The heights, lengths, and maximum speeds of 11 randomly selected U.S. wooden roller coasters are shown in Table 67.

Let H be a roller coaster€™s height (in feet), and let S be the roller coaster€™s maximum speed (in mph).
a. Compare the heights and maximum speeds of the roller coasters by constructing a scatterplot by hand.
b. Describe the four characteristics of the association. Compute and interpret r as part of your analysis.
c. Draw a linear model on your scatterplot.
d. Use the model to predict the maximum speed of a 40-foot- tall wooden roller coaster.

Transcribed Image Text:

Table 67 Heights, Lengths, and Maximum Speeds of Wooden Roller Coasters Height Length Maximum (feet feet) Speed (mph) Name 36 1382 991 877 Ghost Rider Grizzly Terminator Salvatiorn Ride of Prey Cornball Express Voyage Judge Roy Scream Texas Giant American Eagle Viper Son of Beast 23 17 50 50 45 814 1500 1417 1054 2143 50 79 30