Simple Linear Regression: Continuous Predictor Example

In this lecture we walk through an example of simple linear regression with a continuous predictor. We first calculuate our regression coefficients and other statistics by hand, then use R to replicate the results and calculate confidence and prediction intervals.

A video for the Biostatistical Methods I (BIOS 6611) course in the Department of Biostatistics and Informatics at the University of Colorado-Anschutz Medical Campus taught by Dr. Alex Kaizer. Slides and additional material available at https://www.alexkaizer.com/bios_6611.

Table of Contents:

00:00 - Intro Song
00:18 - Welcome
00:49 - Motivating Example
02:40 - Simple Linear Regression by Hand
04:44 - Complete Interpretation: Point Estimate
05:39 - Complete Interpretation: Interval Est.
07:14 - Complete Interpretation: Decision
10:10 - Complete Interpretation: Uncertainty
11:04 - The Final Complete Interpretation
12:00 - Coefficient of Determination
14:03 - Simple Linear Regression in R
15:33 - Diagnostic Plots
17:24 - Confidence Interval
20:05 - Prediction Interval