For 40 eruptions of the Old Faithful Geyser in Yellowstone National Park, duration times (sec) were recorded along with the time intervals (min)…

For 40 eruptions of the Old Faithful Geyser in Yellowstone National Park, duration times (sec) were recorded along with the time intervals (min) after the eruptions. The linear correlation coefficient is r=.687 and the regression equation is y^ = 47.4 + .180x, where x represents duration time. The mean of the 40 duration times is 245.0 sec and the mean of the 40 interval times is 91.4 min. What is the best predicted interval time following an eruption with a duration time of 120 min?

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