In this lesson, we will use a scatterplot and a regression line to solve the following problem. 

The Problem

The Table 1 below lists the estimated numbers in millions of airline passengers at some of the fastest growing airports in 1992 and 2005.   (Source: Federal Aviation Administration.)

Raleigh-Durham International had 4.9 million passengers in 1992.   Assuming Raleigh-Durham International follows the same trend in growth as the other airports reported in Table 1 below, estimate the number of passengers it may have in 2005.  Compare this result with the Federal Aviation Administration estimation of 10.3 million passengers.

 

   TABLE 1        Airline Passengers (in millions)
AIRPORT
1992 2005
Harrisburg International 0.7 1.4
Dayton International 1.1 2.4
Austin Robert Mueller 2.2 4.7
Milwaukee General Mitchell 2.2 4.4
Sacramento Metropolitan 2.6 5.0
Fort Lauderdale-Hollywood 4.1 8.1
Washington Dulles 5.3 10.9
Greater Cinninnati 5.8 12.3

In order to solve this problem, we will:

a). Make a scatterplot of the data using the 1992 data for X-values and the corresponding 2005 data for Y-values. Predict whether the correlation coefficient will be positive or negative.

b). Find the least-squares regression line.

Then the results will be used to make the estimate of the number of passengers in 2005 for the Raleigh-Durham International Airport.



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