code: def test_auto_col_name():
      # Test auto generated variable names when endog_names is None
      mod = Factor(
          None, 2, corr=np.eye(11), endog_names=None, smc=False
      )
      assert_array_equal(
          mod.endog_names,
          [
              "var00",
              "var01",
              "var02",
              "var03",
              "var04",
              "var05",
              "var06",
              "var07",
              "var08",
              "var09",
              "var10",
          ],
      )
  
file_path: statsmodels/statsmodels/multivariate/tests/test_factor.py
imports: import warnings
  from statsmodels.compat.pandas import PD_LT_1_4
  import os
  import numpy
  import pandas
  from statsmodels.multivariate.factor import Factor
  from numpy.testing import assert_equal, assert_array_almost_equal, assert_, assert_raises, assert_array_equal, assert_array_less, assert_allclose
  import pytest
label_desc: Use image node_id 1 for calling a global function with example usage: test_auto_col_name() without return types