The heights, lengths, and maximum speeds of 11 randomly selected U.S. wooden roller coasters are shown in Table 67 on page 419. Let S be a roller coaster’s maximum speed (in mph), and let L be the roller coaster’s length (in ft).
a. Compare the values of S with the values of L by constructing a scatterplot by hand. Assume S is the explanatory variable.
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 length of a wooden roller coaster with maximum speed 60 mph.