According to the Internal Revenue Service (IRS), the taxpayer's adjusted gross income determines the appropriateness of total itemised deductions. For taxpayers with high adjusted gross incomes, significant deductions, like as charitable and medical deductions, are more justifiable. The data on adjusted gross income and the average of justifiable itemised deductions is shown in Table 1 (in thousand of dollars). Table 1 Adjusted Gross Income Total Itemised Deductions 22 9.2 26 9.9 32 10.1 48 11.1 66 13.4 88 17.8 110 25.5 120 31.1 а) Obtain the regression model for data in Table 1 and interpret the value. b) Estimate the total itemized deductions for a taxpayer with an adjusted gross income of $52, 500. Calculate the r correlation and interpret the value. Justify whether other method can be applied to evaluate the correlation. c)

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According to the Internal Revenue Service (IRS), the taxpayer's adjusted gross income determines the
appropriateness of total itemised deductions. For taxpayers with high adjusted gross incomes, significant
deductions, like as charitable and medical deductions, are more justifiable. The data on adjusted gross
income and the average of justifiable itemised deductions is shown in Table 1 (in thousand of dollars).
Table 1
Adjusted Gross Income
22
Total Itemised Deductions
9.2
26
9.9
32
10.1
48
11.1
66
13.4
88
17.8
110
25.5
120
31.1
a)
Obtain the regression model for data in Table 1 and interpret the value.
b)
Estimate the total itemized deductions for a taxpayer with an adjusted gross income of $52, 500.
Calculate the r correlation and interpret the value. Justify whether other method can be applied to
evaluate the correlation.
c)
Transcribed Image Text:According to the Internal Revenue Service (IRS), the taxpayer's adjusted gross income determines the appropriateness of total itemised deductions. For taxpayers with high adjusted gross incomes, significant deductions, like as charitable and medical deductions, are more justifiable. The data on adjusted gross income and the average of justifiable itemised deductions is shown in Table 1 (in thousand of dollars). Table 1 Adjusted Gross Income 22 Total Itemised Deductions 9.2 26 9.9 32 10.1 48 11.1 66 13.4 88 17.8 110 25.5 120 31.1 a) Obtain the regression model for data in Table 1 and interpret the value. b) Estimate the total itemized deductions for a taxpayer with an adjusted gross income of $52, 500. Calculate the r correlation and interpret the value. Justify whether other method can be applied to evaluate the correlation. c)
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