Simple Linear Regression: Checking Assumptions with Residual Plots (Old, fast version) @jbstatistics
Simple Linear Regression: Checking Assumptions with Residual Plots (Old, fast version)  @jbstatistics
Uploaded April 2012 | Updated September 2026, 2 hours ago
I have an updated and revised (slower and otherwise improved) version of this video available at: youtube.com/watch?v=iMdtTCX2Q70

An investigation of the normality, constant variance, and linearity assumptions of the simple linear regression model through residual plots.

The data used in the pain-empathy example is estimated from a figure given in:

Singer et al. (2004). Empathy for pain involves the affective but not sensory components of pain. Science, 303:1157--1162.
Simple Linear Regression: Checking Assumptions with Residual Plots (Old, fast version)Statistical Significance versus Practical SignificanceThe Bernoulli Distribution: Deriving the Mean and VarianceConfidence Intervals for One Mean:  Sigma Not Known (t Method)Introduction to the Bernoulli DistributionAn Introduction to Conditional ProbabilityProof that if two events are independent, so are their complements.Proof that the Binomial Distribution tends to the Poisson DistributionSimple Linear Regression: The Least Squares Regression LineHypothesis testing: Rejection regions and p-values |Full lecture (Intro Stats)The Correlation Coefficient and Coefficient of Determination (Old, fast version)Finding Areas Using the Standard Normal Table (for tables that give the area between 0 and z)
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Simple Linear Regression: Checking Assumptions with Residual Plots (Old, fast version)

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