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Consider the Monthly Time Series Shown in the Table A Calculate the Values in the Exponentially Smoothed Series Using

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Essay

Consider the monthly time series shown in the table.  Month  t Y January 1185 February 2192 March 3189 April 4201 May 5195 June 6199 July 7206 August 8203 September 9208 October 10209 November 11218 December 12216\begin{array} { l | c | c } \hline \text { Month } & \text { t } & \mathrm { Y } \\\hline \text { January } & 1 & 185 \\\hline \text { February } & 2 & 192 \\\hline \text { March } & 3 & 189 \\\hline \text { April } & 4 & 201 \\\hline \text { May } & 5 & 195 \\\hline \text { June } & 6 & 199 \\\hline \text { July } & 7 & 206 \\\hline \text { August } & 8 & 203 \\\hline \text { September } & 9 & 208 \\\hline \text { October } & 10 & 209 \\\hline \text { November } & 11 & 218 \\\hline \text { December } & 12 & 216 \\\hline\end{array} a. Calculate the values in the exponentially smoothed series using w w=0.6w = 0.6 b. Graph the time series and the exponentially smoothed series on the same graph.


Definitions:

Folded Surfaces

Structures in biological systems that have been folded to increase their surface area, enhancing their capacity for processes such as absorption or secretion.

Microvilli

Tiny, finger-like protrusions on the surface of some epithelial cells that increase surface area for absorption and secretion.

Intercalated Disc

Specialized cell-cell junctions between cardiac muscle cells that facilitate the synchronized contraction of the heart.

Gap Junctions

Specialized intercellular connections that facilitate the direct transfer of ions and small molecules between the cytoplasms of adjacent cells.

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