The data set on roller coasters from Ch 6 lists the duration

The data set on roller coasters from Ch. 6 lists the durations of a ride in seconds in addition to the drop height in feet. One coaster (The Tower of Terror) is unusual for having a large drop but a short ride. After setting it aside, a regression to predict Duration from drop for the remaining 85 coasters has R² = 32%

a) What are the variables and units in this regression?

b) What units does the slope have?

c) Do you think the slope is positive or negative? Explain.

Solution

a)

The variables are ride duration (in seconds) and drop height (in feet).

b)

unit of slope = unit of y (drop height) / unit of x (ride duration)

Thus,

unit of slope = ft/s [ANSWER]

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C)

I think the slope will be positive as the time it would take to traverse a larger distance is a larger time. Thus, the slope must be positive.