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Concept explainers
Stocks Exercises 49–54 are based on the following table, which shows the stock market performance of 40 industries from five sectors of the U.S. economy as of noon on September 11, 2015.9 (Take S to be the set of all 40 industries represented in the table.)
Increased
|
Decreased
|
Unchanged
|
Totals | |
Financials
|
3 | 4 | 1 | 8 |
Manufacturing
|
8 | 3 | 3 | 14 |
Information Technology
|
6 | 1 | 0 | 7 |
Health Care
|
4 | 1 | 1 | 6 |
Utilities
|
3 | 1 | 1 | 5 |
Totals | 24 | 10 | 6 | 40 |
Compute
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Chapter 6 Solutions
Bundle: Finite Mathematics, Loose-leaf Version, 7th + WebAssign Printed Access Card for Waner/Costenoble's Finite Mathematics, 7th Edition, Single-Term
- A particular magazine identified the top accounting firms in 8 geographic regions across a certain country. Even though all 8 regions reported growth in the past year, region A and region B reported the highest combined growths, with 17% and 25%, respectively. A characteristic description of the accounting firms in these regions included the number of partners in the firm. The accompanying table contains data on the number of partners. Complete parts (a) through (d) below. E Click on the icon to view the data table. IMPORTANT NOTE: In all of these questions, there are 2 possible ratios A/B and B/AI Our convention is to always assume that the larger variance is in the numerator (i.e., on top). The correct answer will always be found in this fashion. Similarly, in questions about a critical value, we shall consider the right (upper) tail. a. At the 0.01 level of significance, is there evidence of a difference in the variability in numbers of partners for region A accounting firms and…arrow_forwardQ. Table gives data on gold prices, the Consumer Price Index (CPI), and the New York Stock Exchange (NYSE) Index for the United States for the period 1974 –2006. The NYSE Index includes most of the stocks listed on the NYSE, some 1500-plus. a. Plot in the same scattergram gold prices, CPI, and the NYSE Index. b. An investment is supposed to be a hedge against inflation if its price and /or rate of return at least keeps pace with inflation. To test this hypothesis, suppose you decide to fit the following model, assuming the scatterplot in (a) suggests that this is appropriate: Gold pricet = β1 + β2 CPIt + ut NYSE indext = β1 + β2 CPIt + ut Note that if beta2 = 1 the response exactly grows with CPI Thank you!arrow_forward. e-Filing Tax Returns The Internal Revenue ServiceRestructuring and Reform Act (RRA) was signed intolaw by President Bill Clinton in 1998. A major objective ofthe RRA was to promote electronic filing of tax returns.The data in the table that follows show the percentage ofindividual income tax returns filed electronically for filingyears 2004–2012. Since the percentage P of returns filedelectronically depends on the filing year y, and each inputcorresponds to exactly one output, the percentage ofreturns filed electronically is a function of the filing year; soP1y2 represents the percentage of returns filed electronicallyfor filing year y.(a) Find the average rate of change of the percentage ofe-filed returns from 2004 to 2006.(b) Find the average rate of change of the percentage ofe-filed returns from 2007 to 2009.(c) Find the average rate of change of the percentage ofe-filed returns from 2010 to 2012.(d) What is happening to the average rate of change as timepasses?arrow_forward
- In 2009, the population of the U.S., broken down by regions, was 54.6 million in the Northeast, 66.0 million in the Midwest, 111.8 million in the South, and 70.6 million in the West. The table below shows the population movement during the period 2008–2009. (Thus, 99.23% of the population in the Northeast stayed there, while 0.16% of the population in the Northeast moved to the Midwest, and so on.)† To Northeast Midwest South West From Northeast 0.9923 0.0016 0.0042 0.0019 Midwest 0.0018 0.9896 0.0047 0.0039 South 0.0056 0.0059 0.9827 0.0058 West 0.0024 0.0033 0.0044 0.9899 Use matrix inversion and multiplication to estimate the population in each region in 2008. (Round all answers to the nearest 0.1 million.) SEE PICTURE!!!arrow_forwardQ2A The World Bank collected data on the percentage of GDP that a country spends on health expenditures ("Health expenditure," 2013) and also the percentage of women receiving prenatal care ("Pregnant woman receiving," 2013). The data for the 15 countries where this information are available for the year 2011 is in the table below: Health Expenditure (% of GDP) Prenatal Care (%) 9.6 47.9 3.7 54.6 5.2 93.7 5.2 84.7 10.0 100.0 4.7 42.5 4.8 96.4 6.0 77.1 5.4 58.3 4.8 95.4 4.1 78.0 6.0 93.3 9.5 93.3 6.8 93.7 6.1 89.8 2. Use technology to determine regression equation between percentage GDP spent on health and percentage of women receiving prenatal care. Enter regression equation the format as follows: y^=a+bx with slope rounded to nearest thousandth and y-intercept value rounded to nearest thousandth. Examples of correctly entered answers: y^=4.913+17.347x y^=7.553-11.225x Linear…arrow_forwardInternational Visitors The number of internationalvisitors to the United States for selected years 1986–2010 is given in the table below. If you had to pick one of these models to predictthe number of international visitors in the year2020, which model would be the more reasonablechoice?arrow_forward
- The following table gives the prices of some food items in the base year and current year and the quantities sold in the base year and current year. Commodity 2000 2005 Price (K) Quantity Price (K) Quantity A 15 15 22 12 B 20 5 27 4 C 4 10 7 5 Compute the following price index numbers for 2005 from the above table: Laspeyre’s price index number Paasche’s price index numberarrow_forwardCorvette, Ferrari, and Jaguar produced a variety of classic cars that continue to increase in value. The data showing the rarity rating (1–20) and the high price ($1000s) for 15 classic cars is contained in the Excel Online file below. Construct a spreadsheet to answer the following questions.arrow_forwardThe following table shows a data set containing information for 45 mutual funds that are part of the Morningstar Funds 500 for 2008. . The data set includes the following five variables: Use Excel to answer the following question: a. Prepare a crosstabulation of the data on Fund Type (row variable) and the average annual return over the past 5 years (column variable). Use classes of 0–10, 10–20, 20–30, 30–40, 40–50, and 50–60 for the 5-Year Average Return (%) (Class width is 10). B. Construct frequency distributions for Fund Type and 5-Year Average Return (%) respectively. Based on the frequency distributions of the two variables, which of the following answers is wrong? Group of answer choices Out of the 45 mutual funds, there are 2 funds with 5-year average return of 30 - 40 (%). Out of the 45 mutual funds, there are 28 funds with 5-year average return of 10 - 20 (%). Out of the 45 mutual funds, there are 28 DE type of funds. Out of the 45 mutual funds, there are 10…arrow_forward
- In 2011, home prices and mortgage rates fell so far that in a number of cities the monthly cost of owning a home was less expensive than renting. The following data show the average asking rent and the monthly mortgage on the median-priced home (including taxes and insurance) for 10 cities where the average monthly mortgage payment was less than the average asking rent (The Wall Street Journal, November 26–27, 2011). 7. City Rent ($) Mortgage ($) Atlanta 840 539 1062 1002 Chicago Detroit 823 626 DATA file Jacksonville, Fla. Las Vegas 779 711 796 655 RentMortgage 1071 953 Miami 977 Minneapolis Orlando, Fla. 776 851 695 762 651 654 Phoenix St. Louis 723 Develop a scatter diagram for these data, treating the average asking rent as the inde- pendent variable. Does a simple linear regression model appear to be appropriate? b. Use a simple linear regression model to develop an estimated regression equation to predict the monthly mortgage on the median-priced home given the average asking…arrow_forwardUsing the data in Table 6–11, calculate a 3-month moving average forecastfor month 12.arrow_forwardOil ProductionThe following table shows the amount of crude oil in billions of barrels produced in the United States in recent years. Source: U.S. Energy Information Administration. Year Crude Oil Produced 2002 2.097 2003 2.060 2004 1.989 2005 1.893 2006 1.857 2007 1.853 2008 1.830 2009 1.954 2010 2.000 2011 2.063 2012 2.377 In this exercise we are interested in the total amount of crude oil produced over the 10-year period from mid-2002 to mid-2012, using the data for the 11 years above. One approach is to sum up the numbers in the second column, but only count half of the first and last numbers. Give the answer to this calculation. Approximate the amount of crude oil produced over the 10-year period 2002-2012 by taking the average of the left endpoint sum and the right endpoint sum. Explain why this is equivalent to the calculation done in part a. This is also equivalent to a formula known as the trapezoidal rule, discussed in the next chapter. If your calculator has a cubic regression feature, find the best-fitting cubic function for these data, letting t=0 correspond to 2000. Then integrate this equation over the interval [2.12] to estimate the amount of crude oil produced over this time period. Compare with your answer to part a.arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
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