The ratios of "actuals to moving averages" (seasonal indexes)for a time series are presented in the following table as percentages. $$\begin{array} { | r | r | r | r | r | r | } \hline & 2008 & 2009 & 2010 & 2011 & 2012 \ \hline Q _ { 1 } & & 112.22 & 110.78 & 111.22 & 111.87 \ \hline Q _ { 2 } & & 100.65 & 108.68 & 103.78 & 101.95 \ \hline Q _ { 3 } & 97.76 & 99.08 & 97.68 & 97.61 & \ \hline Q _ { 4 } & 86.61 & 95.00 & 94.64 & 92.92 & \ \hline \end{array}$$ The final (completely adjusted)estimate of the seasonal index for Q₁ is __________. A)109.733 B)109.921 C)113.853 D)113.492 E)111.545

Question

Quizplus · Accepted Answer

The seasonal index for Q1 is calculated by averaging the given ratios for Q1 across the years 2009 to 2012. The calculation is as follows: $$(112.22 + 110.78 + 111.22 + 111.87) / 4 = 111.5475$$ Rounded to three decimal places, the final estimate is 111.545.

The Ratios of "Actuals to Moving Averages" (Seasonal Indexes)for a Time