Data given below are on the adjusted gross income at: and the amount of itemized deductions taken by taxpayers. Data were reported in thousands of dollars. with the estimated regression equation 3:! = 4.53 + 0.16:3, the point estimate ofa reasonable level of total itemized deductions for a taxpayer with an adjusted gross inoome of $52,331) is $13,030. Click on the datale to reference the data. Excel File: data 14-37.x|sx Adjusted Gross Reasonable amount of Itemized Income ($10008) Deductions ($[DOUSJ 22 9.5 2? 9.5 32 10. I 48 11. I 55 13.5 85 17'? l 20 2515 Use the estimated regression coefcients rounded to 2 decimals in your calculations. 3. Develop a 95% condence interval for the mean amount of total itemized deductions for all taxpayers with an adjusted gross income of $52,500 (to 2 decimals). $ 11300 a thousand to 5 1.4490 6 thousand b. Develop a 95% prediction interval estimate for the amount of total itemized deductions for a particular taxpayer with an adjusted gross income of $52,531) (to 2 decimals}. $ 93?? a thousand to S 15914 a thousand c. If the particular taxpayer referred to in part (b) claimed total itemized deductions of $20,430, would the IRS agent's request For an audit appear to be justified? d. Use your answer to part (b) to give the IRS agent a guideline as to the amount of total itemized deductions a taxpayer with an adjusted gross income $52,500 should claim before an audit is recommended [to the nearest whole number]. Any deductions exceeding the s _ 2.5?1 _ 9 upper limit could suggest an audit