Time-Series Forecasting with Exponential Smoothing Uses the Following Formula:` $S _ { t } = w y _ { t } + ( 1 - w ) S _ { t - 1 }$

Multiple Choice

Time-series forecasting with exponential smoothing uses the following formula:` $S _ { t } = w y _ { t } + ( 1 - w ) S _ { t - 1 }$ . where $S _ { t }$ is the exponentially smoothed time series at time t, $y _ { t }$ is the value of the time series at time t, and w is the smoothing constant. The forecast value at time t + 1, where w = 0.3, is given by:

A) F_t+1 = 0.3y_t+1 + 0.7S_t+1.
B) F_t+1 = 0.3y_t + 0.7S_t-1.
C) F_t+1 = 0.3y_t + 0.7S_t.
D) F_t+1 = 0.3y_t-1 + 0.7S_t.