Simple Linear Regression:  Checking Assumptions with Residual Plots @jbstatistics
Simple Linear Regression:  Checking Assumptions with Residual Plots  @jbstatistics
Uploaded December 2012 | Updated September 2026, 2 hours ago
An investigation of the normality, constant variance, and linearity assumptions of the simple linear regression model through residual plots.

The pain-empathy data 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.

The Janka hardness-density data is found in:

Hand, D.J., Daly, F. , Lunn, A.D., McConway, K., and Ostrowski, E., editors (1994). The Handbook of Small Data Sets. Chapman & Hall, London.

Original source: Williams, E.J. (1959). Regression Analysis. John Wiley & Sons, New York. Page 43, Table 3.7.
Simple Linear Regression:  Checking Assumptions with Residual PlotsAn Introduction to the Normal DistributionIntroduction to the Continuous Uniform DistributionAn Introduction to the Poisson DistributionBasic Probability: The Multiplication RuleThe Relationship Between Confidence Intervals and Hypothesis TestsAn Introduction to Inference for the Ratio of Two VariancesOne-Way ANOVA:  LSD confidence intervalst Tests for One Mean: An ExampleConfidence Intervals for One Mean:  Determining the Required Sample Size.The Sampling Distribution of the Ratio of Sample VariancesContinuous Probability Distributions: The Normal Distribution (STAT  I – Full Lecture)
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Simple Linear Regression: Checking Assumptions with Residual Plots

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