Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
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Chapter 4.8, Problem 18E

(a)

To determine

To find:quadratic polynomial function that models the data.

(a)

Expert Solution
Check Mark

Answer to Problem 18E

  f(x)=1.99x21.74x+2.76

Explanation of Solution

Given information: Consider the set of data.

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 4.8, Problem 18E , additional homework tip  1

Calculation:

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 4.8, Problem 18E , additional homework tip  2

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 4.8, Problem 18E , additional homework tip  3

So, the required quadratic function is: f(x)=1.99x21.74x+2.76 .

(b)

To determine

To find:cubic polynomial function that models the data.

(b)

Expert Solution
Check Mark

Answer to Problem 18E

  f(x)=0.96x3+0.56x2+0.36x+4.05

Explanation of Solution

Given information: Consider the set of data.

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 4.8, Problem 18E , additional homework tip  4

Calculation:

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 4.8, Problem 18E , additional homework tip  5

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 4.8, Problem 18E , additional homework tip  6

The required cubic function is as follows:

  f(x)=0.96x3+0.56x2+0.36x+4.05

(c)

To determine

To find:model which is more appropriate.

(c)

Expert Solution
Check Mark

Answer to Problem 18E

Cubic is more appropriate

Explanation of Solution

Given information: Consider the set of data.

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 4.8, Problem 18E , additional homework tip  7

Calculation:

Although calculator didn’t display it on the previous examples,

The value of r2 is closer to 1 on the cubic regression.

This means the cubic is a closer fit.

Chapter 4 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 4.1 - Prob. 11CFUCh. 4.1 - Prob. 12CFUCh. 4.1 - Prob. 13CFUCh. 4.1 - Prob. 14CFUCh. 4.1 - Prob. 15ECh. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - Prob. 19ECh. 4.1 - Prob. 20ECh. 4.1 - Prob. 21ECh. 4.1 - Prob. 22ECh. 4.1 - Prob. 23ECh. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - Prob. 26ECh. 4.1 - Prob. 27ECh. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - Prob. 30ECh. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - Prob. 34ECh. 4.1 - Prob. 35ECh. 4.1 - Prob. 36ECh. 4.1 - Prob. 37ECh. 4.1 - Prob. 38ECh. 4.1 - Prob. 39ECh. 4.1 - Prob. 40ECh. 4.1 - Prob. 41ECh. 4.1 - Prob. 42ECh. 4.1 - Prob. 43ECh. 4.1 - Prob. 44ECh. 4.1 - Prob. 45ECh. 4.1 - Prob. 46ECh. 4.1 - Prob. 47ECh. 4.1 - Prob. 48ECh. 4.1 - Prob. 49ECh. 4.1 - Prob. 50ECh. 4.1 - Prob. 51ECh. 4.1 - Prob. 52ECh. 4.1 - Prob. 53ECh. 4.1 - Prob. 54ECh. 4.1 - Prob. 55ECh. 4.1 - Prob. 56ECh. 4.1 - Prob. 57ECh. 4.1 - Prob. 58ECh. 4.1 - Prob. 59ECh. 4.1 - Prob. 60ECh. 4.1 - Prob. 61ECh. 4.1 - Prob. 62ECh. 4.1 - 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Prob. 32SGACh. 4 - Prob. 33SGACh. 4 - Prob. 34SGACh. 4 - Prob. 35SGACh. 4 - Prob. 36SGACh. 4 - Prob. 37SGACh. 4 - Prob. 38SGACh. 4 - Prob. 39SGACh. 4 - Prob. 40SGACh. 4 - Prob. 41SGACh. 4 - Prob. 42SGACh. 4 - Prob. 43SGACh. 4 - Prob. 44SGACh. 4 - Prob. 45SGACh. 4 - Prob. 46SGACh. 4 - Prob. 47SGACh. 4 - Prob. 48SGACh. 4 - Prob. 49SGACh. 4 - Prob. 50SGACh. 4 - Prob. 51SGACh. 4 - Prob. 52SGACh. 4 - Prob. 53SGACh. 4 - Prob. 54SGACh. 4 - Prob. 55SGACh. 4 - Prob. 56SGACh. 4 - Prob. 57SGACh. 4 - Prob. 58SGACh. 4 - Prob. 59SGACh. 4 - Prob. 1SAPCh. 4 - Prob. 2SAPCh. 4 - Prob. 3SAPCh. 4 - Prob. 4SAPCh. 4 - Prob. 5SAPCh. 4 - Prob. 6SAPCh. 4 - Prob. 7SAPCh. 4 - Prob. 8SAPCh. 4 - Prob. 9SAPCh. 4 - Prob. 10SAP

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