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:

Grand Mean

The mean of means, calculated by taking the average of several group means.

Completely Randomized

A design in experiments where all subjects have an equal chance of being assigned to any group or treatment.

Factorial Design

An experimental strategy used to test the effect of two or more variables across multiple levels simultaneously.

Statistical Conclusions

Inferences or deductions made from statistical tests about the data or population parameters.