A Time Series Is Shown in the Table Below $\quad$

question 73

Essay

A time series is shown in the table below: $\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\text{Week}$
$\begin{array} { | l | c c c c | } \hline \text { Day } & 1 & 2 & 3 & 4 \\\hline \text { Monday } & 16 & 15 & 18 & 21 \\\text { Tuesday } & 22 & 21 & 20 & 25 \\\text { Wednesday } & 20 & 23 & 20 & 24 \\\text { Thursday } & 29 & 28 & 32 & 28 \\\text { Friday } & 35 & 31 & 29 & 36 \\\hline\end{array}$ a. Compute the five-day moving averages to remove the seasonal and random variation.
b. Calculate the seasonal (daily) indexes.
c. What do the daily indexes tell us?
d. Find the regression trend line.
e. Calculate the seasonal indexes, based on the regression trend line developed in (d).

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Definitions:

American Invasions

Military incursions by the United States into other nations, often controversial and with varied motives and outcomes.

Canada

A large country in North America known for its vast landscapes, multicultural society, and bilingual English-French heritage, operating as a parliamentary democracy and a constitutional monarchy.

War of 1812

A conflict fought between the United States and Britain from 1812 to 1815, largely over issues of trade restrictions and the impressment of American sailors.

Federalist Party

An early American political party advocating for a strong federal government, and prominent in the late 18th to early 19th centuries.