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 adjus adjusted gross income and the average or reasonable amount of itemized deductions follow. Itemized Deductions ($1,000s) Adjusted Gross Income ($1,000s) 22 O 301 25 20 15 10 5 27 0 32 48 65 85 120 ... 9.6 (a) Develop a scatter diagram for these data with adjusted gross Income as the Independent variable. 9.6 10.1 x 11.1 15.5 17.7 27.5 20 40 60 80 100 120 140 Adjusted Gross Income ($1,000s) 30T 25 20 15- 10 5- 0 20 40 60 80 100 120 Adjusted Gross Income ($1,000s) 120 140 E 30 25 20- 15 10- 5- 0 ... 20 40 60 80 100 120 140 Adjusted Gross Income ($1,000s) (c) Predict the reasonable level of total itemized deductions (in $1,000s) for a taxpayer with an adjusted gross income of $47,500. (Round your answer to two decimal places.) $ 13.08 x thousand If this taxpayer claimed itemized deductions of $20,400, 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 does not appear 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. be Deductions ( (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.) 94.155 +0.170x 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. 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. 30 25 20 13- 10- 5 0 80 100 120 120 140 20 40 60 Adjusted Gross Income ($1,000s)
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 adjus adjusted gross income and the average or reasonable amount of itemized deductions follow. Itemized Deductions ($1,000s) Adjusted Gross Income ($1,000s) 22 O 301 25 20 15 10 5 27 0 32 48 65 85 120 ... 9.6 (a) Develop a scatter diagram for these data with adjusted gross Income as the Independent variable. 9.6 10.1 x 11.1 15.5 17.7 27.5 20 40 60 80 100 120 140 Adjusted Gross Income ($1,000s) 30T 25 20 15- 10 5- 0 20 40 60 80 100 120 Adjusted Gross Income ($1,000s) 120 140 E 30 25 20- 15 10- 5- 0 ... 20 40 60 80 100 120 140 Adjusted Gross Income ($1,000s) (c) Predict the reasonable level of total itemized deductions (in $1,000s) for a taxpayer with an adjusted gross income of $47,500. (Round your answer to two decimal places.) $ 13.08 x thousand If this taxpayer claimed itemized deductions of $20,400, 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 does not appear 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. be Deductions ( (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.) 94.155 +0.170x 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. 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. 30 25 20 13- 10- 5 0 80 100 120 120 140 20 40 60 Adjusted Gross Income ($1,000s)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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