{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

stat512review1 - Statistics 512 Review Problems for First...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Statistics 512: Review Problems for First Midterm Exam Keep for First Exam Review (October 6) 1. In a simple linear regression problem with n = 28, the following estimates were obtained: b 0 = 4 . 30, b 1 = 0 . 56, s { b 0 } = 0 . 012, s { b 1 } = 0 . 034, s = 0 . 1385, ¯ X = - 0 . 0773, SS X = 14 . 598. Values of X were in the range - 1 . 43 to 0.683. (a) Write the simple linear regression model. Include the distributional assumption. (b) Write the estimated regression line and the estimated error variance. (c) If appropriate, estimate the mean value of Y for the given X . If not appropriate, say why. i. X = 0. ii. X = 2. (d) Give a 95% confidence interval for the slope of the regression line. (e) Give a 99% prediction interval for the next value of Y when X = 0 . 5. 2. Short answer questions. Unless stated otherwise, each part is unrelated. (a) If the design matrix has dimensions 20 × 4, what is the dimension of the error vector? (b) If the power for detecting a difference of means is 0.03, what can you say about the test’s α level?
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
Image of page 2
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