Finite Mathematics (11th Edition)
Finite Mathematics (11th Edition)
11th Edition
ISBN: 9780321979438
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
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Concept explainers

Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as p…
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Chapter 1, Problem 63RE

Poverty The following table gives the number (in thousands) of families under the poverty level in the United States in recent years Source: U.S. Census Bureau.

Year Families Below Poverty Level (in thousands)
2000 6400
2001 6813
2002 7229
2003 7607
2004 7835
2005 7657
2006 7668
2007 7623
2008 8147
2009 8792
2010 9400
2011 9497
2012 9520

(a) Find a linear equation for the number of families below poverty level (in thousands) in terms of t, the number of years since 2000, using the data for 2000 and 2012.

(b) Repeat part (a), using the data for 2004 and 2012.

(c) Find the equation of the least squares line using all the data. Then plot the data and the three lines from parts (a)-(c) on a graphing calculator.

(d) Discuss which of the three lines found in pans (a)-(c) best describes the data, as well as to what extent a linear model accurately describes the data.

(e) Calculate the correlation coefficient.

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Chapter 1 Solutions

Finite Mathematics (11th Edition)

Ch. 1.1 - Find the slope of each line. Through (4,5) and...Ch. 1.1 - Find the slope of each line. Through (5,-4) and...Ch. 1.1 - Find the slope of each line. Through (8,4) and (8,...Ch. 1.1 - Find the slope of each line. Through (1,5) and...Ch. 1.1 - Find the slope of each line. y = xCh. 1.1 - Find the slope of each line. y = 3x - 2Ch. 1.1 - Find the slope of each line. 5x - 9y = 11Ch. 1.1 - Find the slope of each line. 4x + 7y = 1Ch. 1.1 - Find the slope of each line. 9. x = 5Ch. 1.1 - Find the slope of each line. The x-axis
Ch. 1.1 - Find the slope of each line. y = 8Ch. 1.1 - Find the slope of each line. y = -6Ch. 1.1 - Find the slope of each line. A line parallel to 6x...Ch. 1.1 - Find the slope of each line. A line perpendicular...Ch. 1.1 - In Exercises 24, find an equation in...Ch. 1.1 - In Exercises 15-24, find an equation in...Ch. 1.1 - Prob. 17ECh. 1.1 - In Exercises 15-24, find an equation in...Ch. 1.1 - Prob. 19ECh. 1.1 - In Exercises 15-24, find an equation in...Ch. 1.1 - In Exercises 15-24, find an equation in...Ch. 1.1 - Prob. 22ECh. 1.1 - Prob. 23ECh. 1.1 - In Exercises 15- find an equation in...Ch. 1.1 - In Exercises 34, find an equation for each line in...Ch. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - Prob. 27ECh. 1.1 - Prob. 28ECh. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - Prob. 33ECh. 1.1 - Prob. 34ECh. 1.1 - Do the points (4,3), (2,0), and (-18,-12) lie on...Ch. 1.1 - Find k so that the line through (4, -1) and (k, 2)...Ch. 1.1 - Prob. 37ECh. 1.1 - Use slopes to show that the square with vertices...Ch. 1.1 - For the lines in Exercises and 40, which of the...Ch. 1.1 - Prob. 40ECh. 1.1 - Prob. 41ECh. 1.1 - In Exercises 41 and estimate the slope of the...Ch. 1.1 - Prob. 43ECh. 1.1 - Prob. 44ECh. 1.1 - Prob. 45ECh. 1.1 - Prob. 46ECh. 1.1 - Prob. 47ECh. 1.1 - Prob. 48ECh. 1.1 - Graph each equation. 2x - 3y = 12Ch. 1.1 - Prob. 50ECh. 1.1 - Prob. 51ECh. 1.1 - Prob. 52ECh. 1.1 - Prob. 53ECh. 1.1 - Prob. 54ECh. 1.1 - Prob. 55ECh. 1.1 - Graph each equation. y +8 = 0Ch. 1.1 - Prob. 57ECh. 1.1 - Prob. 58ECh. 1.1 - Prob. 59ECh. 1.1 - Graph each equation. 3x - 5y = 0Ch. 1.1 - Business and Economics Sales The sales of a small...Ch. 1.1 - Cost The total cost for a bakery to produce 100...Ch. 1.1 - Tuition The table lists the annual cost (in...Ch. 1.1 - Use of Cellular Telephones The following table...Ch. 1.1 - Consumer Price Index The Consumer Price Index...Ch. 1.1 - Life Sciences HIV Infection The time interval...Ch. 1.1 - Exercise Heart Rate To achieve the maximum benefit...Ch. 1.1 - Prob. 68ECh. 1.1 - Prob. 69ECh. 1.1 - Social Sciences Child Mortality Rate The mortality...Ch. 1.1 - Immigration In 1950, there were 249.187 immigrants...Ch. 1.1 - Marriage The following Table lists the U.S. median...Ch. 1.1 - Prob. 73ECh. 1.1 - Prob. 74ECh. 1.1 - Prob. 75ECh. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - /em>x and g(x)...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - Prob. 8ECh. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - Prob. 10ECh. 1.2 - In Exercises 14, decide whether the statement is...Ch. 1.2 - Prob. 12ECh. 1.2 - Prob. 13ECh. 1.2 - Prob. 14ECh. 1.2 - Prob. 15ECh. 1.2 - Prob. 16ECh. 1.2 - Prob. 17ECh. 1.2 - Prob. 18ECh. 1.2 - Prob. 19ECh. 1.2 - Prob. 20ECh. 1.2 - Prob. 21ECh. 1.2 - Prob. 22ECh. 1.2 - Assume that each situation can be expressed as a...Ch. 1.2 - Assume that each situation can be expressed as a...Ch. 1.2 - Assume that each situation can be expressed as a...Ch. 1.2 - Assume that each situation can be expressed as a...Ch. 1.2 - Business and Economics Supply and Demand Suppose...Ch. 1.2 - Prob. 28ECh. 1.2 - Supply and Demand Let the supply and demand...Ch. 1.2 - Prob. 30ECh. 1.2 - Prob. 31ECh. 1.2 - Prob. 32ECh. 1.2 - Break-Even Analysis Producing x units of tacos...Ch. 1.2 - Break-Even Analysis To produce x units of a...Ch. 1.2 - T-Shirt Cost Joanne Wendelken sells silk-screened...Ch. 1.2 - Prob. 36ECh. 1.2 - Marginal Cost of Coffee The manager of a...Ch. 1.2 - Marginal Cost of a New Plant In deciding whether...Ch. 1.2 - Prob. 39ECh. 1.2 - Prob. 40ECh. 1.2 - Prob. 41ECh. 1.2 - Prob. 42ECh. 1.2 - Prob. 43ECh. 1.2 - Prob. 44ECh. 1.2 - Prob. 45ECh. 1.2 - Prob. 46ECh. 1.2 - Prob. 47ECh. 1.2 - Prob. 48ECh. 1.2 - Temperature Find the temperature at which the...Ch. 1.2 - General Interest Education Cost A recent budget...Ch. 1.3 - Suppose a positive linear correlation is found...Ch. 1.3 - Given a set of points, the least squares line...Ch. 1.3 - Prob. 3ECh. 1.3 - Prob. 4ECh. 1.3 - The following problem is reprinted from the...Ch. 1.3 - The following problem is reprinted from the...Ch. 1.3 - Prob. 7ECh. 1.3 - Prob. 8ECh. 1.3 - The following problem is reprinted from the...Ch. 1.3 - Business and Economics Consumer Durable Goods The...Ch. 1.3 - Prob. 11ECh. 1.3 - Internet The percent of households with Internet...Ch. 1.3 - Landlines The percent of U.S. households with...Ch. 1.3 - Consumer Credit The total amount of consumer...Ch. 1.3 - Prob. 15ECh. 1.3 - Air Fares Using Expedia, a discount travel...Ch. 1.3 - Prob. 17ECh. 1.3 - Prob. 18ECh. 1.3 - Prob. 19ECh. 1.3 - Social Sciences Pupil-Teacher Ratios The following...Ch. 1.3 - Prob. 21ECh. 1.3 - Ideal Partner Height In an introductory statistics...Ch. 1.3 - Prob. 23ECh. 1.3 - Physical Sciences Length of a Pendulum Grandfather...Ch. 1.3 - Prob. 25ECh. 1.3 - General Interest Football The following data give...Ch. 1.3 - Prob. 27ECh. 1.3 - Prob. 28ECh. 1.3 - Running If you think a marathon is a long race,...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - Prob. 6EACh. 1 - Now look at the residuals as a fresh data set, and...Ch. 1 - Prob. 8EACh. 1 - Prob. 9EACh. 1 - Determine whether each statement is true or false,...Ch. 1 - Prob. 2RECh. 1 - Prob. 3RECh. 1 - Prob. 4RECh. 1 - Prob. 5RECh. 1 - Prob. 6RECh. 1 - Prob. 7RECh. 1 - Prob. 8RECh. 1 - Prob. 9RECh. 1 - Prob. 10RECh. 1 - Prob. 11RECh. 1 - Prob. 12RECh. 1 - PRACTICE AND EXPLORATIONS What is marginal cost?...Ch. 1 - Prob. 14RECh. 1 - Prob. 15RECh. 1 - Prob. 16RECh. 1 - Prob. 17RECh. 1 - Prob. 18RECh. 1 - Prob. 19RECh. 1 - Prob. 20RECh. 1 - Prob. 21RECh. 1 - Prob. 22RECh. 1 - Prob. 23RECh. 1 - Prob. 24RECh. 1 - Prob. 25RECh. 1 - Prob. 26RECh. 1 - Prob. 27RECh. 1 - Prob. 28RECh. 1 - Prob. 29RECh. 1 - Prob. 30RECh. 1 - Prob. 31RECh. 1 - Prob. 32RECh. 1 - Prob. 33RECh. 1 - Prob. 34RECh. 1 - Prob. 35RECh. 1 - Prob. 36RECh. 1 - Prob. 37RECh. 1 - Prob. 38RECh. 1 - Prob. 39RECh. 1 - Prob. 40RECh. 1 - Prob. 41RECh. 1 - Prob. 42RECh. 1 - Prob. 43RECh. 1 - Prob. 44RECh. 1 - Prob. 45RECh. 1 - Prob. 46RECh. 1 - Prob. 47RECh. 1 - Prob. 48RECh. 1 - Supply and Demand A company is manufacturing a new...Ch. 1 - Prob. 50RECh. 1 - Cost In Exercises 50-53, find a linear cost...Ch. 1 - Prob. 52RECh. 1 - Prob. 53RECh. 1 - Prob. 54RECh. 1 - Prob. 55RECh. 1 - Prob. 56RECh. 1 - Prob. 57RECh. 1 - Social Security The average monthly Social...Ch. 1 - Meat Consumption The U.S. per capita consumption...Ch. 1 - Prob. 60RECh. 1 - Blood Sugar and Cholesterol Levels The following...Ch. 1 - Prob. 62RECh. 1 - Poverty The following table gives the number (in...Ch. 1 - Prob. 64RECh. 1 - Prob. 65RE
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