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 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 25 5 25 20 20 20 20 15 15 15 15 10- ... 10 å 10 8 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) Adjusted Gross Income ($1,000s) (b) Use the least squares method 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 places.) temized Deductions ($1,000
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 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 25 5 25 20 20 20 20 15 15 15 15 10- ... 10 å 10 8 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) Adjusted Gross Income ($1,000s) (b) Use the least squares method 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 places.) temized Deductions ($1,000
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Question

Transcribed Image Text: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
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)
Adjusted Gross Income ($1,000s)
(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 places.)
(c) Predict the reasonable level of total itemized deductions (in $1,000s) for a taxpayer with an adjusted gross income of $52,500. (Round your answer to two decimal places.)
thousand
If this taxpayer claimed itemized deductions of $20,200, would the IRS agent's request for an audit appear justified? Explain.
O Since the predicted amount of itemized deductions is significantly greater than the actual claimed itemized deductions, the agent's request for an audit appears to be justified.
O Since the predicted amount of itemized deductions is roughly the same as the actual claimed itemized deductions, the agent's request for an audit does not appear to be justified.
O Since the predicted amount of itemized deductions is significantly greater than the actual claimed itemized deductions, the agent's request for an audit does not appear to be justified.
O since the predicted amount of itemized deductions is significantly less than the actual claimed itemized deductions, the agent's request for an audit appears to be justified.
O Since the predicted amount of itemized deductions is roughly the same as the actual claimed itemized deductions, the agent's request for an audit appears to be justified.
Itemized Deductions ($1,000s)
Itemized Deductions ($1,000s)
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