Finite Mathematics
Finite Mathematics
7th Edition
ISBN: 9781337280426
Author: Stefan Waner, Steven Costenoble
Publisher: Cengage Learning
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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 1.2, Problem 54E

Demand for Mobile Data The following table shows the worldwide demand for mobile smartphone data in terms of its price per megabyte (MB):38

Price p ($/MB) 0.01 0.03 0.06 0.10 0.20 0.46
Demand q (MB/smartphone user) 4,000 1,000 700 500 300 150

Which of the following kinds of models would best fit the given data? Explain your choice of model. (A, a, b, and c are constants.)

(A) q = A b b         ( b > 1 )

(B) q = A b b         ( b < 1 )

(C) q = a p 2 + b p + c       ( a > 0 )

(D) q = a p 2 + b p + c     ( a < 0 )

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Chapter 1 Solutions

Finite Mathematics

Ch. 1.1 - In Exercises 1-4, evaluate each expression based...Ch. 1.1 - In Exercises 1-4, evaluate each expression based...Ch. 1.1 - In Exercises 1-4, evaluate each expression based...Ch. 1.1 - In Exercises 1-4, evaluate each expression based...Ch. 1.1 - In Exercises 5-8, use the graph of the function f...Ch. 1.1 - In Exercises 5-8, use the graph of the function f...Ch. 1.1 - In Exercises 5-8, use the graph of the function f...Ch. 1.1 - In Exercises 5-8, use the graph of the function f...Ch. 1.1 - In Exercises 9-12, say whether or not f(x) is...Ch. 1.1 - In Exercises 9-12, say whether or not f(x) is...
Ch. 1.1 - In Exercises 9-12, say whether or not f(x) is...Ch. 1.1 - In Exercises 9-12, say whether or not f(x) is...Ch. 1.1 - Given f(x)=4x3, find a. f(1) b. f(0) c. f(1) d....Ch. 1.1 - Given f(x)=3x+4, find a. f(1) b. f(0) c. f(1) d....Ch. 1.1 - Given f(x)=x2+2x+3, find a. f(0) b. f(1) c. f(1)...Ch. 1.1 - Given g(x)=2x2x+1, find a. g(0) b. g(1) c. g(r) d....Ch. 1.1 - Given g(s)=s2+1s, find a. g(1) b. g(1) c. g(4) d....Ch. 1.1 - Given h(r)=1r+4, find a. h(0) b. h(3) c. h(5) d....Ch. 1.1 - In Exercises 19-24, graph the given functions....Ch. 1.1 - In Exercises 19-24, graph the given functions....Ch. 1.1 - In Exercises 19-24, graph the given functions....Ch. 1.1 - In Exercises 19-24, graph the given functions....Ch. 1.1 - In Exercises 19-24, graph the given functions....Ch. 1.1 - In Exercises 19-24, graph the given functions....Ch. 1.1 - In Exercises 25 and 26, match the functions to the...Ch. 1.1 - In Exercises 25 and 26, match the functions to the...Ch. 1.1 - In Exercises 27-30, first give the technology...Ch. 1.1 - In Exercises 27-30, first give the technology...Ch. 1.1 - In Exercises 27-30, first give the technology...Ch. 1.1 - In Exercises 27-30, first give the technology...Ch. 1.1 - In Exercises 31-36, sketch the graph of the...Ch. 1.1 - In Exercises 31-36, sketch the graph of the...Ch. 1.1 - In Exercises 31-36, sketch the graph of the...Ch. 1.1 - In Exercises 31-36, sketch the graph of the...Ch. 1.1 - In Exercises 31-36, sketch the graph of the...Ch. 1.1 - In Exercises 31-36, sketch the graph of the...Ch. 1.1 - In Exercises 37-40, find and simplify (a)...Ch. 1.1 - In Exercises 37-40, find and simplify (a)...Ch. 1.1 - In Exercises 37-40, find and simplify (a)...Ch. 1.1 - In Exercises 37-40, find and simplify (a)...Ch. 1.1 - Prob. 41ECh. 1.1 - Offshore Crude Oil Production: Mexico The...Ch. 1.1 - Social Website Popularity: Twitter The following...Ch. 1.1 - Social Website Popularity: Delicious The following...Ch. 1.1 - Housing Starts Exercises 45-48 refer to the...Ch. 1.1 - Housing Starts Exercises 45-48 refer to the...Ch. 1.1 - Housing Starts Exercises 45-48 refer to the...Ch. 1.1 - Housing Starts Exercises 45-48 refer to the...Ch. 1.1 - For which value or values of t is f(t+5)f(t)...Ch. 1.1 - For which value of values t is f(t)f(t1) least?...Ch. 1.1 - Net Income: Casual Apparel In the following graph,...Ch. 1.1 - Net Income: Casual Apparel In the following graph,...Ch. 1.1 - Funding for NASA: 1958-1966 The percentage of the...Ch. 1.1 - Funding for NASA: 1966-2015 The percentage of the...Ch. 1.1 - Acquisition of Language The percentage p(t) of...Ch. 1.1 - Prob. 56ECh. 1.1 - Prob. 57ECh. 1.1 - Processor Speeds The processor speed, in megahertz...Ch. 1.1 - Income Taxes The U.S. federal income tax is a...Ch. 1.1 - Income Taxes Repeat Exercise 59 using the...Ch. 1.1 - Complete the following sentence: If the market...Ch. 1.1 - Complete the following sentence: If weekly profit...Ch. 1.1 - Complete the following: The function notation for...Ch. 1.1 - Complete the following: The equation notation for...Ch. 1.1 - True or false? 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Prob. 5ECh. 1.3 - Prob. 6ECh. 1.3 - In Exercises 7-10, first find f(0), if not...Ch. 1.3 - In Exercises 7-10, first find f(0), if not...Ch. 1.3 - Prob. 9ECh. 1.3 - Prob. 10ECh. 1.3 - In Exercises 11-14, decide which of the two given...Ch. 1.3 - Prob. 12ECh. 1.3 - Prob. 13ECh. 1.3 - Prob. 14ECh. 1.3 - In Exercises 15-24, find the slope of the given...Ch. 1.3 - Prob. 16ECh. 1.3 - Prob. 17ECh. 1.3 - Prob. 18ECh. 1.3 - Prob. 19ECh. 1.3 - Prob. 20ECh. 1.3 - Prob. 21ECh. 1.3 - Prob. 22ECh. 1.3 - Prob. 23ECh. 1.3 - Prob. 24ECh. 1.3 - In Exercises 2538, graph the given equation.[HINT:...Ch. 1.3 - Prob. 26ECh. 1.3 - Prob. 27ECh. 1.3 - Prob. 28ECh. 1.3 - Prob. 29ECh. 1.3 - Prob. 30ECh. 1.3 - Prob. 31ECh. 1.3 - In Exercises 2538, graph the given equation.[HINT:...Ch. 1.3 - Prob. 33ECh. 1.3 - Prob. 34ECh. 1.3 - Prob. 35ECh. 1.3 - Prob. 36ECh. 1.3 - Prob. 37ECh. 1.3 - Prob. 38ECh. 1.3 - In Exercises 39-58, calculate the exact slope...Ch. 1.3 - Prob. 40ECh. 1.3 - Prob. 41ECh. 1.3 - Prob. 42ECh. 1.3 - Prob. 43ECh. 1.3 - Prob. 44ECh. 1.3 - Prob. 45ECh. 1.3 - Prob. 46ECh. 1.3 - Prob. 47ECh. 1.3 - Prob. 48ECh. 1.3 - Prob. 49ECh. 1.3 - Prob. 50ECh. 1.3 - Prob. 51ECh. 1.3 - Prob. 52ECh. 1.3 - Prob. 53ECh. 1.3 - Prob. 54ECh. 1.3 - Prob. 55ECh. 1.3 - Prob. 56ECh. 1.3 - Prob. 57ECh. 1.3 - Prob. 58ECh. 1.3 - In the following figure, estimate the slopes of...Ch. 1.3 - In the following figure, estimate the slopes of...Ch. 1.3 - In Exercises 61-80, find a linear equation whose...Ch. 1.3 - In Exercises 61-80, find a linear equation whose...Ch. 1.3 - Prob. 63ECh. 1.3 - Prob. 64ECh. 1.3 - Prob. 65ECh. 1.3 - In Exercises 61-80, find a linear equation whose...Ch. 1.3 - In Exercises 61-80, find a linear equation whose...Ch. 1.3 - Prob. 68ECh. 1.3 - Prob. 69ECh. 1.3 - Prob. 70ECh. 1.3 - Prob. 71ECh. 1.3 - Prob. 72ECh. 1.3 - Prob. 73ECh. 1.3 - Prob. 74ECh. 1.3 - Prob. 75ECh. 1.3 - In Exercises 61-80, find a linear equation whose...Ch. 1.3 - Prob. 77ECh. 1.3 - Prob. 78ECh. 1.3 - Prob. 79ECh. 1.3 - Prob. 80ECh. 1.3 - Prob. 81ECh. 1.3 - Prob. 82ECh. 1.3 - Cost: iPhone 5 (16 GB) If it costs Apple $2,070 to...Ch. 1.3 - Cost: Kinects If it costs Microsoft $1,230 to...Ch. 1.3 - Demand Sales figures show that your company sold...Ch. 1.3 - Prob. 86ECh. 1.3 - Demand for Smartphones The following table shows...Ch. 1.3 - Demand for Smartphones The following table shows...Ch. 1.3 - Demand for Monorail Service: Las Vegas In 2005 the...Ch. 1.3 - Demand/or Monorail Service: Mars The Utarek...Ch. 1.3 - Pasta Imports in the 1990s During the period...Ch. 1.3 - Mercury Imports in the 2210s During the period...Ch. 1.3 - Net Income The net income of Amazon decreased from...Ch. 1.3 - Operating Expenses The operating expenses of...Ch. 1.3 - Velocity The position of a model train, in feet...Ch. 1.3 - Velocity The height of a falling sheet of paper,...Ch. 1.3 - Fast Cars A police car was traveling down Ocean...Ch. 1.3 - Fast Cars The car that was being pursued by the...Ch. 1.3 - Textbook Sizes The second edition of Applied...Ch. 1.3 - Textbook Sizes The second edition of Finite...Ch. 1.3 - Prob. 101ECh. 1.3 - Prob. 102ECh. 1.3 - Airline Net Income Exercises 103and104 are based...Ch. 1.3 - Airline Net Income Exercises 103and104 are based...Ch. 1.3 - Income The well-known romance novelist Celestine...Ch. 1.3 - Prob. 106ECh. 1.3 - Prob. 107ECh. 1.3 - Processor Speeds The processor speed, in megahertz...Ch. 1.3 - Superbowl Advertising Exercises 109 and 110 are...Ch. 1.3 - Prob. 110ECh. 1.3 - Employment in Mexico The number of workers...Ch. 1.3 - Mortgage Delinquencies The percentage of borrowers...Ch. 1.3 - Prob. 113ECh. 1.3 - Prob. 114ECh. 1.3 - Prob. 115ECh. 1.3 - Prob. 116ECh. 1.3 - Prob. 117ECh. 1.3 - Prob. 118ECh. 1.3 - Prob. 119ECh. 1.3 - Prob. 120ECh. 1.3 - Prob. 121ECh. 1.3 - Prob. 122ECh. 1.3 - Prob. 123ECh. 1.3 - Prob. 124ECh. 1.3 - Prob. 125ECh. 1.3 - Prob. 126ECh. 1.3 - Prob. 127ECh. 1.3 - Prob. 128ECh. 1.3 - Prob. 129ECh. 1.3 - If f and g are linear functions, then is fg...Ch. 1.3 - Prob. 131ECh. 1.3 - Prob. 132ECh. 1.3 - Prob. 133ECh. 1.3 - Prob. 134ECh. 1.4 - In Exercises 1-4, compute the sum-of-squares error...Ch. 1.4 - In Exercises 1-4, compute the sum-of-squares error...Ch. 1.4 - In Exercises 1-4, compute the sum-of-squares error...Ch. 1.4 - In Exercises 1-4, compute the sum-of-squares error...Ch. 1.4 - In Exercises 5-8, use technology to compute the...Ch. 1.4 - In Exercises 5-8, use technology to compute the...Ch. 1.4 - In Exercises 5-8, use technology to compute the...Ch. 1.4 - In Exercises 5-8, use technology to compute the...Ch. 1.4 - In Exercises 9-12, find the regression line...Ch. 1.4 - In Exercises 9-12, find the regression line...Ch. 1.4 - In Exercises 9-12, find the regression line...Ch. 1.4 - In Exercises 9-12, find the regression line...Ch. 1.4 - In Exercises 13 and 14, use correlation...Ch. 1.4 - In Exercises 13 and 14, use correlation...Ch. 1.4 - Mobile Broadband Subscriptions The following table...Ch. 1.4 - Fixed-Line Telephone Subscriptions The following...Ch. 1.4 - Demand for Smartphones The following table shows...Ch. 1.4 - Demand for Smartphones The following table shows...Ch. 1.4 - Oil Recovery The Texas Bureau of Economic Geology...Ch. 1.4 - Prob. 20ECh. 1.4 - Profit: Amazon The following table shows Amazons...Ch. 1.4 - Operating Expenses: Amazon The following table...Ch. 1.4 - Textbook Sizes The following table shows the...Ch. 1.4 - Textbook Sizes Repeat Exercise 23 using the...Ch. 1.4 - Soybean Production: Cerrados The following table...Ch. 1.4 - Prob. 26ECh. 1.4 - Prob. 27ECh. 1.4 - Prob. 28ECh. 1.4 - Doctorates in Mexico Exercises 29-32 are based on...Ch. 1.4 - Doctorates in Mexico Exercises 29-32 are based on...Ch. 1.4 - Doctorates in Mexico Exercises 29-32 are based on...Ch. 1.4 - Doctorates in Mexico Exercises 29-32 are based on...Ch. 1.4 - a. Do the results of Exercises 29 and 31 suggest...Ch. 1.4 - a. Do the results of Exercises 30 and 32 suggest...Ch. 1.4 - New York City Housing Costs at the Turn of the...Ch. 1.4 - Prob. 36ECh. 1.4 - Prob. 37ECh. 1.4 - What is the smallest possible sum-of-squares error...Ch. 1.4 - Prob. 39ECh. 1.4 - Prob. 40ECh. 1.4 - Prob. 41ECh. 1.4 - Prob. 42ECh. 1.4 - Must the regression line pass through at least one...Ch. 1.4 - Why must care be taken in using mathematical...Ch. 1.4 - Your friend Imogen tells you that if r for a...Ch. 1.4 - Your other friend Mervyn tells you that if r for a...Ch. 1 - In Exercises 1-4, use the graph of the function f...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 - Prob. 13RECh. 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 - In Exercises 15-22, find the equation of the...Ch. 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 - Internet Advertising Several months ago, John...Ch. 1 - Production Costs Over at Duffin House, Marjory...Ch. 1 - Internet Advertising When OHaganBooks.com actually...Ch. 1 - Prob. 36RECh. 1 - Recreation John OHagan has just returned from a...Ch. 1 - Prob. 38RECh. 1 - Prob. 39RECh. 1 - Break-Even Analysis OHaganBooks.com also generates...Ch. 1 - Prob. 41RECh. 1 - Demand and Profit To generate a profit from its...Ch. 1 - Prob. 43RECh. 1 - Demand OHaganBooks.com has tried selling novels...
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