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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:

98.6ºF

Traditionally considered the average normal body temperature in degrees Fahrenheit for humans, although recent studies suggest variations.

Axillary Temperature

Body temperature taken from the armpit area, which is typically lower than the core body temperature measured orally or rectally.

Respirations Per Minute

A measure of the number of breaths a person takes within one minute, an important vital sign indicating respiratory health.

Blood Pressure

The force exerted by circulating blood upon the walls of blood vessels, measured to assess cardiovascular health.

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