Mathcad - UF-ESI-6321-13-01-01

Mathcad - UF-ESI-6321-13-01-01 - UF-ESI-6321 UF-ESI-01.xmcd...

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

View Full Document Right Arrow Icon
UF-ESI-6321 UF-ESI-6321-13-01-01.xmcd page 1 of 3 13.1.1 The multiple linear regression model y β 0 β 1 x 1 + β 2 x 2 + β 3 x 3 + = is fitted to a data set of n 30 := observations. The total sum of squares is SST 108.9 := and the error sum of squares is SSE 12.4 := (a) What is the coefficient of determination R 2 ? SSR SST SSE - 96.5 = := R SSR SST 0.941 = := R 2 0.886 = Luther Setzer 1 NASA Pkwy E Stop NEM3, Kennedy Space Center, FL 32899 (321) 544-7435
Image of page 1

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

View Full Document Right Arrow Icon
UF-ESI-6321 UF-ESI-6321-13-01-01.xmcd page 2 of 3 (b) Write out the analysis of variance table. k 3 := MSR SSR k := MSE SSE n k - 1 - := i 1 3 .. := j 1 2 .. := l 2 2 .. := F l MSR MSE := v i k n k - 1 - n 1 - := SS i SSR SSE SST := MS j MSR MSE := p l 1 pF F l v 1 , v 2 , ( ) - := v i 3 26 29 = SS i 96.5 12.4 108.9 = MS j 32.167 0.477 = F l 67.446 = p l 0.000 = Source i "Regression" "Error" "Total" := (c) What is the estimate of the error variance σ 2 ? σ SSE n k - 1 - 0.691 = := σ 2 0.477 = Luther Setzer 1 NASA Pkwy E Stop NEM3, Kennedy Space Center, FL 32899
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