code: def test_residuals_vs_R(setup_model):
      model, params, results_R = setup_model
  
      yhat = model.smooth(params, return_raw=True)[0]
  
      residuals = model._residuals(yhat)
      assert_allclose(
          residuals, results_R["residuals"], rtol=1e-5, atol=1e-5
      )
  
imports: from statsmodels.compat.pandas import QUARTER_END
  from statsmodels.compat.platform import PLATFORM_LINUX32, PLATFORM_WIN
  from itertools import product
  import json
  import pathlib
  import numpy
  from numpy.testing import assert_allclose, assert_almost_equal
  import pandas
  import pytest
  import scipy.stats
  from statsmodels.tsa.exponential_smoothing.ets import ETSModel
  import statsmodels.tsa.holtwinters
  import statsmodels.tsa.statespace.exponential_smoothing
label_desc: Use image node_id 17 for calling a global function with example usage: test_residuals_vs_R(setup_model) without return types