after times and durations? c.? Letting ?y? represent interval-after time and letting ?x? represent duration time, identify the regression equation. d.? If an eruption has a duration of 200 sec, what is the best predicted value for the time interval after the eruption to the next eruption? Eruptions of the Old Faithful Geyser D u r a t i o n H e i g h t I n t e r v a l B e f o r e I n t e r v a l A f t e r
Solution 1 RE Step 1 : Given, In a Yellow stone park eight different eruptions of the old faithful geyser which consists of duration and height of the eruption, the time interval has been recorded before and after the eruption. The recorded data is given below 2 1 1 2 2 2 2 2 Dura 4 2 7 3 3 6 5 2 tion 0 0 8 4 5 9 5 0 Inter 1 9 6 7 9 8 9 8 val 0 2 5 2 4 3 4 7 After 1 Let us analyze the data and find out whether there is any linear association exists between the duration and the interval after the eruption. We have to analyze that whether there is any linear relation between duration and interval after the eruption.