# Air Travel: International The following table shows total international travel on U.S. air carriers in specified months from January 2006 to July 2008 ( ( t = 0 ) representsJanuary 2006): t 0 3 6 9 12 15 18 21 24 27 30 Revenue Passenger Miles (billions) 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 β fora cosine model. b. Find the best-fit 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.]

### Applied Calculus

7th Edition
Waner + 1 other
Publisher: Cengage Learning,
ISBN: 9781337291248

Chapter
Section

### Applied Calculus

7th Edition
Waner + 1 other
Publisher: Cengage Learning,
ISBN: 9781337291248
Chapter 9.1, Problem 58E
Textbook Problem
1 views

## Air Travel: International The following table shows total international travel on U.S. air carriers in specified months from January 2006 to July 2008 ( ( t = 0 ) representsJanuary 2006): t 0 3 6 9 12 15 18 21 24 27 30 Revenue Passenger Miles (billions) 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 β fora cosine model.b. Find the best-fit 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 determine

To graph: The data from the table that shows total domestic air travel on U.S. air carries in specified months from January 2006 to July 2008 and (t=0) represents January 2006 using the TI-83 graphing calculator and also roughly estimate the period P and the parameters C, A and β for a cosine model.

 t 0 3 6 9 12 15 18 21 24 27 30 Revenue Passenger Miles (billions) 18 19 23 19 19 20 24 20 25 20 25

### Explanation of Solution

Given Information:

The total domestic air travel on U.S. air carries in specified months from January 2006 to July 2008 and (t=0) represents January 2006.

 t 0 3 6 9 12 15 18 21 24 27 30 Revenue Passenger Miles (billions) 18 19 23 19 19 20 24 20 25 20 25

Graph:

Consider the provided table:

 t 0 3 6 9 12 15 18 21 24 27 30 Revenue Passenger Miles (billions) 18 19 23 19 19 20 24 20 25 20 25

Graph of the table data using the Ti-83 graphing calculator as follows:

Step 1: Press “STAT” option and press 1

(b)

To determine

To calculate: The best-fit cosine curve approximating the data of the table that shows total domestic air travel on U.S. air carries in specified months from January 2006 to July 2008 and (t=0) represents January 2006 and also sketch the graph with the regression curve.

 t 0 3 6 9 12 15 18 21 24 27 30 Revenue Passenger Miles (billions) 18 19 23 19 19 20 24 20 25 20 25

(c)

To determine

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”.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
In Exercises 7-10, solve the equation. x2+8x20=0

Calculus: An Applied Approach (MindTap Course List)

In Exercises 23-36, find the domain of the function. 27. f(x)=x2+1

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

The directrix of the conic given by r=62+10sin is: a) x=53 b) x=35 c) y=53 d) y=35

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Describe the major elements of the introduction for an empirical research report.

Research Methods for the Behavioral Sciences (MindTap Course List)

Gliding Pigeon This is a continuation of Exercise 18. For a pigeon that is gliding, one model of sinking speed ...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

Explain how the enforcement of confidentiality benefits both the participants and the researcher.

Research Methods for the Behavioral Sciences (MindTap Course List)

Simplify: a24aa2a12(a4,3).

College Algebra (MindTap Course List)