code: def test_invalid_formcast_index(index):
      tt = TimeTrend(order=4)
      with pytest.raises(
          ValueError, match="The number of values in forecast_"
      ):
          tt.out_of_sample(10, index, pd.RangeIndex(11))
  
imports: from statsmodels.compat.pandas import MONTH_END, PD_LT_1_0_0, QUARTER_END, YEAR_END, is_int_index
  from statsmodels.compat.pytest import pytest_warns
  from collections.abc import Hashable
  import numpy
  import pandas
  import pytest
  from statsmodels.tsa.deterministic import CalendarFourier, CalendarSeasonality, CalendarTimeTrend, DeterministicProcess, DeterministicTerm, Fourier, Seasonality, TimeTrend
label_desc: Use image node_id 15 for calling a global function with example usage: test_invalid_formcast_index(index) without return types