<SYSTEM_TASK:>
Solve the following problem using Python, implementing the functions described below, one line at a time
<END_TASK>
<USER_TASK:>
Description:
 def _compute_cross_validated_residual_here(self, xi, yi, smooth_here):
 """ Compute cross validated residual. This is the absolute residual from Eq. 9. in [1] """

        denom = (1.0 - 1.0 / self.window_size -
                 (xi - self._mean_x_in_window) ** 2 /
                 self._variance_in_window)
        if denom == 0.0:
            # can happen  with small data sets
            return 1.0
        return abs((yi - smooth_here) / denom)