Yellowstone National Parks Old Faithful has been a major tourist attraction for a long time. Understanding the

Question:

Yellowstone National Park€™s Old Faithful has been a major tourist attraction for a long time. Understanding the duration of eruptions and the time between eruptions is necessary to predict the timing of the next eruption. The Old Faithful dataset variables are as follows: date: an index of the date the observation was taken; duration: the duration of an eruption of the geyser, in minutes; and interruption: the time until the next eruption, in minutes.

a. Construct a scatter diagram of the 39 durations, x, and interruption, y. Use a different symbol to represent the ordered pairs for each day.
b. Describe the pattern displayed by all 39 ordered pairs.
c. Do the data for the individual days show the same pattern as one another and as the total dataset?
d. Based on information in the scatter diagram, if Old Faithful€™s last eruption lasted 4 minutes, how long would you predict we will need to wait until the next eruption starts?
e. Find the line of best fit for the data listed in the table.
f. Based on the line of best fit, if Old Faithful€™s last eruption lasted 4 minutes, how long would you predict we will need to wait until the next eruption starts?
g. What effect do you think the distinctive pattern shown on the scatter diagram has on the line of best fit? Explain.