Chapter 7 Simple Linear Regression

The goal of linear regression is to describe the relationship between an independent variable X and a continuous dependent variable \(Y\) as a straight line.

Data for this type of model can arise in two ways;

  • Fixed-\(X\): values of \(X\) are preselected by investigator
  • Variable-\(X\): have random sample of \((X,Y)\) values

Both Regression and Correlation can be used for two main purposes:

  • Descriptive: Draw inferences regarding the relationship
  • Predictive: Predict value of \(Y\) for a given value of \(X\)

Simple Linear Regression is an example of a Bivariate analysis since there is only one covariate (explanatory variable) under consideration.