DOC: fix EX03 in pandas.ExcelWriter (#56884)

Author: yuanx749

ci/code_checks.sh

@@ -82,7 +82,6 @@ if [[ -z "$CHECK" || "$CHECK" == "docstrings" ]]; then
         pandas.Timestamp.ceil \
         pandas.Timestamp.floor \
         pandas.Timestamp.round \
-        pandas.ExcelWriter \
         pandas.read_json \
         pandas.io.json.build_table_schema \
         pandas.io.formats.style.Styler.to_latex \

pandas/io/excel/_base.py

@@ -935,7 +935,7 @@ class ExcelWriter(Generic[_WorkbookT]):
       is installed otherwise `openpyxl <https://pypi.org/project/openpyxl/>`__
     * `odswriter <https://pypi.org/project/odswriter/>`__ for ods files
 
-    See ``DataFrame.to_excel`` for typical usage.
+    See :meth:`DataFrame.to_excel` for typical usage.
 
     The writer should be used as a context manager. Otherwise, call `close()` to save
     and close any opened file handles.
@@ -1031,7 +1031,7 @@ class ExcelWriter(Generic[_WorkbookT]):
     Here, the `if_sheet_exists` parameter can be set to replace a sheet if it
     already exists:
 
-    >>> with ExcelWriter(
+    >>> with pd.ExcelWriter(
     ...     "path_to_file.xlsx",
     ...     mode="a",
     ...     engine="openpyxl",
@@ -1042,7 +1042,8 @@ class ExcelWriter(Generic[_WorkbookT]):
     You can also write multiple DataFrames to a single sheet. Note that the
     ``if_sheet_exists`` parameter needs to be set to ``overlay``:
 
-    >>> with ExcelWriter("path_to_file.xlsx",
+    >>> with pd.ExcelWriter(
+    ...     "path_to_file.xlsx",
     ...     mode="a",
     ...     engine="openpyxl",
     ...     if_sheet_exists="overlay",