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Pull request overview
This PR expands the linear regression diagnostics chapter by adding a dedicated section on diagnosing violations of the independence assumption, with supporting mathematical details and a worked, reproducible example.
Changes:
- Added a new “Diagnostics for the independence assumption” subsection to the linear regression diagnostics content.
- Introduced two new subfiles: one for Durbin–Watson / Breusch–Godfrey math details and one for simulated AR(1) example diagnostics (plots + formal tests).
- Added four new bibliography entries to support the new discussion.
Reviewed changes
Copilot reviewed 4 out of 4 changed files in this pull request and generated 3 comments.
| File | Description |
|---|---|
references.bib |
Adds new reference entries for cited regression-independence diagnostics resources. |
_subfiles/Linear-models-overview/_sec_linreg_independence_math.qmd |
Adds formulas and hypothesis framing for Durbin–Watson and Breusch–Godfrey. |
_subfiles/Linear-models-overview/_sec_linreg_independence_examples.qmd |
Adds a simulated AR(1) example with residual-order plot, ACF/PACF, and lmtest outputs. |
_subfiles/Linear-models-overview/_sec_linreg_diagnostics.qmd |
Integrates the new independence diagnostics section and includes the new subfiles. |
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Added in 8143f6e: I included real-data examples alongside the simulated one, using Warning Firewall rules blocked me from connecting to one or more addresses (expand for details)I tried to connect to the following addresses, but was blocked by firewall rules:
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let's cite peer-reviewed articles or published textbooks, not wikipedia, as primary sources. we can refer readers to wikipedia for more information though.
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@copilot apply changes based on the comments in this thread |
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Updated in f6b5e5f: I replaced the new Wikipedia-based primary citations with textbook sources in the diagnostics section and removed the four new Warning Firewall rules blocked me from connecting to one or more addresses (expand for details)I tried to connect to the following addresses, but was blocked by firewall rules:
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Applied in d98ff69. I implemented the remaining linked review-thread edits: clarified the independence-assumption wording to refer to model errors (with residual-based diagnostics), and wrapped the ACF/PACF chunk in Warning Firewall rules blocked me from connecting to one or more addresses (expand for details)I tried to connect to the following addresses, but was blocked by firewall rules:
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Built to branch |
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@copilot use thm-variant divs |
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Implemented in 26c428f. I updated the independence-diagnostics additions to use thm-variant style fenced divs ( Warning Firewall rules blocked me from connecting to one or more addresses (expand for details)I tried to connect to the following addresses, but was blocked by firewall rules:
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