4th Edition

ISBN: 9780135874738

Author: Sullivan

Publisher: PEARSON

Concept explainers

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of tw…

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency o…

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…

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Textbook Question

Chapter 4.9, Problem 9AYU

Cell Phone Towers The following data represents the number of cell sites in service in the United States from $1985$ to $2015$ at the end of each year.

$Year Cell Sites (thousands) 1985 ( x = 1 ) 0.9 1986 ( x = 2 ) 1.5 1987 ( x = 3 ) 2.3 1988 ( x = 4 ) 3.2 1989 ( x = 5 ) 4.2 1990 ( x = 6 ) 5.6 1991 ( x = 7 ) 7.8 1992 ( x = 8 ) 10.3 1993 ( x = 9 ) 12.8 1994 ( x = 10 ) 17.9 1995 ( x = 11 ) 22.7 1996 ( x = 12 ) 30.0 1997 ( x = 13 ) 51.6 1998 ( x = 14 ) 65.9 1999 ( x = 15 ) 81.7 2000 ( x = 16 ) 104.3 Year Cell Sites (thousands) 2001 ( x = 17 ) 127.5 2002 ( x = 18 ) 139.3 2003 ( x = 19 ) 163.0 2004 ( x = 20 ) 175.7 2005 ( x = 21 ) 183.7 2006 ( x = 22 ) 195.6 2007 ( x = 23 ) 213.3 2008 ( x = 24 ) 242.1 2009 ( x = 25 ) 247.1 2010 ( x = 26 ) 253.1 2011 ( x = 27 ) 283.4 2012 ( x = 28 ) 301.8 2013 ( x = 29 ) 304.4 2014 ( x = 30 ) 298.1 2015 ( x = 31 ) 307.6$

Using a graphing utility, draw a scatter diagram of the data using $1$ for $1985$ , $2$ for $1986$ , and so on as the independent variable and the number of cell sites as the dependent variable.
Using a graphing utility, build a logistic model from the data.
Graph the logistic function found in part (b) on the scatter diagram.
What is the predicted carrying capacity for cell sites in the United States?
Use the model to predict the number of cell sites in the United States at the end of $2022$ .

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Chapter 4.9, Problem 8AYU

Chapter 4.9, Problem 10AYU

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Chapter 4 Solutions

PRECALCULUS:CONCEPTS...-MYLAB+ETEXT

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Solution Summary: The author explains the scatter diagram for the given data assuming 1 for 1985, 2, and so on as the independent variable.

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