Chapter 8, Problem 16E

(a)

To determine

To explain what are the variables and units in this regression.

Answer to Problem 16E

Length of initial drop in feet and duration of ride in seconds.

Explanation of Solution

It is given in the question that, people who responded to a discovery channel poll named the ten best roller coasters in the United States. In previous exercise it shows the length of the initial drop and the duration of the ride. A regression to predict duration from drop has $R^2=12.4\%$ .

Thus, the variables of this context are length of initial drop in feet and duration of ride in seconds.

(b)

To determine

To explain what units does the slope have.

Answer to Problem 16E

Feet per second.

Explanation of Solution

It is given in the question that, people who responded to a discovery channel poll named the ten best roller coasters in the United States. In previous exercise it shows the length of the initial drop and the duration of the ride. A regression to predict duration from drop has $R^2=12.4\%$ . Thus, the slope units will be in feet per second that is because the slope is length of initial drop by duration of the ride.

(c)

To determine

To explain do you think the slope would be positive or negative.

Answer to Problem 16E

The slope would be positive.

Explanation of Solution

It is given in the question that, people who responded to a discovery channel poll named the ten best roller coasters in the United States. In previous exercise it shows the length of the initial drop and the duration of the ride. A regression to predict duration from drop has $R^2=12.4\%$ . Thus, we can say that the slope of this regression will be positive because as length of drop increases, the duration of the ride was also increase.