Exibir código-fonte para Modelos Lineares 2012

Esta é a página oficial da disciplina de Modelos Lineares do curso de graduação em Engenharia de Computação da UERJ, campus IPRJ , em Nova Friburgo, contendo material potencialmente útil ao publico geral e aos estudantes, professores e profissionais interessados em modelagem matematica.<br> 

Professora Dra Ariane Ferreira, Laboratório de Tecnologia da Informação –LTI do Instituto Politécnico do Rio de Janeiro – IPRJ. 

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Letivo 2012-2&nbsp;: Aulas: Inicio 05/11/2012-- final 13/03/2013</span> 

[[Image:Regress.gif]]<br> 



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= '''Informação sobre aulas'''<br>  =

*'''Instrutor:''' [http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4795210D0 prof. Ariane Ferreira] (Laboratório de Tecnologia da Informação –LTI do Instituto Politécnico do Rio de Janeiro – IPRJ.) 
*'''Horario das Aulas:''' <u>Terças-feiras </u>T3:14h20-15h10; T4:15h10-16h00; <u>Quintas-feiras </u>T1:12h30-13h20; T2:13h20-14h10. 
*'''Total de Aulas Teoricas:''' 20; Sala 211. 
*'''Total de Aulas de Laboratorio:''' 4, Lab&nbsp; Sala 305 
*
= '''Datas das Aulas de Laboratorio:'''&nbsp; dia 22/11/2012 não havera aula de laboratorio, havera aula normal =

*
= '''Aulas de laboratorio '''&nbsp;&nbsp; 24/01/2013; 31/01/2013  =

*<u>'''Atenção: Nas aulas de laboratorio a presença é obrigatoria'''</u>.<br> 
*<br>

'''<u>Não Havera Aulas &nbsp;</u>'''<span style="font-size:20.0pt;font-family:Arial; mso-ascii-font-family:Arial;mso-fareast-font-family:+mn-ea;mso-bidi-font-family: Arial;color:#C00000;mso-font-kerning:12.0pt;language:pt-BR;font-weight:bold">18/12/2012 e </span><span style="font-size:20.0pt;font-family:Arial; mso-ascii-font-family:Arial;mso-fareast-font-family:+mn-ea;mso-bidi-font-family: Arial;color:#C00000;mso-font-kerning:12.0pt;language:pt-BR;font-weight:bold">20</span><span style="font-size:20.0pt;font-family:Arial; mso-ascii-font-family:Arial;mso-fareast-font-family:+mn-ea;mso-bidi-font-family: Arial;color:#C00000;mso-font-kerning:12.0pt;language:pt-BR;font-weight:bold">/12/2012
</span> 



<span style="font-size:20.0pt;font-family:Arial; mso-ascii-font-family:Arial;mso-fareast-font-family:+mn-ea;mso-bidi-font-family: Arial;color:#C00000;mso-font-kerning:12.0pt;language:pt-BR;font-weight:bold">Não havera aula de laboratorio dia 11/12/2012</span><br> 

<br> 

=== '''Atenção: Novas datas das Aulas de Laboratorio:'''  ===

=== '''Aula lab1: 24/01/2013'''  ===

=== '''Aula lab2: 31/01/2013<br>'''  ===

=== <br>  ===

'''<br>''' 

<br>

= '''<span class="mw-headline">Software </span>'''  =

*Usaremos o [http://wiki.nosdigitais.teia.org.br/Scilab Scilab ]primariamente. [http://wiki.nosdigitais.teia.org.br/Scilab wiki.nosdigitais.teia.org.br/Scilab] 
*tollbox Casci:&nbsp; [http://wiki.nosdigitais.teia.org.br/CASCI_Toolbox wiki.nosdigitais.teia.org.br/CASCI_Toolbox]

<br> 

= <br> '''Tarefas'''  =

&nbsp; Aulas de laboratório&nbsp;: alunos agrupados em duplas para a realização das tarefas; 

Entrega de relatório das tarefas realizadasn nas aulas de laboratório da dupla na semana seguinte à realização da aula de laboratório. 

As tarefas devem ser formatadas com notacao matematica adequada, preferencialmente em [http://wiki.nosdigitais.teia.org.br/Latex Latex]. 

'''Somente serao aceitos arquivos eletronicos no formato PDF ou outro formato aberto como .odt''' 

Quando a tarefa involver qualquer programacao, o aluno devera enviar o codigo fonte. O codigo junto com a documentacao devera estar dentro de um unico diretorio comprimido com .zip ou tar, com o nome do aluno, disciplina e data. 



= '''<span class="mw-headline">Modelos Lineares (graduação)</span>'''<span class="mw-headline"> </span>  =

*Foco: Modelagem Matematica à partir de dados empiricos provenientes de processos (socio-econômicos, fisicos-quimicos-bilogicos e industriais).<br> 
*Modelos de Regressão Linear.



[[Imagem:MSEPLOT.jpg]]<br>

<br>

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<span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR"><span style="mso-list:Ignore">1.<span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><span lang="PT-BR" style="mso-ansi-language:PT-BR">Apresentação da disciplina e
introdução aos Modelos Lineares (ML)</span> 

<span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR"><span style="mso-list:Ignore">2.<span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><span lang="PT-BR" style="mso-ansi-language:PT-BR">Distribuição Normal Univariada</span> 

<span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR"><span style="mso-list:Ignore">3.<span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><span lang="PT-BR" style="mso-ansi-language:PT-BR">Testes de hip</span><span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR">ó</span><span lang="PT-BR" style="mso-ansi-language: PT-BR">teses – aderência à lei Normal</span> 

<span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR"><span style="mso-list:Ignore">4.<span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><span lang="PT-BR" style="mso-ansi-language:PT-BR">Regressão Linear Simples - RLS</span> 

<span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR"><span style="mso-list:Ignore">5.<span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><span lang="PT-BR" style="mso-ansi-language:PT-BR">Inferência e testes de hip</span><span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR">ó</span><span lang="PT-BR" style="mso-ansi-language: PT-BR">teses para RLS</span> 

<span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR"><span style="mso-list:Ignore">6.<span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><span lang="PT-BR" style="mso-ansi-language:PT-BR">Analise de res</span><span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR">í</span><span lang="PT-BR" style="mso-ansi-language: PT-BR">duos para RLS</span> 

<span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR"><span style="mso-list:Ignore">7.<span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><span lang="PT-BR" style="mso-ansi-language:PT-BR">Analise de ''outliers ''para RLS</span> 

<span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR"><span style="mso-list:Ignore">8.<span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><span lang="PT-BR" style="mso-ansi-language:PT-BR">Introdução à analise multivariada de
dados – pré-tratamentos de uma tabela de dados numéricos</span> 

<span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR"><span style="mso-list:Ignore">9.<span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><span lang="PT-BR" style="mso-ansi-language:PT-BR">Distribuição Normal Multivariada</span> 

<span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR"><span style="mso-list:Ignore">10.<span>&nbsp;&nbsp; </span></span></span><span lang="PT-BR" style="mso-ansi-language:PT-BR">Testes de hip</span><span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR">ó</span><span lang="PT-BR" style="mso-ansi-language: PT-BR">teses- aderência à lei normal multivariada</span> 

<span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR"><span style="mso-list:Ignore">11.<span>&nbsp;&nbsp; </span></span></span><span lang="PT-BR" style="mso-ansi-language:PT-BR">Regressão Linear Multipla - RLM</span> 

<span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR"><span style="mso-list:Ignore">12.<span>&nbsp;&nbsp; </span></span></span><span lang="PT-BR" style="mso-ansi-language:PT-BR">Inferência e testes de hip</span><span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR">ó</span><span lang="PT-BR" style="mso-ansi-language: PT-BR">teses para RLM</span> 

<span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR"><span style="mso-list:Ignore">13.<span>&nbsp;&nbsp; </span></span></span><span lang="PT-BR" style="mso-ansi-language:PT-BR">Analise de res</span><span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR">í</span><span lang="PT-BR" style="mso-ansi-language: PT-BR">duos para RLM</span> 

<span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR"><span style="mso-list:Ignore">14.<span>&nbsp;&nbsp; </span></span></span><span lang="PT-BR" style="mso-ansi-language:PT-BR">Analise de ''outliers ''para RLM</span> 

<span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR"><span style="mso-list:Ignore">15.<span>&nbsp;&nbsp; </span></span></span><span lang="PT-BR" style="mso-ansi-language:PT-BR">Validação de um modelo de regressão</span> 

<span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR"><span style="mso-list:Ignore">16.<span>&nbsp;&nbsp; </span></span></span><span lang="PT-BR" style="mso-ansi-language:PT-BR">Multicolinearidade</span> 

<span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR"><span style="mso-list:Ignore">17.<span>&nbsp;&nbsp; </span></span></span><span lang="PT-BR" style="mso-ansi-language:PT-BR">Seleção de vari</span><span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR">á</span><span lang="PT-BR" style="mso-ansi-language: PT-BR">veis<span style="mso-spacerun:yes">&nbsp; </span>para modelos lineares</span> 

<span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin; mso-ansi-language:PT-BR"><span style="mso-list:Ignore">18.<span>&nbsp;&nbsp; </span></span></span><span lang="PT-BR" style="mso-ansi-language:PT-BR">Modelos Polinomiais</span> <br> 

<br>

= <span class="mw-headline">'''Conteudos Adicionais'''</span>  =

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*<span lang="PT-BR" style="mso-ansi-language:PT-BR">Introdução ao Modelo Linear&nbsp;
</span>Generalizado (GENMOD/GLM)

*<span lang="PT-BR" style="mso-ansi-language:PT-BR">Conceitos b</span><span lang="PT-BR" style="mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin;mso-ansi-language: PT-BR">á</span><span lang="PT-BR" style="mso-ansi-language:PT-BR">sicos de&nbsp;
</span>Regressão Log<span lang="PT-BR" style="mso-bidi-font-family:Calibri; mso-bidi-theme-font:minor-latin;mso-ansi-language:PT-BR">í</span><span lang="PT-BR" style="mso-ansi-language:PT-BR">stica</span>

<br> 

== '''<span class="mw-headline">Bibliografia&nbsp;</span>'''  ==

<span class="editsection">[[http://wiki.nosdigitais.teia.org.br/index.php?title=Algebra_Linear_Numerica&action=edit&section=14 editar]]</span>&nbsp; 

[1] Neter, J., Wasserman, W., Kutner, M.H. Applied linear statistical models.<br>[2] Draper, N.R., Smith,H. Applied regression analysis. 2ed. New York: Wiley, 1981.<br>[3] Montgomery, D.; Runger,D.C. Applied Statistics and Probability for Engineers, 4 ed.J.Wiley<br>[4] Montgomery and Peck, Introduction to Linear Regression Analysis;<br>[5] Charnet, R. Analise de modelos de Regressão linear com aplicações. Ed. da Unicamp, 1999.<br>[6] Tenenhaus, M. Statistique Méthodes pour décrire, expliquer et prévoir, ed. Dunod.<br>[7] Seber, G.A.F., Linear Regression Analysis.<br>[8] Myers and Montgomery, Generalized Linear Models.<br> 

= Provas e Avaliaçoes  =

'''40% Nota: '''Entrega de relatórios com os exercícios de cada aula de laboratório (dupla).<br>'''60% Nota:''' Prova única com questões multipla escolha e exercícios sobre o conteudo total (exceto itens 19 e 20).<br><br> 

=== Datas:<br>  ===

<br>'''Prova Geral: '''26/02/2013<br>'''Recuperação PG:''' 05/03/2013<br><u>'''Substitui obrigatoriamente a nota da Prova Geral.'''</u><br> 

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= Lista email google groupes<br>  =

UERJ_EC_Modelos_Lineares 

= Arquivos das aulas =

Aula 1:[[http://wiki.nosdigitais.teia.org.br/images/1/17/ML_00.pdf [http://wiki.nosdigitais.teia.org.br/images/1/17/ML_00.pdf]]]

Aula 2: [[Imagem:ML 11.pdf]] 

Aula 3: [[Imagem:ML 22.pdf‎]]

Aulas 4 e 5: [[http://wiki.nosdigitais.teia.org.br/images/7/77/ML_33.pdf]]

Aula de RLS 1: [[http://wiki.nosdigitais.teia.org.br/images/a/a0/ML_44.pdf]]

Aula de RLS 2: [[Imagem:ML 55.pdf]]

Aula de RLS 3: [[Imagem:(régression simple.pdf]]

Apostila RLS com lista de exercicios: [[Imagem:RLS.pdf]]



Revisão de Probabilidade e Estatistica: Varaiveis aleatorias, esperança e variância: [[Imagem:MPE 12-bis.pdf]]

[[Category:Lab_Macambira]] [[Category:IPRJ]]