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Tabela de conteúdos

Detalhes da oferta da disciplina
Scripts, notas e documentos
Links úteis
Avaliações
Links de arquivos e dados disponibilizados pelos alunos
Discussão

CE-071: Análise de Regressão Linear

EXAME FINAL no dia 16/07, 19h00 no LABEST. Todo o conteúdo da disciplina. O aluno pode usar computador próprio.

Detalhes da oferta da disciplina

Professor: Walmes Marques Zeviani, (LEG: Laboratório de Estatística e Geoinformação)
Curso: Estatística.
Período: 2014/1.
Local: LABEST, LAB C.
Horário: Segunda, 20h45-22:00h e quarta 19:00-20:30h.
Atendimento: Segunda, 19:00-20:30h.

Scripts, notas e documentos

Apostilas e textos úteis: ce071_livros.zip (84 MB)

Links úteis

Cursos, dados e scripts sobre Regressão Linear

Regression Analysis by Example, by Chatterjee, Hadi and Price: scripts;
Regression Analysis by Example, by Chatterjee, Hadi and Price: dados em txt;
Applied Regression Analysis, by Fox
Applied Lin Stat Models, by Neter, Kutner, Nachtsheim, and Wasserman
Regression Examples: dados e scripts de análises em R e $A$;

Cartões de referência

Medidas de diagnóstico

Regressão com variáveis categóricas

Avaliações

Trabalho 1

Função para estimação de beta a partir de X e y. Implementar o método de estimação literal, decomposição de Cholesky e decomposição QR.
Função para calcular o quadro de análise de variância.
Função para tabela de estimativas com erro-padrão e IC.
Função para quadro de anova particionado.
Função para calcular o valor predito com IC.
Entregar o código impresso das funções programadas no dia 24/03/14.

## Estima o vetor de parâmetros \beta
mycoef <- function(X, y, method){
...
}
 
## Retorna o quadro de análise de variância corrigido para a média
myanova <- function(X, y){
...
}
 
## Retorna a tabela com erros padrões, t-valor, p-valor e IC para \betas
mycoeftable <- function(X, y, conf=0.95){
...
}
 
## Retorna o quadro de análise de variância particionado para X1
myanovapart <- function(X, y, X1){
...
}
 
## Retorna o valor predito com IC
mypredict <- function(x0, betas, vcov, conf){
...
}

Trabalho 2

Fazer estudo de simulação para estudar a distribuição amostral dos estimadores e das estatísticas do testes.
Verificar que $Graph$ , $Graph$ , e que $Graph$ têm distribuição Normal.
Verificar que $Graph$ e que têm distribuição F sob H0 que $Graph$ .
Estudar a distribuição da estatística F = QMReg/QMres e comparar com o F anterior.
Entregar código impresso com gráficos e tabelas que sobre os resultados solicitados no dia 24/03/14.

## Função que retorna estimativas de parâmetros e estatísticas sob uma
## amostra aleatória simulada ao ser executada.
mysimula <- function(X, beta, sigma, A, m=beta){
...
}
 
results <- replicate(10000, mysimula)

Trabalho 3

Programar funções para obter:
- Resíduos ordinários, padronizados e studentizados;
- Valores de alavancagem;
- Distância de Cook;
- DFfits, DFbetas;
As funções devem receber como argumentos as matrizes X e y e retornas as respectivas medidas;

Alavancagem

$Graph$

Resíduos crus

$Graph$

Resíduos padronizados (ou internamente studentizados)

$Graph$

Resíduos studentizados (ou externamente studentizados)

$Graph$

Distância de Cook

$Graph$

DFfits

$Graph$

DFbetas

$Graph$

Trabalho 4

Análise de dados por meio de regressão com presença de variáveis independentes categóricas;
Os dados e contexto são exercício do capítulo 6 do *Applied Linear Regression* 3.ed do Weisberg;
Fazer a análise dos dados fornecendo o contexto e objetivos do mesmo, declarar o modelo, correr análise dos resíduos, interpretar os resultados, fazer a predição com bandas de confiança;
Entregar *.zip o pdf, Rnw e arquivos acessórios;
Prazo de entrega: 12/05/2014 até às 23h59;

##-----------------------------------------------------------------------------
str(twins)     ## 6.4.  Eduardo.
str(BGSall)    ## 6.6.  Michele.
str(cathedral) ## 6.10. Paula.
str(salary)    ## 6.13. Cintia.
str(mile)      ## 6.18. Gustavo.
##-----------------------------------------------------------------------------

Links de arquivos e dados disponibilizados pelos alunos

Discussão

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Kim, 2022/11/28 13:34

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Michele Mottin, 2014/06/06 10:11

Arquivo em pdf da última avaliação.

http://www.datafilehost.com/d/2817fcc0

Michele Mottin, 2014/06/06 10:12

Alunas: Isadora, Michele e Renata

Paula Alessandra Zeizer Dimas, 2014/06/05 01:21

Dados e apresentação (Paula, Jessica e Wagner)

http://www.datafilehost.com/d/b19884e6

Eduardo Elias Ribeiro Junior, 2014/06/04 15:56

Slides utilizados no seminário. 03/06/2014 - Daniel; Eduardo; Gabriel

Eduardo Elias Ribeiro Junior, 2014/06/04 15:57

download dos slides em: http://www.datafilehost.com/d/220d8b44

Ana Flávia do Carmo Santos, 2014/06/02 21:48

Apresentação do Trabalho Final de Regressão Ana Flávia, Cintia e Damiane

http://www.datafilehost.com/d/75c6f4a8

Michele Mottin, 2014/05/26 22:34

Trabalho 6 - Isadora, Michele e Renata

http://www.datafilehost.com/d/de417215

gabriel, 2014/05/26 22:31

Trabalho Eduardo, Daniel , Gabriel http://www.datafilehost.com/d/30690446 http://www.datafilehost.com/d/f5b3addd

gabriel, 2014/05/26 22:32

trabalho 6

Ana Flávia do Carmo Santos, 2014/05/26 22:18

Trabalho 6 - Exercícios do capitulo 35 do livro Statistics for Environmental Engineers

Ana Flávia, Cintia e Damiane

http://www.datafilehost.com/d/28b2c412

Paula Alessandra Zeizer Dimas, 2014/05/26 21:37

Alunos: Jessica Inoue Paula Alessandra Zeizer Dimas Wagner Lopes do Nascimento TRABALHO 5: http://www.datafilehost.com/d/e130f4bb

Isadora Aparecida Sprengoski do Nascimento, 2014/05/12 22:02

Trabalho 5 - Exercıcio 6.6 do livro Applied Linear Regression - Isadora Nascimento, Michele Mottin e Renata Ferreira

http://www.datafilehost.com/d/7c6d34ce

Alexandre Doral Marques, 2014/05/12 21:10

Trabalho 4 http://www.datafilehost.com/d/106084c0

Ana Flávia do Carmo Santos, 2014/05/12 20:50

Trabalho 5 - Exercıcio 6.13 do livro Applied Linear Regression

Ana Flávia, Cintia e Damiane

http://www.datafilehost.com/d/1acbdc68

Eduardo Elias Ribeiro Junior , 2014/05/12 20:32

Trabalho 4. Exerccicio 6.4 data "twins"

http://www.datafilehost.com/d/f8756d1f

Paula Alessandra Zeizer, 2014/05/12 11:35

Trabalho 4 - parte 2 Alunos: Paula, Jessica, Wagner http://www.datafilehost.com/d/20fa4b01

Alexandre Doral Marques, 2014/04/17 01:17

TRABALHO 3

http://www.datafilehost.com/d/067d846b

Eduardo Elias Ribeiro Junior, 2014/04/16 23:28

Medidas de Influencia.

http://www.datafilehost.com/d/a99a7cfe

Ana Flávia do Carmo Santos, 2014/04/16 22:32

Trabalho 4 http://www.datafilehost.com/d/12da85d5

Isadora Aparecida Sprengoski do Nascimento, 2014/04/16 21:57

Trabalho 4 (baseado no trabalho 3) http://www.datafilehost.com/d/e41a9bd5

Wagner Lopes do Nascimento, 2014/04/16 21:24

Trabalho 3

http://www.datafilehost.com/d/ddc7e402

Michele Mottin, 2014/04/16 21:14

Trabalho 3 - Programar funções

http://www.datafilehost.com/d/9a419c25 arquivo R

http://www.datafilehost.com/d/6972c21e

Cintia Maestrelli Consulin, 2014/04/16 21:12

Trabalho 03 http://www.datafilehost.com/d/c13cab08

Daniel T. Jr, 2014/04/16 21:00

Trabalho sobre funções de medidas de influência. http://bit.ly/1iqRiob

Damiane Ferreira, 2014/04/16 20:54

Trabalho 3

http://www.datafilehost.com/d/9b1535ac

Paula Alessandra Zeizer Dimas, 2014/04/16 20:25

Trabalho 4 - http://www.datafilehost.com/d/2b2d3e53

Jessica Mitiko Inoue, 2014/04/16 20:21

Trabalho 04 - Analise de Regressao Linear http://www.datafilehost.com/d/a81681e1

Eduardo Elias Ribeiro Junior, 2014/04/03 02:08

Trabalho 3 - Regressão Linear. ex.: 12.76 Conjunto de dados EBI

http://www.datafilehost.com/d/97703512

Michele Mottin, 2014/04/03 00:33

Trabalho Regressão

http://www.datafilehost.com/d/fd640c63

Paula Alessandra Zeizer Dimas, 2014/04/02 23:18

http://www.datafilehost.com/d/e24acc98 http://www.datafilehost.com/d/049bbe0a

Renata Ferreira da Silva , 2014/04/02 22:40

Trabalho de Regressão 3

http://www.datafilehost.com/d/f9be4272

Alexandre Doral Marques 2, 2014/04/02 20:33

http://www.datafilehost.com/d/9877f6cb

Cintia Maestrelli Consulin, 2014/04/02 20:28

http://www.datafilehost.com/d/ff544e8d

Paula Alessandra Zeizer Dimas, 2014/04/02 20:20

Trabalho 3 - Regressão

Ana Flávia do Carmo Santos, 2014/04/02 20:19

Trabalho 3 - Análise de Regressão Linear http://www.datafilehost.com/d/a021e242

Gustavo Vinicius do Nascimento, 2014/04/02 19:37

Trabalho 2 - http://www.datafilehost.com/d/1834d01f

Alexandre Doral Marques, 2014/04/02 19:36

http://www.datafilehost.com/d/d02f2da6

Isadora Aparecida Sprengoski do Nascimento, 2014/04/02 19:01

Trabalho http://www.datafilehost.com/d/b393c124

Daniel T. Jr, 2014/04/02 16:33

Exercício 12.86

[http://bit.ly/1pNGbYC Download]

Damiane Ferreira, 2014/04/02 01:39

Trabalho 2 - Análise de Regressão

http://www.datafilehost.com/d/6d29a80a

http://www.datafilehost.com/d/5da1cb38

Damiane Ferreira, 2014/04/02 20:22

Trabalho com os dados em arquivo ZIP. http://www.datafilehost.com/d/fb9f01c7

Eduardo Elias Ribeiro Junior, 2014/03/29 18:31

Material não muito extenso mais útil para declaração de modelos no R, entre outros funcionalidades do R para regressão.

http://www.datafilehost.com/d/ae7eb389

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CE-071: Análise de Regressão Linear

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