doc: remove MutableData

[sotagg]

Description

• Replace deprecated pm.MutableData references with pm.Data
• Fix docstring examples to use correct coords parameter

Related Issue

• Closes #
• Related to Make coords and data always mutable #7047

Checklist

• Checked that the pre-commit linting/style checks pass
• Included tests that prove the fix is effective or that the new feature works
• Added necessary documentation (docstrings and/or example notebooks)
• If you are a pro: each commit corresponds to a relevant logical change

Type of change

• New feature / enhancement
• Bug fix
• Documentation
• Maintenance
• Other (please specify):

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📚 Documentation preview 📚: https://pymc--7900.org.readthedocs.build/en/7900/

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[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 87.89%. Comparing base (c7222f0) to head (4aaf542).
⚠️ Report is 4 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #7900      +/-   ##
==========================================
- Coverage   91.47%   87.89%   -3.58%     
==========================================
  Files         116      116              
  Lines       18904    18939      +35     
==========================================
- Hits        17292    16647     -645     
- Misses       1612     2292     +680     

Files with missing lines	Coverage Δ
pymc/gp/hsgp_approx.py	88.39% <ø> (ø)
pymc/sampling/forward.py	96.75% <ø> (ø)

... and 23 files with indirect coverage changes

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• ❄️ Test Analytics: Detect flaky tests, report on failures, and find test suite problems.

[sotagg]

@twiecki
I had to force-push this branch since it was behind main. I'm not sure what caused the last CI run to fail because it seems unrelated to my changes.

[williambdean]

@sotagg , I've updated the branch. Let's see if it passes now

[ricardoV94]

Seems like a test was expecting a warning?

[williambdean]

Seems like a test was expecting a warning?

Seems unrelated

[ricardoV94]

Seems like a test was expecting a warning?

Seems unrelated

Ah it is probably picking on the new PyTensor and we remove numpy warnings. Can you remove the pytest.warns?