Air Travel: International The following table shows total international travel on U.S. air carriers in specified months from January 2006 to July 2008 (

0  3  6  9  12  15  18  21  24  27  30 

18  19  23  19  19  20  24  20  25  20  25 
a. Plot the data, and roughly estimate the period P and the parameters C, A, and
b. Find the bestfit cosine curve approximating the given data. [You may have to use your estimates from part (a) as initial guesses if you are using Solver.] Plot the given data together with the regression curve. (Round coefficients to three decimal places.)
c. Complete the following: Based on the regression model, international travel on U.S. air carriers showed a pattern that repeats itself every ___ months, from a low of ___ to a high of ___ billion revenue passenger miles. (Round answers to the nearest whole number.) [HINT: See Example 5.]
(a)
To graph: The data from the table that shows total domestic air travel on U.S. air carries in specified months from January
t  
Revenue Passenger Miles (billions) 
Given Information:
The total domestic air travel on U.S. air carries in specified months from January
t  
Revenue Passenger Miles (billions) 
Graph:
Consider the provided table:
t  
Revenue Passenger Miles (billions) 
Graph of the table data using the
Step 1: Press “STAT” option and press
(b)
To calculate: The bestfit cosine curve approximating the data of the table that shows total domestic air travel on U.S. air carries in specified months from January
t  
Revenue Passenger Miles (billions) 
(c)
To fill: The blanks in the statement “Based on the regression model, international travel on U.S. air carriers showed a pattern that repeat itself every __________ months, from a low of _______ to a high of __________ billion revenue passengers”.
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