Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
14th Edition
ISBN: 9780134677972
Author: Barnett
Publisher: PEARSON
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Textbook Question
Chapter 1.3, Problem 17E
Freezing temperature. Ethylene glycol and propylene glycol are liquids used in antifreeze and deicing solutions. Ethylene glycol is listed as a hazardous chemical by the Environmental Protection Agency, while propylene glycol is generally regarded as safe. Table 11 lists the freezing temperature for various concentrations (as a percentage of total weight) of each chemical in a solution used to deice airplanes. A linear regression model for the ethylene glycol data in Table 11 is
where
(A) Draw a
(B) Use the model to estimate the freezing temperature to the nearest degree of a solution that
is 30% ethylene glycol.
(C) Use the model to estimate the percentage of ethylene glycol in a solution that freezes at
15°F.
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We have data on Lung Capacity of persons and we wish
to build a multiple linear regression model that predicts
Lung Capacity based on the predictors Age and
Smoking Status. Age is a numeric variable whereas
Smoke is a categorical variable (0 if non-smoker, 1 if
smoker). Here is the partial result from STATISTICA.
b*
Std.Err.
of b*
Std.Err.
N=725
of b
Intercept
Age
Smoke
0.835543
-0.075120
1.085725
0.555396
0.182989
0.014378
0.021631
0.021631
-0.648588
0.186761
Which of the following statements is absolutely false?
A. The expected lung capacity of a smoker is expected
to be 0.648588 lower than that of a non-smoker.
B. The predictor variables Age and Smoker both
contribute significantly to the model.
C. For every one year that a person gets older, the lung
capacity is expected to increase by 0.555396 units,
holding smoker status constant.
D. For every one unit increase in smoker status, lung
capacity is expected to decrease by 0.648588 units,
holding age constant.
A study was done in diesel-powered light-duty pickup truck to see if humidity, air temperature, and barometric
pressure influence emission of nitrous oxide (in ppm). Emission measurements were taken at different times,
with varying experimental conditions.
a. Fit the multiple linear regression model.
b. Estimate the amount of nitrous oxide emitted for the conditions where humidity is 50%,
temperature is 76 deg F, and barometric pressure is 29.30.
Nitrous
Humidity, Temp.,
Pressure.
Nitrous
Humidity, Temp.,
Pressure,
Oxide, y
Oxide, y
0.90
72.4
76.3
29.18
1.07
23.2
76.8
29.38
0.91
41.6
70.3
29.35
0.94
47.4
86.6
29.35
0.96
34.3
77.1
29.2
1.10
31.5
76.9
29.63
0.89
35.1
68.0
29.27
1.10
10.6
86.3
29.56
1.00
10.7
79.0
29.78
1.10
86.0
76.3
11.2
29.48
1.10
12.9
67.4
29.39
0.91
73.3
29.40
1.15
8.3
66.8
29.69
0.87
75.4
77.9
29.28
1.03
20.1
76.9
29.48
0.78
96.6
78.7
29.29
0.77
72.2
77.7
29.09
0.82
107.4
86.8
29.03
1.07
24.0
67.7
29.60
0.95
54.9
70.9
29.37
The production of wine is a multibillion-dollar worldwide industry. In an attempt to develop a model of wine quality as judged by wine experts, data was collected from red wine variants of a certain type of wine. A sample of 12 wines is given. Develop a simple linear regression model to predict wine quality, measured on a scale from 0 (very bad) to 10 (excellent), based on alcohol content (%).
b. For these data, b0=4.4 and b1=0.2. Interpret the meaning of the slope,
b1, in this problem. Choose the correct answer below.
A.
The slope, b1, implies that for each increase of 1 wine quality rating, the alcohol content is expected to increase by the value of b1, in percentages.
B.
The slope, b1, implies that the alcohol content is equal to the value of b1,in percentages.
C.
The slope, b1, implies that for each increase of alcohol percentage of 1.0, the wine quality rating is expected to increase by the value of b1.
D.
The slope, b1, implies that…
Chapter 1 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Ch. 1.1 - According to equality property 2, multiplying both...Ch. 1.1 - Replace ? with < or > in each of the following:...Ch. 1.1 - The solution to Example 5B shows the graph of the...Ch. 1.1 - Solve and check: 3x2(2x5)=2(x+3)8Ch. 1.1 - Solve and check: x+13x4=12Ch. 1.1 - Matched Problem 3 If a cardboard box has length L,...Ch. 1.1 - Replace each question mark with either < or >....Ch. 1.1 - (A) Write 7,4 as a double inequality and graph....Ch. 1.1 - Solve and graph: 3(x1)5(x+2)5Ch. 1.1 - Solve and graph: 83x57
Ch. 1.1 - Mary paid 8.5 sales tax and a 190 title and...Ch. 1.1 - How many bike computers would a company have to...Ch. 1.1 - What net annual salary in 1973 would have had the...Ch. 1.1 - In Problems 1-6, solve for x. 5x+3=x+23Ch. 1.1 - In Problems 1-6, solve for x. 7x6=5x24Ch. 1.1 - In Problems 1-6, solve for x. 9(4x)=2(x+7)Ch. 1.1 - In Problems 1-6, solve for x. 3(x+6)=52(x+1)Ch. 1.1 - In Problems 1-6, solve for x. x+14=x2+5Ch. 1.1 - In Problems 1-6, solve for x. 2x+135x2=4Ch. 1.1 - In Problems 7-12, write the interval as an...Ch. 1.1 - In Problems 7-12, write the interval as an...Ch. 1.1 - In Problems 7-12, write the interval as an...Ch. 1.1 - In Problems 7-12, write the interval as an...Ch. 1.1 - In Problems 7-12, write the interval as an...Ch. 1.1 - In Problems 7-12, write the interval as an...Ch. 1.1 - In Problems 13-18, write the solution set using...Ch. 1.1 - In Problems 13-18, write the solution set using...Ch. 1.1 - In Problems 13-18, write the solution set using...Ch. 1.1 - In Problems 13-18, write the solution set using...Ch. 1.1 - In Problems 13-18, write the solution set using...Ch. 1.1 - In Problems 13-18, write the solution set using...Ch. 1.1 - In Problems 19-32, find the solution set. x4+12=18Ch. 1.1 - In Problems 19-32, find the solution set. m34=23Ch. 1.1 - In Problems 19-32, find the solution set. y532Ch. 1.1 - In Problems 19-32, find the solution set. x456Ch. 1.1 - In Problems 19-32, find the solution set....Ch. 1.1 - In Problems 19-32, find the solution set....Ch. 1.1 - In Problems 19-32, find the solution set....Ch. 1.1 - In Problems 19-32, find the solution set. 34x=5x+1Ch. 1.1 - In Problems 19-32, find the solution set. 3y4y3Ch. 1.1 - In Problems 19-32, find the solution set. x22x5Ch. 1.1 - In Problems 19-32, find the solution set. x5x6=65Ch. 1.1 - In Problems 19-32, find the solution set. y4y3=12Ch. 1.1 - In Problems 19-32, find the solution set. m5335m2Ch. 1.1 - In Problems 19-32, find the solution set. u223u3+2Ch. 1.1 - In Problems 33-36, solve and graph. 23x714Ch. 1.1 - In Problems 33-36, solve and graph. 45x+621Ch. 1.1 - In Problems 33-36, solve and graph. 495C+3268Ch. 1.1 - In Problems 33-36, solve and graph. 123t+511Ch. 1.1 - In Problems 37-42, solve for the indicated...Ch. 1.1 - In Problems 37-42, solve for the indicated...Ch. 1.1 - In Problems 37-42, solve for the indicated...Ch. 1.1 - In Problems 37-42, solve for the indicated...Ch. 1.1 - In Problems 37-42, solve for the indicated...Ch. 1.1 - In Problems 37-42, solve for the indicated...Ch. 1.1 - In Problems 43 and 44, solve and graph. 347x18Ch. 1.1 - In Problems 43 and 44, solve and graph. 1083u6Ch. 1.1 - If both a and b are positive numbers and b/a. is...Ch. 1.1 - If both a and b are negative numbers and b/a is...Ch. 1.1 - Ticket sales. A rock concert brought in $432,500...Ch. 1.1 - Parking meter coins. An all-day parking meter...Ch. 1.1 - IRA. You have $500,000 in an IRA (Individual...Ch. 1.1 - IRA. Refer to Problem 49. How should you divide...Ch. 1.1 - Car prices. If the price change of cars parallels...Ch. 1.1 - Home values. If the price change in houses...Ch. 1.1 - Retail and wholesale prices. Retail prices in a...Ch. 1.1 - Retail and sale prices. Sale prices in a...Ch. 1.1 - Equipment rental. A golf course charges $52 for a...Ch. 1.1 - Equipment rental. The local supermarket rents...Ch. 1.1 - Sales commissions. One employee of a computer...Ch. 1.1 - Sales commissions. A second employee of the...Ch. 1.1 - Break-even analysis. A publisher for a promising...Ch. 1.1 - Break-even analysis. The publisher of a new book...Ch. 1.1 - Break-even analysis. The publisher in Problem 59...Ch. 1.1 - Break-even analysis. The publisher in Problem 60...Ch. 1.1 - Wildlife management. A naturalist estimated the...Ch. 1.1 - Temperature conversion. If the temperature for a...Ch. 1.1 - Psychology. The IQ (intelligence quotient) is...Ch. 1.1 - Psychology. Refer to Problem 65. If the IQ of a...Ch. 1.2 - (A) As noted earlier, (4,3) is a solution of the...Ch. 1.2 - (A) Graph y=x+b for b=5,3,0,3 and 5 simultaneously...Ch. 1.2 - Graph:4x3y=12Ch. 1.2 - Graph 4x-3y=12 on a graphing calculator and find...Ch. 1.2 - (A) Graph x=5andy=3 simultaneously in the same...Ch. 1.2 - Find the slope of the line through each pair of...Ch. 1.2 - Write the equation of the line with slope 12 and y...Ch. 1.2 - (A) Find an equation for the line that has slope...Ch. 1.2 - Answer parts (A) and (B) in Example 7 for fixed...Ch. 1.2 - At a price of $12.59 per box of grapefruit, the...Ch. 1.2 - \ Problems 1-4 refer to graphs (A)-(D). Identify...Ch. 1.2 - Problems 1-4 refer to graphs (A)-(D). Identify the...Ch. 1.2 - Problems 1-4 refer to graphs (A)-(D). Identify the...Ch. 1.2 - Problems 1-4 refer to graphs (A)-(D). Identify the...Ch. 1.2 - In Problems 5-8, sketch a graph of each equation...Ch. 1.2 - In Problems 5-8, sketch a graph of each equation...Ch. 1.2 - In Problems 5-8, sketch a graph of each equation...Ch. 1.2 - In Problems 5-8, sketch a graph of each equation...Ch. 1.2 - In Problems 9-14, find the slope and y intercept...Ch. 1.2 - In Problems 9-14, find the slope and y intercept...Ch. 1.2 - In Problems 9-14, find the slope and y intercept...Ch. 1.2 - In Problems 9-14, find the slope and y intercept...Ch. 1.2 - In Problems 9-14, find the slope and y intercept...Ch. 1.2 - In Problems 9-14, find the slope and y intercept...Ch. 1.2 - In Problems 15-20, find the slope and x intercept...Ch. 1.2 - In Problems 15-20, find the slope and x intercept...Ch. 1.2 - In Problems 15-20, find the slope and x intercept...Ch. 1.2 - In Problems 15-20, find the slope and x intercept...Ch. 1.2 - In Problems 15-20, find the slope and x intercept...Ch. 1.2 - In Problems 15-20, find the slope and x intercept...Ch. 1.2 - In Problems 21-24, write an equation of the line...Ch. 1.2 - In Problems 21-24, write an equation of the line...Ch. 1.2 - In Problems 21-24, write an equation of the line...Ch. 1.2 - In Problems 21-24, write an equation of the line...Ch. 1.2 - In Problems 25-28, use the graph of each line to...Ch. 1.2 - In Problems 25-28, use the graph of each line to...Ch. 1.2 - In Problems 25-28, use the graph of each line to...Ch. 1.2 - In Problems 25-28, use the graph of each line to...Ch. 1.2 - In Problems 29-34, sketch a graph of each equation...Ch. 1.2 - In Problems 29-34, sketch a graph of each equation...Ch. 1.2 - In Problems 29-34, sketch a graph of each equation...Ch. 1.2 - In Problems 29-34, sketch a graph of each equation...Ch. 1.2 - In Problems 29-34, sketch a graph of each equation...Ch. 1.2 - In Problems 29-34, sketch a graph of each equation...Ch. 1.2 - In Problems 35-40, find the slope of the graph of...Ch. 1.2 - In Problems 35-40, find the slope of the graph of...Ch. 1.2 - In Problems 35-40, find the slope of the graph of...Ch. 1.2 - In Problems 35-40, find the slope of the graph of...Ch. 1.2 - In Problems 35-40, find the slope of the graph of...Ch. 1.2 - In Problems 35-40, find the slope of the graph of...Ch. 1.2 - Given Ax+By=12, graph each of the following three...Ch. 1.2 - Given Ax+By=24, graph each of the following three...Ch. 1.2 - Graph y=25x+200,x0.Ch. 1.2 - Graph y=40x+160,x0.Ch. 1.2 - (A) Graph y=1.2x4.2 in a rectangular coordinate...Ch. 1.2 - (A) Graph y=0.8x+5.2 in a rectangular coordinate...Ch. 1.2 - In Problems 47-50, write the equations of the...Ch. 1.2 - In Problems 47-50, write the equations of the...Ch. 1.2 - In Problems 47-50, write the equations of the...Ch. 1.2 - In Problems 47-50, write the equations of the...Ch. 1.2 - In Problems 51-58, write the slope-intercept form...Ch. 1.2 - In Problems 51-58, write the slope-intercept form...Ch. 1.2 - In Problems 51-58, write the slope-intercept form...Ch. 1.2 - In Problems 51-58, write the slope-intercept form...Ch. 1.2 - In Problems 51-58, write the slope-intercept form...Ch. 1.2 - In Problems 51-58, write the slope-intercept form...Ch. 1.2 - In Problems 51-58, write the slope-intercept form...Ch. 1.2 - In Problems 51-58, write the slope-intercept form...Ch. 1.2 - In Problems 59-66, (A) Find the slope of the line...Ch. 1.2 - In Problems 59-66, (A) Find the slope of the line...Ch. 1.2 - In Problems 59-66, (A) Find the slope of the line...Ch. 1.2 - In Problems 59-66, (A) Find the slope of the line...Ch. 1.2 - In Problems 59-66, (A) Find the slope of the line...Ch. 1.2 - In Problems 59-66, (A) Find the slope of the line...Ch. 1.2 - In Problems 59-66, (A) Find the slope of the line...Ch. 1.2 - In Problems 59-66, (A) Find the slope of the line...Ch. 1.2 - Discuss the relationship among the graphs of the...Ch. 1.2 - Discuss the relationship among the graphs of the...Ch. 1.2 - Cost analysis. A donut shop has a fixed cost of...Ch. 1.2 - Cost analysis. A small company manufactures picnic...Ch. 1.2 - Cost analysis. A plant can manufacture 80 golf...Ch. 1.2 - Cost analysis. A plant can manufacture 50 tennis...Ch. 1.2 - Business-Markup policy. A drugstore sells a drug...Ch. 1.2 - Business-Markup policy. A clothing store sells a...Ch. 1.2 - Business-Depreciation. A farmer buys a new tractor...Ch. 1.2 - Business-Depreciation. A charter fishing company...Ch. 1.2 - Boiling point. The temperature at which water...Ch. 1.2 - Boiling point. The temperature at which water...Ch. 1.2 - Flight conditions. In stable air, the air...Ch. 1.2 - Flight navigation. The airspeed indicator on some...Ch. 1.2 - Demographics. The average number of persons per...Ch. 1.2 - Demographics. The median household income divides...Ch. 1.2 - Cigarette smoking. The percentage of female...Ch. 1.2 - Cigarette smoking. The percentage of male...Ch. 1.2 - Supply and demand. 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Find a linear regression model for the...Ch. 1.3 - Climate. Find a linear regression model for the...Ch. 1.3 - Olympic Games. Find a linear regression model for...Ch. 1.3 - Olympic Games. Find a linear regression model for...Ch. 1.3 - Supply and demand. Table 16 contains price supply...Ch. 1.3 - Supply and demand. Table 17 contains price supply...Ch. 1 - Solve2x+3=7x11.Ch. 1 - Solvex12x33=12.Ch. 1 - Solve2x+5y=9fory.Ch. 1 - Solve3x4y=7forx.Ch. 1 - Solve Problems 5-7 and graph on a real number...Ch. 1 - Solve Problems 5-7 and graph on a real number...Ch. 1 - Solve Problems 5-7 and graph on a real number...Ch. 1 - Sketch a graph of 3x+2y=9.Ch. 1 - Write an equation of a line with x intercept 6 and...Ch. 1 - Sketch a graph of 2x3y=18. What are the intercepts...Ch. 1 - Write an equation in the form y=mx+b for a line...Ch. 1 - Write the equations of the vertical line and the...Ch. 1 - Write the equation of a line through each...Ch. 1 - Write the equation of the line through the two...Ch. 1 - Solve Problems 15-19. 3x+25=5xCh. 1 - Solve Problems 15-19. u5=u6+65Ch. 1 - Solve Problems 15-19. 5x34+x2=x24+1Ch. 1 - Solve Problems 15-19. 0.05x+0.2530x=3.3Ch. 1 - Solve Problems 15-19. 0.2x3+0.05x=0.4Ch. 1 - Solve Problems 20-24 and graph on a real number...Ch. 1 - Solve Problems 20-24 and graph on a real number...Ch. 1 - Solve Problems 20-24 and graph on a real number...Ch. 1 - Solve Problems 20-24 and graph on a real number...Ch. 1 - Solve Problems 20-24 and graph on a real number...Ch. 1 - Given Ax+By=30, graph each of the following cases...Ch. 1 - Describe the graphs of x=3 and y=2 Graph both...Ch. 1 - Describe the lines defined by the following...Ch. 1 - Solve Problems 28 and 29 for the indicated...Ch. 1 - Solve Problems 28 and 29 for the indicated...Ch. 1 - For what values of a and b is the inequality a+bba...Ch. 1 - If a and b are negative numbers and ab, then is...Ch. 1 - Graph y=mx+bandy=1mx+b simultaneously in the same...Ch. 1 - Investing. 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