Simple Linear Regression Model Only one independent variable,X Relationship between X and Y is described by a linear function Changes in Y are related to changes in X
Simple Linear Regression Model Only one independent variable, X Relationship between X and Y is described by a linear function Changes in Y are related to changes in X
Types of Relationships Linear relationships Curvilinear relationships
Types of Relationships Y X Y X Y Y X X Linear relationships Curvilinear relationships
Types of Relationships Strong relationships Weak relationships
Types of Relationships Y X Y X Y Y X X Strong relationships Weak relationships
Types of Relationships No relationship 8988 X
Types of Relationships Y X Y X No relationship
The Linear Regression Model Population Random Population Slope Independent Error Y intercept Variable Coefficient term Dependent Variable Yi=Bo+BXi+ Linear component Random Error component The population regression model:
The Linear Regression Model i 0 1 i i Y β β X ε Linear component The population regression model: Population Y intercept Population Slope Coefficient Random Error term Dependent Variable Independent Variable Random Error component