Statistics for Business & Economics, Revised (with XLSTAT Education Edition Printed Access Card)
13th Edition
ISBN: 9781337094160
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 14.2, Problem 13E
To the Internal Revenue Service, the reasonableness of total itemized deductions depends on the taxpayer’s adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow.
| Adjusted Gross Income ($1000s) | Reasonable Amount of Itemized Deductions ($1000s) |
| 22 | 9.6 |
| 27 | 9.6 |
| 32 | 10.1 |
| 48 | 11.1 |
| 65 | 13.5 |
| 85 | 17.7 |
| 120 | 25.5 |
- a. Develop a
scatter diagram for these data with adjusted gross income as the independent variable. - b. Use the least squares method to develop the estimated regression equation.
- c. Predict the reasonable level of total itemized deductions for a taxpayer with an adjusted gross income of $52,500. If this taxpayer claimed itemized deductions of $20,400, would the IRS agent’s request for an audit appear justified? Explain.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
To the Internal Revenue Service (IRS), the reasonableness of total itemized deductions depends on the taxpayer's adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with larg
given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow.
Adjusted Gross Income Itemized Deductions
($1,000s)
22
($1,000)
9.6
27
9.6
32
10.1
48
11.1
65
13.5
85
120
15.7
25.5
(a) Develop a scatter diagram for these data with adjusted gross income as the independent variable.
30
25
20
15
10
5
30
25
20
15
10
5+
30
25-
20-
15-
10-
..
5-
0
20 40 60
80 100 120 140
Adjusted Gross Income ($1,000s)
0
20 40 60 80 100 120 140
0
Adjusted Gross Income ($1,000s)
20 40 60 80 100 120 140
Adjusted Gross Income ($1,000s)
30
25
20
15
10
5-
0
20 40 60 80 100
Adjusted Gross Income ($1,000s)
120
140
G
(b) Use the least squares method to…
To the Internal Revenue Service (IRS), the reasonableness of total itemized deductions depends on the taxpayer's adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger th
average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow.
Adjusted Gross Income
($1,000s)
22
Itemized Deductions
($1,000s)
9.6
27
9.6
32
10.1
48
11.1
65
11.5
85
120
19.7
23.5
(a) Develop a scatter diagram for these data with adjusted gross income as the independent variable.
30
25
20
15
•
10
5
Itemized Deductions ($1,000s)
0
20 40 60 80 100 120
Adjusted Gross Income ($1,000s)
140
30
25
20
15
10
5.
Itemized Deductions ($1,000s)
30
25
20
15
10
•
15
•
10
5-
0
20 40 60
80 100 120 140
0
Adjusted Gross Income ($1,000s)
20 40 60 80 100…
To the Internal Revenue Service, the reasonableness of total itemized deductions depends on the taxpayer's adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow.
Adjusted Gross Income($1,000s)
Itemized Deductions($1,000s)
22
9.6
27
9.6
32
10.1
48
11.1
65
13.5
85
19.7
120
27.5
(a)
Develop a scatter diagram for these data with adjusted gross income as the independent variable.
(b)
Use the least squares method to develop the estimated regression equation that can be used to predict itemized deductions (in $1,000s) given the adjusted gross income (in $1,000s). (Round your numerical values to three decimal…
Chapter 14 Solutions
Statistics for Business & Economics, Revised (with XLSTAT Education Edition Printed Access Card)
Ch. 14.2 - Given are five observations for two variables, x...Ch. 14.2 - Given are five observations for two variables, x...Ch. 14.2 - Given are five observations collected in a...Ch. 14.2 - The following data give the percentage of women...Ch. 14.2 - Brawdy Plastics, Inc., produces plastic seat belt...Ch. 14.2 - The National Football League (NFL) records a...Ch. 14.2 - A sales manager collected the following data on...Ch. 14.2 - The American Association of Individual Investors...Ch. 14.2 - Prob. 9ECh. 14.2 - On March 31, 2009, Ford Motor Companys shares were...
Ch. 14.2 - To help consumers in purchasing a laptop computer,...Ch. 14.2 - Concur Technologies, Inc., is a large...Ch. 14.2 - To the Internal Revenue Service, the...Ch. 14.2 - A large city hospital conducted a study to...Ch. 14.3 - The data from exercise 1 follow. xi 1 2 3 4 5 yi 3...Ch. 14.3 - The data from exercise 2 follow. xi 3 12 6 20 14...Ch. 14.3 - The data from exercise 3 follow. xi 2 6 9 13 20 yi...Ch. 14.3 - The following data show the brand, price (), and...Ch. 14.3 - In exercise 7 a sales manager collected the...Ch. 14.3 - Bicycling, the worlds leading cycling magazine,...Ch. 14.3 - An important application of regression analysis in...Ch. 14.3 - Refer to exercise 9, where the following data were...Ch. 14.5 - The data from exercise 1 follow. xi 1 2 3 4 5 yi 3...Ch. 14.5 - The data from exercise 2 follow. xi 3 12 6 20 14...Ch. 14.5 - The data from exercise 3 follow. xi 2 6 9 13 20 yi...Ch. 14.5 - In exercise 18 the data on price () and the...Ch. 14.5 - To identify high-paying jobs for people who do not...Ch. 14.5 - In exercise 8 ratings data on x = the quality of...Ch. 14.5 - Refer to exercise 21, where data on production...Ch. 14.5 - Refer to exercise 9, where the following data were...Ch. 14.5 - In exercise 20, data on x = weight (pounds) and y...Ch. 14.6 - The data from exercise 1 follow. xi 1 2 3 4 5 yi 3...Ch. 14.6 - The data from exercise 2 follow. xi 3 12 6 20 14...Ch. 14.6 - The data from exercise 3 follow. xi 2 6 9 13 20 yi...Ch. 14.6 - The following data are the monthly salaries y and...Ch. 14.6 - In exercise 7, the data on y = annual sales (...Ch. 14.6 - In exercise 13, data were given on the adjusted...Ch. 14.6 - Refer to exercise 21, where data on the production...Ch. 14.6 - In exercise 12, the following data on x = average...Ch. 14.7 - The commercial division of a real estate firm is...Ch. 14.7 - Following is a portion of the computer output for...Ch. 14.7 - A regression model relating x, number of...Ch. 14.7 - A 2012 suvey conducted by Idea Works provided data...Ch. 14.7 - Automobile racing, high-performance driving...Ch. 14.8 - Given are data for two variables, x and y. xi 6 11...Ch. 14.8 - The following data were used in a regression...Ch. 14.8 - Data on advertising expenditures and revenue (in...Ch. 14.8 - Refer to exercise 7, where an estimated regression...Ch. 14.8 - In 2011 home prices and mortgage rates dropped so...Ch. 14.9 - Consider the following data for two variables, x...Ch. 14.9 - Consider the following data for two variables, x...Ch. 14.9 - Charity Navigator is Americas leading independent...Ch. 14.9 - Many countries, especially those in Europe, have...Ch. 14.9 - Prob. 54ECh. 14 - Does a high value of r2 imply that two variables...Ch. 14 - In your own words, explain the difference between...Ch. 14 - What is the purpose of testing whether 1 = 0? If...Ch. 14 - The Dow Jones Industrial Average (DJIA) and the...Ch. 14 - Is the number of square feet of living space a...Ch. 14 - One of the biggest changes in higher education in...Ch. 14 - Jensen Tire Auto is in the process of deciding...Ch. 14 - In a manufacturing process the assembly line speed...Ch. 14 - A sociologist was hired by a large city hospital...Ch. 14 - The regional transit authority for a major...Ch. 14 - A marketing professor at Givens College is...Ch. 14 - The Transactional Records Access Clearinghouse at...Ch. 14 - The Toyota Camry is one of the best-selling cars...Ch. 14 - You have been assigned to analyze the risk...Ch. 14 - As part of a study on transportation safety, the...Ch. 14 - Consumer Reports tested 166 different...Ch. 14 - Finding the Best Car Value When trying to decide...Ch. 14 - Buckeye Creek Amusement Park is open from the...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Find the mean hourly cost when the cell phone described above is used for 240 minutes.arrow_forwardTo the Internal Revenue Service, the reasonableness of total itemized deductions depends on the taxpayer's adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow. Adjusted Gross Income ($1,000s) Itemized Deductions ($1,000s) 22 9.6 27 9.6 32 10.1 48 11.1 65 11.5 85 15.7 120 23.5 (a) Develop a scatter diagram for these data with adjusted gross income as the independent variable. 30 30 30 30 25 25 20 20 20 20 15 15 15 15 10 ... 10 10 10 ... 5. 5. 5 20 40 60 80 100 120 140 20 40 60 80 100 120 140 20 40 60 80 100 120 140 20 40 60 80 100 120 140 Adjusted Gross Income ($1,000s) Adjusted Gross Income ($1,000s) Adjusted Gross Income ($1,000s)…arrow_forwardTo the Internal Revenue Service, the reasonableness of total itemized deductions depends on the taxpayer's adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of Income, the chances of an IRS audit are increased. Data (In thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow. Adjusted Gross Income ($1,000s) Itemized Deductions ($1,000s) 22 9.6 27 9.6 32 10.1 48 11.1 65 12.5 85 16.7 120 24.5 (a) Develop a scatter diagram for these data with adjusted gross income as the independent variable. (b) Use the least squares method to develop the estimated regression equation that can be used to predict itemized deductions (in $1,000s) given the adjusted gross income (in $1,000s). (c) Predict the reasonable level of total itemized deductions (in $1,000s)…arrow_forward
- To the Internal Revenue Service, the reasonableness of total itemized deductions depends on the taxpayer's adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow. Adjusted Gross Income($1,000s) Itemized Deductions($1,000s) 22 9.6 27 9.6 32 10.1 48 11.1 65 11.5 85 19.7 120 23.5 (a) Develop a scatter diagram for these data with adjusted gross income as the independent variable. A scatter diagram has 7 points plotted on it. The horizontal axis ranges from 0 to 140 and is labeled: Adjusted Gross Income ($1,000s). The vertical axis ranges from 0 to 30 and is labeled: Itemized Deductions ($1,000s). The points are…arrow_forward($1,000s) ($1,000s) To the Internal Revenue Service (IRS), the reasonableness of total itemized deductions depends on the taxpayer's adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with larg given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow. Adjusted Gross Income Itemized Deductions 22 9.6 27 9.6 32 10.1 48 11.1 65 13.5 85 15.7 120 25.5 (a) Develop a scatter diagram for these data with adjusted gross income as the independent variable. Itemized Deductions ($1,000s) 30 25 20 15 10- 5 0 20 40 60 80 100 120 140 Adjusted Gross Income ($1,000s) Itemized Deductions ($1,000s) 30 25 20 15 10 5 0 20 40 60 80 100 120 140 Adjusted Gross Income ($1,000s) 30- 25 20 15 10 5- Itemized Deductions ($1,000s) 0 20 40 60 80 100 120 140 Adjusted Gross Income ($1,000s) 30 ྴ ཤྩ ྴ ཱ བྷཱུ ཨཾ 25 20 15…arrow_forwardYou are the warehouse manager for Discovery Kitchen Supplies. On a Sunday in May, you receive a phone call from the owner. He states that the entire building and contents were destroyed by fire. For the police report and the insurance claim, the owner has asked you to estimate the value of the lost inventory. Your records, which luckily were backed up on the hard drive of your home computer, indicate that at the time of the fire, the net sales to date were $654,300 and the purchases were $290,400. The beginning inventory on January 1 was $329,700. For the past three years, the company has operated at a gross margin of 20%. Use the gross profit method to calculate your answer. Round your answer to the nearest dollar.$arrow_forward
- Official unemployment rates for the U.S. population are reportedon a monthly basis by the Bureau of Labor Statistics.For the period October, 2011, through January, 2012, theofficial unemployment rates were 8.9% (Oct.), 8.7% (Nov.),8.5% (Dec.), and 8.3% (Jan.). (Source: U.S. Bureau of LaborStatistics, www.bls.gov.) If the unemployment rateswere to continue to decrease following a linear model,(a) predict the unemployment rate on January, 2013.(b) predict when the United States would reach a zero unemploymentrate.arrow_forwardAn Associated Press story in Easton, Maryland’s The Star Democrat on June 3, 2010 reported thatAll told, scam artists are believed to have stolen about $47 billion from Medicare in the 2009 fiscal year, nearly triple the toll a year earlier. Medicare spokesman Peter Ashkanaz said that…charges have been filed against 103 defendants in cases involving more than $100 million in Medicare fraud.(a) What percentage of the Medicare fraud has been targeted by filed charges?(b) What is the average claim in each fraud charge?(c) How many of these average size claims would need to be filed to recover the entire $47 billion?arrow_forwardAn investor accumulated 1800 shares of Microtel Corporation over a period of several months. She bought 1000 shares at $15.63, 500 shares at $19.00, and 300 shares at $21.75. What was her average cost per share? (Note: Investors who purchase shares in the same company or the same mutual fund at more than one price must eventually do this calculation. Tax rules require that the capital gain or loss on the sale of any of the shares be calculated using the weighted-average price paid for all of the shares, rather than the particular price paid for the shares actually sold.) (Round your answer to the nearest cent.) The weighted average cost per share =arrow_forward
- An investor accumulated 1800 shares of Microtel Corporation over a period of several months. She bought 1000 shares at $15.63, 500 shares at $19.00, and 300 shares at $21.75.What was her average cost per share? (Note: Investors who purchase shares in the same company or the same mutual fund at more than one price must eventually do this calculation. Tax rules require that the capital gain or loss on the sale of any of the shares be calculated using the weighted-average price paid for all of the shares, rather than the particular price paid for the shares actually sold.) (Round your answer to the nearest cent.) The weighted average cost per share = The answer is not 562arrow_forwardReliable Furniture is a family business that has been selling to retail customers in the Oakville area for many years. It advertises extensively on radio and TV, emphasizing their its prices and easy credit terms. The owner would like to review the relationship between sales and the amount spent on advertising. Below is information on sales and advertising expense for the last four months. Ad Exp. Sales Rev. Month ($ in 000) ($ in 000) July 2 7 August 1 3 September 3 8 October 4 10 G-9 B continued Questions from G-9 e) Reproduce the excel output manually. f) Interpret the strength of the correlation coefficient. g) Determine the coefficient of determination. Interpret. h) Test the significance of the Coefficient of Correlation i) Test the significance of the slope coefficients of the regression equation.arrow_forwardReliable Furniture is a family business that has been selling to retail customers in the Oakville area for many years. It advertises extensively on radio and TV, emphasizing their its prices and easy credit terms. The owner would like to review the relationship between sales and the amount spent on advertising. Below is information on sales and advertising expense for the last four months. Ad Exp. Sales Rev. Month ($ in 000) ($ in 000) July 2 7 August 1 3 September 3 8 October 4 10 a) Determine the regression equation. b) Interpret the values of a and b. c) Estimate sales when $3 thousand is spent on advertising. Include the 95% confidence interval for average X d) Determine the coefficient of correlation.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Mod-01 Lec-01 Discrete probability distributions (Part 1); Author: nptelhrd;https://www.youtube.com/watch?v=6x1pL9Yov1k;License: Standard YouTube License, CC-BY
Discrete Probability Distributions; Author: Learn Something;https://www.youtube.com/watch?v=m9U4UelWLFs;License: Standard YouTube License, CC-BY
Probability Distribution Functions (PMF, PDF, CDF); Author: zedstatistics;https://www.youtube.com/watch?v=YXLVjCKVP7U;License: Standard YouTube License, CC-BY
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License