A Time Series Is Shown in the Table Below A Apply Exponential Smoothing with W = 0

question 72

Essay

A time series is shown in the table below: $$\begin{array} { | c c | } \hline \text { Period t } & \\\hline 1 & 40 \\2 & 45 \\3 & 44 \\4 & 47 \\5 & 48 \\6 & 50 \\7 & 52 \\8 & 51 \\9 & 48 \\10 & 47 \\\hline\end{array}$$ a. Apply exponential smoothing with w = 0.1 and w = 0.8 to help detect the components of the time series.
b. Draw the time series and the two sets of exponentially smoothed values. Does there appear to be a trend component in the time series?

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Definitions:

Wiki

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Wake Words

Specific words or phrases programmed in voice-activated systems to awaken and trigger the system to listen and respond to commands.

Voice-Training

The process of teaching or adapting speech recognition systems to better understand and respond to a user’s voice or the process of improving one's vocal skills.

Alexa Device

A brand of smart speakers developed by Amazon, designed to respond to voice commands and perform a variety of functions through the Alexa virtual assistant.