Perhaps you are familiar with the famous Old Faithful geyser in Yellowstone National Park. Another Old Faithful geyser is located in Calistoga in California's Napa Valley. The following data represent the time (in minutes) between eruptions and the length of eruption for 9 randomly selected eruptions.

(a) A scatter diagram of the data is shown next. What type of relation appears to exist between time between eruptions and length of eruption?

(b) The residual plot in the next column was obtained after finding the least-squares regression line. Does the residual plot confirm that the relation between time between eruptions and length of eruption is linear?

(c) The coefficient of determination is 83.0%. Provide an interpretation of this value.

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Length of Eruption, y Length of Eruption, y Time Time between between Eruptions, r Eruptions, x 11.70 12.17 1.88 1.82 11.63 1.77 12.27 1.93 12.03 1.83 11.60 1.77 12.15 1.83 11.72 1.83 11.30 1.70 Time between Eruptions vs. Length of Eruption 1.95 1.90 1.85 - 1.80 1.75 1.70 11.2 11.4 11.6 11.8 12.0 12.2 12.4 Time Length