The Formula S_t = Wy_t + (1 −W)St−₁ Is Used

question 14

Multiple Choice

The formula S_t = wy_t + (1 −w) St−₁ is used in time-series forecasting with exponential smoothing,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 forecasted value at time t + 1 where w = .4 is given by:

• A)Ft _{+ 1} = 0.4yt ₊₁ + 0.6St _{+ 1}
• B)Ft _{+ 1} = 0.4y_t + 0.6S_t
• C)Ft _{+ 1} = 0.4y_t + 0.6St− ₁
• D)Ft _{+ 1} = 0.4yt− ₁ + 0.6S_t

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Definitions:

Negatively Related

Negatively Related indicates a relationship where one variable increases while the other decreases, or vice versa, showing an inverse correlation.

Extrinsic Motivation

Motivation driven by external rewards such as money, praise, or avoiding negative consequences, rather than intrinsic satisfaction.

Intrinsic Motivation

A driving force that inspires individuals to engage in activities for their own sake, due to the personal satisfaction or pleasure they derive, rather than for external rewards.

Performance

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