In: Economics
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.