11. To the Internal Revenue Service (IRS), 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 adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Therefore, he has collected seven randomly selected data (RM'o00) on adjusted gross income and the average or reasonable amount of itemized deductions (RM’000). The following Microsoft Excel Output depicted the analysis result. SUMMARY OUTPUT Regression Statistics Multiple R 0.9772 R Square 0.9549 Adjusted R Square 0.9458 Standard Error 1.3716 Observations 7 ANOVA MS Significance F Regression 1 199.0083 199.0083 105.7884 0.0001 Residual 9.4060 1.8812 Total 6. 208.4143 Coefficients Standard Error 1.0334 t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 4.6768 4.5256 0.0063 2.0203 7.3332 2.0203 7.3332 Adjusted Gross Income 0.1613 0.0157 10.2854 0.0001 0.1210 0.2016 0.1210 0.2016 Identify the dependent and independent variables involved in this study.

Intermediate Algebra
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ISBN:9780998625720
Author:Lynn Marecek
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Chapter12: Sequences, Series And Binomial Theorem
Section12.3: Geometric Sequences And Series
Problem 12.58TI: What is the total effect on the economy of a government tax rebate of $500 to each household in...
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(ii)
Determine the product moment correlation coefficient between the adjusted gross
income (RM'000) and the reasonable amount of itemized deductions (RM'000).
Then, interpret its value.
(iii) Determine the coefficient of determination and give a comment on its value.
(iv)
Construct a linear regression equation for the adjusted gross income (RM°000)
and the reasonable amount of itemized deductions (RM'000).
By using P-value approach, test the linearity between the adjusted gross income
(RM'000) and the reasonable amount of itemized deductions (RM’000).
Estimate a reasonable level of total itemized deductions for a taxpayer with an
adjusted gross income of RM52500.
(v)
(vi)
Transcribed Image Text:(ii) Determine the product moment correlation coefficient between the adjusted gross income (RM'000) and the reasonable amount of itemized deductions (RM'000). Then, interpret its value. (iii) Determine the coefficient of determination and give a comment on its value. (iv) Construct a linear regression equation for the adjusted gross income (RM°000) and the reasonable amount of itemized deductions (RM'000). By using P-value approach, test the linearity between the adjusted gross income (RM'000) and the reasonable amount of itemized deductions (RM’000). Estimate a reasonable level of total itemized deductions for a taxpayer with an adjusted gross income of RM52500. (v) (vi)
11.
To the Internal Revenue Service (IRS), 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 adjusted
gross incomes. If a taxpayer claims larger than average itemized deductions for a given
level of income, the chances of an IRS audit are increased. Therefore, he has collected
seven randomly selected data (RM'000) on adjusted gross income and the average or
reasonable amount of itemized deductions (RM°000). The following Microsoft Excel
Output depicted the analysis result.
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.9772
R Square
0.9549
Adjusted R Square
0.9458
Standard Error
1.3716
Observations
7
ANOVA
df
MS
F
Significance F
Regression
199.0083 199.0083 105.7884
0.0001
Residual
9.4060
1.8812
Total
6.
208.4143
Coefficients Standard Error
t Stat
P-value
Lower 95%
Upper 95% Lower 95.0% Upper 95.0%
Intercept
Adjusted Gross Income
4.6768
1.0334
4.5256
0.0063
2.0203
7.3332
2.0203
7.3332
0.1613
0.0157 10.2854
0.0001
0.1210
0.2016
0.1210
0.2016
(i)
Identify the dependent and independent variables involved in this study.
Transcribed Image Text:11. To the Internal Revenue Service (IRS), 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 adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Therefore, he has collected seven randomly selected data (RM'000) on adjusted gross income and the average or reasonable amount of itemized deductions (RM°000). The following Microsoft Excel Output depicted the analysis result. SUMMARY OUTPUT Regression Statistics Multiple R 0.9772 R Square 0.9549 Adjusted R Square 0.9458 Standard Error 1.3716 Observations 7 ANOVA df MS F Significance F Regression 199.0083 199.0083 105.7884 0.0001 Residual 9.4060 1.8812 Total 6. 208.4143 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept Adjusted Gross Income 4.6768 1.0334 4.5256 0.0063 2.0203 7.3332 2.0203 7.3332 0.1613 0.0157 10.2854 0.0001 0.1210 0.2016 0.1210 0.2016 (i) Identify the dependent and independent variables involved in this study.
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