STAT 302 Chapter Notes - Chapter 1: Simple Linear Regression, Scatter Plot, Dependent And Independent Variables
Document Summary
Learning outcomes: appreciate the scientific context of fitting a simple linear regression, be familiar with the associated assumptions (purple box on page 31), be able to assess model assumptions via residual plots and normal plots. Consider a predictor x for a variable y. Simple linear regression model: review on model structure, estimation and interpretation of its parameters, assessment of its fit & use in predicting values for the response. Methods for dealing with relationships between 2 variables that aren"t linear. How much to pay for a used prosche car: price considers age, condition, and special features, relationship between x = mileage of a used porsche and y = price. B0 and b1 (intercept + slope) added: y = b0 + b1x + e. Scatterplot of price vs mileage shows a negative association between the two variables. Price = b0 + b1(mileage) + e.