Intervals (for the Mean Response and a Single Response) in Simple Linear Regression @jbstatistics
Intervals (for the Mean Response and a Single Response) in Simple Linear Regression  @jbstatistics
Uploaded December 2012 | Updated September 2026, 1 hour ago
I discuss confidence intervals for the mean of Y and prediction intervals for a single value of Y for a given value of X in simple linear regression. I discuss the form of the confidence interval for the mean and prediction interval for a single value and their standard errors.

The data used is estimated from a figure in:

Singer et al. (2004). Empathy for pain involves the affective but not sensory components of pain. Science, 303:1157--1162.
Intervals (for the Mean Response and a Single Response) in Simple Linear RegressionThe Sampling Distribution of the Sample VarianceOne-Sided Test or Two-Sided Test?Simple Linear Regression:  The Least Squares Regression Line (Old, fast version)The Expected Value and Variance of Discrete Random VariablesA One-Way ANOVA ExampleNormal Quantile-Quantile PlotsFinding the P-value in One-Way ANOVAZ Tests for One Mean: An ExampleDont watch this!  (A t test example where nearly everything I say is wrong)Inference for Two Means:  Introduction (Old, fast version)Finding the p-value in one-sample Z tests
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Intervals (for the Mean Response and a Single Response) in Simple Linear Regression

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