第12章简单线性回归与相关 The Simple linear regression and correlation
第12章 简单线性回归与相关 The Simple Linear Regression and Correlation
本章概要 Types of Regression Models Determining the Simple Linear regression Equation Measures of Variation in Regression and Correlation Assumptions of regression and Correlation Residual Analysis and the Durbin-Watson Statistic Estimation of predicted values orrelation- Measuring the Strength of the Association
本章概要 • Types of Regression Models • Determining the Simple Linear Regression Equation • Measures of Variation in Regression and Correlation • Assumptions of Regression and Correlation • Residual Analysis and the Durbin-Watson Statistic • Estimation of Predicted Values • Correlation - Measuring the Strength of the Association
Purpose of regression and Correlation Analysis 回归与相关分析的目的 Regression analysis is Used Primarily for Prediction(回归主要用于预测) A statistical model used to predict the values of a dependent or response variable based on values of at least one independent or explanatory variable Correlation Analysis is Used to Measure Strength of the Association Between Numerical Variables(度量关系密切程度)
Purpose of Regression and Correlation Analysis 回归与相关分析的目的 • Regression Analysis is Used Primarily for Prediction（回归主要用于预测） A statistical model used to predict the values of a dependent or response variable based on values of at least one independent or explanatory variable Correlation Analysis is Used to Measure Strength of the Association Between Numerical Variables（度量关系密切程度）
The scatter diagram 散点图 Plot of all (Xi, y) pairs Y 60 40 20 0 + X 0 20 40 60
The Scatter Diagram 散点图 0 20 40 60 0 20 40 60 X Y Plot of all (Xi , Yi ) pairs
Types of Regression Models Positive Linear relationship Relationship not linear 3.5 2.5 3 5150 15 10 15 Negative Linear Relationship No Relationship 864202 76543 2 10
Types of Regression Models Positive Linear Relationship Negative Linear Relationship Relationship NOT Linear No Relationship