# 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.

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.

## Answer to relevant Questions

a. Verify, algebraically, that formula (3.2) for calculating r is equivalent to the definition formula (3.1). b. Verify, algebraically, that formula (3.6) is equivalent to formula (3.5). Does studying for an exam pay off? a. Draw a scatter diagram of the number of hours studied, x, compared with the exam grade received, y. b. Explain what you can conclude based on the pattern of data shown on the scatter ...A sample of 15 upper-class students who commute to classes was selected at registration. They were asked to estimate the distance (x) and the time (y) required to commute each day to class (see the following table). a. Do ...Cell phones and iPods are necessities for the current generation. Does the use of one indicate the use of the other? Seven junior high students who own both a cell phone and an iPod were randomly selected, resulting in the ...Movie production companies spend millions of dollars to produce movies, with the great hope of attracting millions of people to the theater.The success of a movie can be measured in many ways, two of which are box office ...Post your question

0