Recall the general linear model given by Y = XB+ €, T where Y = (Y₁,...,Y) is the vector of responses, X is the n X p design matrix, ß = (Bo...., Bp-1) is the parameter vector and e = (₁, ..., en) is the error vector. Say that you have 145 observations and you want to write the simple linear model y = Bo + Bix +€ in matrix form. How many rows does X have? What is the value of the first element of X (ie X(1,1))?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 20RE
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Recall the general linear model given by
Y = XB + €,
where Y = (Y₁, ...,Y) is the vector of responses, X is the n X p design matrix, ß = (Bo, ..., Pp-1) is the
parameter vector and € = (₁, ..., en) is the error vector.
Say that you have 145 observations and you want to write the simple linear model
y = $o + fix +
in matrix form. How many rows does X have?
What is the value of the first element of X (ie X(1,1))?
Transcribed Image Text:Recall the general linear model given by Y = XB + €, where Y = (Y₁, ...,Y) is the vector of responses, X is the n X p design matrix, ß = (Bo, ..., Pp-1) is the parameter vector and € = (₁, ..., en) is the error vector. Say that you have 145 observations and you want to write the simple linear model y = $o + fix + in matrix form. How many rows does X have? What is the value of the first element of X (ie X(1,1))?
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