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))?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
icon
Related questions
Question
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))?
Expert Solution
steps

Step by step

Solved in 4 steps with 8 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt