Regression Analysis by Example, 4th Edition

CONTENTS

 Preface

1    Introduction

1.1   What Is Regression Analysis?

1.2   Publicly Available Data Sets

1.3   Selected Applications of Regression Analysis

1.3.1 Agricultural Sciences

1.3.2 Industrial and Labor Relations

1.3.3 History

1.3.4 Government

1.3.5 Environmental Sciences

1.4   Steps in Regression Analysis

1.4.1 Statement of the Problem

1.4.2 Selection of Potentially Relevant Variables

1.4.3 Data Collection

1.4.4 Model Specification

1.4.5 Method of Fitting

1.4.6 Model Fitting

1.4.7 Model Criticism and Selection

1.4.8 Objectives of Regression Analysis

1.5   Scope and Organization of the Book

Exercises

2    Simple Linear Regression

2.1   Introduction

2.2   Covariance and Correlation Coefficient

2.3   Example: Computer Repair Data

2.4   The Simple Linear Regression Model

2.5   Parameter Estimation

2.6   Tests of Hypotheses

2.7   Confidence Intervals

2.8   Predictions

2.9   Measuring the Quality of Fit

2.10 Regression Line Through the Origin

2.11 Trivial Regression Models

2.12 Bibliographic Notes

Exercises

3    Multiple Linear Regression

3.1   Introduction

3.2   Description of the Data and Model

3.3   Example: Supervisor Performance Data

3.4   Parameter Estimation

3.5   Interpretations of Regression Coefficients

3.6   Properties of the Least Squares Estimators

3.7   Multiple Correlation Coefficient

3.8   Inference for Individual Regression Coefficients

3.9   Tests of Hypotheses in a Linear Model

3.9.1 Testing All Regression Coefficients Equal to Zero

3.9.2 Testing a Subset ...