Question

In: Economics

Data are given below on the adjusted gross income x and the amount of itemized deductions...

Data are given below on the adjusted gross income x and the amount of itemized deductions taken by taxpayers. Data were reported in thousands of dollars. With the estimated regression equation  = 4.68 + .16x, the point estimate of a reasonable level of total itemized deductions for a taxpayer with an adjusted gross income of $52.5 thousand is $13.08 thousand.


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


In the questions that follow, enter the dollar amounts requested. For example, if the regression results provide a value of 11.74 thousand, enter 11,740 as the dollar amount in the box. Use Table 1 of Appendix B.

Develop a 95% confidence interval for the amount of total itemized deductions for all taxpayers with an adjusted gross income of $52,500 (to the nearest whole number).
$ (  ,  )

Develop a 95% prediction interval for the amount of total itemized deductions for a particular taxpayer with an adjusted gross income of $52,500 (to the nearest whole number).
$ (  ,  )

If the particular taxpayer referred to in part (b) claimed total itemized deductions of $20,400, would the IRS agent's request for an audit appear to be justified?
SelectYes, because the deduction is larger than expectedYes, because the deduction is expectedNo, because the deduction is lower than expectedItem 5

Use your answer to part (b) to give the IRS agent a guideline as to the amount of itemized deductions that would suggest an audit for a taxpayer with an adjusted gross income of $52,500.

Any deductions exceeding the upper limit of $  could suggest an audit.

Solutions

Expert Solution


Related Solutions

Data are given below on the adjusted gross income x and the amount of itemized deductions...
Data are given below on the adjusted gross income x and the amount of itemized deductions taken by taxpayers. Data were reported in thousands of dollars. With the estimated regression equation  = 4.68 + .16x, the point estimate of a reasonable level of total itemized deductions for a taxpayer with an adjusted gross income of $52.5 thousand is $13.08 thousand. 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...
Data are given below on the adjusted gross income x and the amount of itemized deductions...
Data are given below on the adjusted gross income x and the amount of itemized deductions taken by taxpayers. Data were reported in thousands of dollars. With the estimated regression equation  = 4.68 + .16x, the point estimate of a reasonable level of total itemized deductions for a taxpayer with an adjusted gross income of $52.5 thousand is $13.08 thousand. 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...
Mark and Patricia report adjusted gross income of $410,000 and itemized deductions of $31,000 for the...
Mark and Patricia report adjusted gross income of $410,000 and itemized deductions of $31,000 for the interest on their home acquisition mortgage (principal amount of $890,000 acquired in 2015), $14,000 in state and local taxes, and $38,000 in charitable contributions. They file a joint income tax return and have four dependent children under age 16. What is their taxable income for 2019 and allowable tax credits?
The Wall Street Journal reported that of taxpayers with adjusted gross incomes between and itemized deductions...
The Wall Street Journal reported that of taxpayers with adjusted gross incomes between and itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was . Assume that the standard deviation is . Use z-table. a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within of the population mean for each of the following sample sizes: , ,...
The Wall Street Journal reported that of taxpayers with adjusted gross incomes between and itemized deductions...
The Wall Street Journal reported that of taxpayers with adjusted gross incomes between and itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was . Assume that the standard deviation is . Use z-table. a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within of the population mean for each of the following sample sizes: , ,...
In 2019, a single engineer had a gross income of $68,000 and itemized deductions of $13,400....
In 2019, a single engineer had a gross income of $68,000 and itemized deductions of $13,400. Determine the amount of minimum federal tax he must pay.
solve it with GRAPHNCALC83 3. Following data on adjusted income and reasonable itemized deduction amount of...
solve it with GRAPHNCALC83 3. Following data on adjusted income and reasonable itemized deduction amount of 1040 Form is published by IRS. (20 points) Adjusted Gross Income ($1000) in 1040 Reasonable itemized reduction amount ($1000) 22 9.6 27 9.6 32 10.1 48 11.1 65 13.5 85 17.7 120 25.5 Which variable is the predictor (X) and which is the response (Y)? Find the least-square regression line y=a+bx Plot the data and your least-square line in one graph. Do you think...
3. Following data on adjusted income and reasonable itemized deduction amount of 1040 Form is published...
3. Following data on adjusted income and reasonable itemized deduction amount of 1040 Form is published by IRS. (20 points) Adjusted Gross Income ($1000) in 1040 Reasonable itemized reduction amount ($1000) 22 9.6 27 9.6 32 10.1 48 11.1 65 13.5 85 17.7 120 25.5 Which variable is the predictor (X) and which is the response (Y)? Find the least-square regression line y=a+bx Plot the data and your least-square line in one graph. Do you think that the regression line...
The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return
The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was $17,190. Assume that the standard deviation is σ = $2,603. Use z-table. a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $166 of the population mean for each of the...
The Wall Street Journal reports that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return.
  The Wall Street Journal reports that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was $16,642. Assume the standard deviation is σ = $2,400. (a) What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $200 of the population mean for each of the following...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT