The bookDay Hikes in San Luis Obispo Countyby Robert Stone gives information on 72 different hikes that one can take in the county. For each of the 72 hikes, Stone reports the distance of the hike (in miles), the anticipated hiking time (in minutes), the elevation gain (in feet), and the region of the county in which the hike can be found (North County, South County, Morro Bay, and so on, for a total of eight regions).

(a)What are the observational units here?

(b)How many variables are there?

(c)Classify each variable as quantitative or categorical.

(d)If you create a new variable that is the ratio of hiking time to hiking distance, would that be a quantitative or categorical variable?

(e)If you create a new variable calledlength of hikethat is coded as "short" for a hike whose distance is less than 2 miles, "medium" for a hike whose distance is at least 2 but not more than 4 miles, and "long" for a hike whose distance is at least 4 miles, would this be a quantitative or categorical variable?

(f)For each of the following, specify whether or not it is a legitimate variable for the observational units you specified in (a):

• Longest hike in the book
• Average elevation gain of the hikes in the book
• Whether or not the hike is in the Morro Bay region
• Proportion of hikes with an elevation gain of more than 500 feet
• Anticipated hiking time, reported in hours