HW 10 Chap 12 Exemplar

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

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
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 1504.500 313.290 120 25.5 14400 3060.000 650.250 Sums 399.000 97.100 30391.000 6768.400 1555.330 Means 57.000 13.871 The summations needed to compute the slope and the y -intercept are: xbar = 57.000 ybar = 13.871 Σ x 2 = 30391.000 Σ y 2 = 6768.400 Σ xy = 1555.330
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern