HW 10 Chap 12 Exemplar

HW 10 Chap 12 Exemplar - Exemplar for the Regression...

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Exemplar for the Regression Problems Required for Homework #10 12.13. For n = 7 sampled tax payers, given data for their total adjusted gross income and amount of itemized deductions, both in thousands of dollars. Let x denote the independent variable of total adjusted gross income and let y denote the amount of itemized deductions, both in thousands of dollars. x y 22 9.6 27 9.6 32 10.1 48 11.1 65 13.5 85 17.7 120 25.5 a. Graph of the n = 7 sample data. There appears to be an increasing linear relationship between total adjusted gross income and the amount of itemized deductions. HW #10 regression exemplar 1 © 2010 Harvey Singer 0.0 5.0 10.0 15.0 20.0 25.0 30.0 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 x y
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The trend is increasing, meaning that y generally increases as x increases. Therefore, anticipate that the slope b 1 of the line will be positive. b. Calculations: Calcs x y x^2 xy y^2 22 9.6 484 211.200 92.160 27 9.6 729 259.200 92.160 32 10.1 1024 323.200 102.010 48 11.1 2304 532.800 123.210 65 13.5 4225 877.500 182.250 85 17.7 7225 1504.500
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HW 10 Chap 12 Exemplar - Exemplar for the Regression...

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