{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

hw_04_sol - Homework 4 Covers Chapters 7 Use the Project...

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

View Full Document Right Arrow Icon
Homework 4 Covers Chapters 7 Use the Project Talent data set. 1. Perform a multiple regression by regressing Math on Gender, SES, Sociability, Reading, and Mechanical Reasoning entering the predictors in this order. a. What is the interpretation of the t-tests for SES and Sociability? Be sure to include the null and alternative hypothesis being tested, the degrees of freedom, the p- value, and your conclusion and decision about Ho at a 10% level of significance. SES Ho: B 2 = 0 Ha: B 2 ≠ 0 t-stat: 1.63 DF: 19 p-value: 0.119 Decision/Conclusion: Since p-value is greater than 0.10 we would not reject Ho. Plausible that the addition of SES makes no significant linear contribution to prediction of Math Achievement when Gender, Sociability, Reading, and Mechanical Reasoning are in the model. Sociability Ho: B 3 = 0 Ha: B 3 ≠ 0 t-stat: - 0.11 DF: 19 p-value: 0.912 Decision/Conclusion: Since p-value is greater than 0.10 we would not reject Ho. Plausible that the addition of Sociability makes no significant linear contribution to prediction of Math Achievement when Gender, SES, Reading, and Mechanical Reasoning are in the model. Regression Analysis: Math versus Gender, SES, Social, Reading, Mech The regression equation is Math = - 19.4 - 0.63 Gender + 0.231 SES - 0.050 Social + 0.237 Reading + 1.28 Mech Predictor Coef SE Coef T P Constant -19.36 14.14 -1.37 0.187 Gender -0.635 3.101 -0.20 0.840 1
Image of page 1

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

View Full Document Right Arrow Icon
SES 0.2312 0.1415 1.63 0.119 Social -0.0501 0.4476 -0.11 0.912 Reading 0.2370 0.1826 1.30 0.210 Mech 1.2820 0.4641 2.76 0.012 b. State the null and alternative hypotheses being tested by the ANOVA table in output. Include the F-statistic, p-value, and your decision and conclusion about Ho. Ho: All slopes equal 0 Ha: Not all slopes equal 0 F-stat: 8.83 p-value: 0.000 Decision/Conclusion: Reject Ho and conclude at least one slope does not equal 0. Analysis of Variance Source DF SS MS F P Regression 5 1769.93 353.99 8.83 0.000 Residual Error 19 761.91 40.10 Total 24 2531.84 Source DF Seq SS Gender 1 401.28 SES 1 582.95 Social 1 48.57 Reading 1 431.08 Mech 1 306.04 c. Create an ANOVA table that shows the contributions of each of these predictors using the Sequential Sum of Squares from output. The addition of these sum of squares should equal the SSR (Sum of Squares Regression) found in the ANOVA table of your output.
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