Linear Regression

Linear Regression

• Tests for significant relationship between 2 variables 
• Defines each variable
• Y- dependent variable
• X- independent variable
• Y varies in response to changes in X
• Defines functional mathematical relationship 
• y=bx+a
• Used for prediction 
• Relationship is a functional dependence
• The magnitude of a dependent variable (Y) is dependent on magnitude of an independent variable (X)
• Functional dependence is a mathematical relationship that can be quantified 
• Linear Regression equation used to describe the mathematical relationship 
• Y=a+bX or 
• Y=bx+a
• Y or dependent or criterion or response variable
• X independent or predictor or regressor variable 
• a= y-intercept (where x=0)
• b= slope or regression coefficient 
• Functional dependence is a mathematical relationship that can be quantified
• Postitive, negative, and no relationship