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 1.4, Problem 29E

Doctorates in Mexico Exercises 29-32 are based on the following table showing the annual number of PhD graduates in Mexico in various fields:74

Natural Sciences Engineering Social Sciences Education
1990 70 10 60 30
1995 130 40 110 40
2000 330 130 280 130
2005 490 370 460 210
2010 590 550 830 520
2012 590 590 1,000 900

a. With x = the number of natural science doctorates and y = the number of engineering doctorates, use technology to obtain the regression equation and graph the associated points and regression line. (Round coefficients to three significant digits.)

b. What does the slope tell you about the relationship between the number of natural science doctorates and the number of engineering doctorates?

c. Use technology to obtain the coefficient of correlation r. Does the value of r suggest a strong correlation between x and y?

d. Does the graph suggest a roughly linear relationship between x and y? Why or why not?

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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? Every graphically specified...Ch. 1.1 - True or false? Every algebraically specified...Ch. 1.1 - Prob. 67ECh. 1.1 - Prob. 68ECh. 1.1 - Prob. 69ECh. 1.1 - Which supplies more information about a situation:...Ch. 1.1 - Prob. 71ECh. 1.1 - Why is the following assertion false? If f(2)=2...Ch. 1.1 - How do the graphs of two functions differ if they...Ch. 1.1 - Prob. 74ECh. 1.1 - Prob. 75ECh. 1.1 - How do the graphs of two functions f and g differ...Ch. 1.2 - Exercises 1-8 are based on the following...Ch. 1.2 - Exercises 1-8 are based on the following...Ch. 1.2 - Exercises 1-8 are based on the following...Ch. 1.2 - Exercises 1-8 are based on the following...Ch. 1.2 - Exercises 1-8 are based on the following...Ch. 1.2 - Exercises 1-8 are based on the following...Ch. 1.2 - Exercises 1-8 are based on the following...Ch. 1.2 - Exercises 1-8 are based on the following...Ch. 1.2 - Resources You now have 200 music files on your...Ch. 1.2 - Resources The amount of free space left on your...Ch. 1.2 - Soccer My rectangular soccer field site has a...Ch. 1.2 - Cabbage My rectangular cabbage patch has a total...Ch. 1.2 - Vegetables I want to fence in a square vegetable...Ch. 1.2 - Orchids My square orchid garden abuts my house so...Ch. 1.2 - Study You study math 4 hours a day on Sunday...Ch. 1.2 - Recreation You spend 5 hours per day on Saturdays...Ch. 1.2 - Prob. 17ECh. 1.2 - Cost The cost of renting tuxes for the Choral...Ch. 1.2 - Break-Even Analysis Your college newspaper, The...Ch. 1.2 - Break-Even Analysis The Audubon Society at...Ch. 1.2 - Break-Even Analysis Gymnast Clothing manufactures...Ch. 1.2 - Break-Even Analysis Gymnast Clothing also...Ch. 1.2 - Prob. 23ECh. 1.2 - Break-Even Analysis: School Construction Costs The...Ch. 1.2 - Profit Analysis: Aviation The hourly operating...Ch. 1.2 - Prob. 26ECh. 1.2 - Prob. 27ECh. 1.2 - Prob. 28ECh. 1.2 - Prob. 29ECh. 1.2 - Prob. 30ECh. 1.2 - Break-Even Analysis: Organized Crime The organized...Ch. 1.2 - Break-Even Analysis: Disorganized Crime Butch...Ch. 1.2 - Demand: E-Readers The demand for Amazon's Kindle...Ch. 1.2 - Demand for Monorail Service: Mars The demand for...Ch. 1.2 - Demand: Smartphones The worldwide demand for...Ch. 1.2 - Demand: Smartphones (See Exercise 35.) Here is...Ch. 1.2 - Equilibrium Price: Skateboards The demand for your...Ch. 1.2 - Equilibrium Price: Skateboards The demand for your...Ch. 1.2 - Equilibrium Price: Cell Phones Worldwide quarterly...Ch. 1.2 - Equilibrium Price: Cell Phones Worldwide annual...Ch. 1.2 - Demand: E-Readers The demand for Amuons Kindle...Ch. 1.2 - Equilibrium Price: Mars Monorail Service The...Ch. 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 - Prob. 49ECh. 1.2 - Prob. 50ECh. 1.2 - Social Website Popularity: Pinterest The following...Ch. 1.2 - Social Website Popularity: Twitter The following...Ch. 1.2 - Demand for Gasoline The following table shows the...Ch. 1.2 - Demand for Mobile Data The following table shows...Ch. 1.2 - Investments In August 2013, E*TRADE Financial was...Ch. 1.2 - Investments In August 2013, Ally Bank was offering...Ch. 1.2 - Investments Refer to Exercise 55. In August of...Ch. 1.2 - Investments Refer to Exercise 56. In August of...Ch. 1.2 - Carbon Dating A fossil originally contained 104...Ch. 1.2 - Prob. 60ECh. 1.2 - Prob. 61ECh. 1.2 - Carbon Dating A fossil contains 2.8 grams of...Ch. 1.2 - Radium Decay The amount of radium 226 remaining in...Ch. 1.2 - Iodine Decay The amount of iodine 131 remaining in...Ch. 1.2 - If the population of the lunar station at Clavius...Ch. 1.2 - Prob. 66ECh. 1.2 - Classify the following model as analytical or...Ch. 1.2 - Prob. 68ECh. 1.2 - Prob. 69ECh. 1.2 - Prob. 70ECh. 1.2 - Fill in the blanks: In a linear cost function, the...Ch. 1.2 - Complete the following sentence: In a linear cost...Ch. 1.2 - Prob. 73ECh. 1.2 - What would happen to the price of a certain...Ch. 1.2 - Prob. 75ECh. 1.2 - Prob. 76ECh. 1.2 - Prob. 77ECh. 1.2 - Prob. 78ECh. 1.2 - Prob. 79ECh. 1.2 - Prob. 80ECh. 1.3 - In Exercises 1-6, a table of values for a linear...Ch. 1.3 - In Exercises 1-6, a table of values for a linear...Ch. 1.3 - In Exercises 1-6, a table of values for a linear...Ch. 1.3 - In Exercises 1-6, a table of values for a linear...Ch. 1.3 - 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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