Your instructor is giving you the problem in this form in the hopes that you will understand what you're doing. The idea is not to look for shortcuts but to work it out. For example, you have all the information in your previous post to calculate the regression coefficients. The variance of the residuals can be determined from the regression equation.
At 08:41 PM 12/11/00 GMT, you wrote:
>Hello. I was just wondering if there is some sort of shortcut procedure that
>you use when multiplying out matrices. My professor has mentioned something
>about lamba, lamba prime? I'm pretty much lost on the subject.
>Here's an example:
>We want to find (x'x)^-1 (x-prime x inverse)
>X is given as [1 24
> [1 22
> [1 15
> [1 15
> [1 17
> [1 18
> [1 24
> [1 22
> [1 10
> [1 21
> [1 15
> [1 20
>So, the transpose of x, x' is [1 1 1 1 1 1 1 1 1 1 1 1
> [24 22 15 15 17 18 24 22 10 21 15 20
>Now, I know I have to find the product of x and x'. My question is, is there a
>quicker way to do this then the standard way? It is quite time consuming to
>do, especially given the time constraints of an exam
>
>
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------------------------------------
Paul R. Swank, PhD.
Professor & Advanced Quantitative Methodologist
UT-Houston School of Nursing
Center for Nursing Research
Phone (713)500-2031
Fax (713) 500-2033
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- Matrices and Regression Analysis GatorAdam8
- Paul R Swank
