A recreation operations planner has had data collected on automobile traffic at a selected location Y on an interstate highway in hopes that the information can be used to predict weekday demand for state: operated camposites 200 miles away. Random samples of 32 weekdays during the camping season resulted in data from which the following expression was developed:

Yc = 18 + 0.02X.

where X is the number of automobiles passing the location and Y is the number of camposites demanded that day. In addition, the unexplained variation is Σ( – c )2 Y Y = 1,470, and the total variation is

( )2 Σ Y – Y = 4,080. (a). What is the value of the coefficient of determination?

(b) Explain, in words; the meaning of the coefficient of determination.

(c) What is the value of the coefficient of correlation?

[Ans.

(a) 0.64

(b) It tells the percentage of variation in camposites demanded that is associated with automobile traffic at the selected site.

(c) 0.80.]