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

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?