Inference on the Slope (An Example) @jbstatistics

Inference on the Slope (An Example) @jbstatistics

Uploaded December 2012 | Updated September 2026, 2 hours ago

I work through an example of finding a confidence interval and carrying out a hypothesis test on the slope parameter.

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.

Inference on the Slope (An Example)

An Introduction to Discrete Random Variables and Discrete Probability Distributions

Hypothesis Tests on One Mean: Finding the Rejection Region in a Z test

An Introduction to Inference for a Proportion

Z Tests for One Mean: Introduction

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Deriving a Confidence Interval for a Variance (Assuming a Normally Distributed Population)

The Sampling Distribution of the Sample Mean

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An Introduction to the Binomial Distribution

Confidence Intervals for One Population Variance

Deriving the mean and variance of the least squares slope estimator in simple linear regression

Inference on the Slope (An Example)