Simple Linear Regression

Dependent and Independent Variables

Linear Relationships

Prediction vs Explanation

Population Model

Sample Model

Error Term

Assumptions

Method of Least Squares

Regression Coefficients

Fitted Values

Residuals

lm() Function

Model Formula Syntax

Model Objects

Coefficient Interpretation

Intercept and Slope

Standard Errors

t-statistics

p-values

R-squared

Adjusted R-squared

Residual Standard Error

F-statistic

Confidence Intervals for Coefficients

Confidence Intervals for Mean Response

Prediction Intervals for Individual Observations

predict() Function

New Data Prediction

Extrapolation Concerns