Simple Linear Regression: The Least Squares Regression Line @jbstatistics
Simple Linear Regression: The Least Squares Regression Line  @jbstatistics
Uploaded December 2012 | Updated September 2026, 2 hours ago
An introduction to the least squares regression line in simple linear regression.

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: 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)Deriving a Confidence Interval for the Ratio of Two VariancesIntroduction to the Binomial Distribution (fast version)The Relationship Between the Binomial and Poisson DistributionsContinuous Probability Distributions: Intro + the Uniform (STAT  I – Full Lecture)Deriving the least squares estimators of the slope and intercept (simple linear regression)Inference for Two Means:  To pool or not to pool? (Old, fast version)One-Way ANOVA:  The FormulasInference for One Proportion: An Example
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Simple Linear Regression: The Least Squares Regression Line

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