Use the data given below to answer the following question(s) .
The table provided below gives the sales details of the number of android smart phones at an electronic retail store for the past 6 weeks.The time series appears to be relatively stable, without trend, seasonal, or cyclical effects.The value of k is set at 3.(Hint: Optimize α value.)
$\begin{array}{|c|c|}\hline \text { Week } & \text { Units sold } \\\hline 1 & 88 \\\hline 2 & 44 \\\hline 3 & 54 \\\hline 4 & 65 \\\hline 5 & 72 \\\hline 6 & 85 \\\hline\end{array}$
-What is the formula used to calculate the value of at in the linear trend equation Ft₊k = at + btk while using double exponential smoothing?

Question

Use the data given below to answer the following question(s) .
The table provided below gives the sales details of the number of android smart phones at an electronic retail store for the past 6 weeks.The time series appears to be relatively stable, without trend, seasonal, or cyclical effects.The value of k is set at 3.(Hint: Optimize α value.)

\begin{array}{|c|c|}\hline \text { Week } & \text { Units sold } \\\hline 1 & 88 \\\hline 2 & 44 \\\hline 3 & 54 \\\hline 4 & 65 \\\hline 5 & 72 \\\hline 6 & 85 \\\hline\end{array}

-What is the formula used to calculate the value of at in the linear trend equation Ft₊k = at + btk while using double exponential smoothing?

Quizplus · Accepted Answer

The formula for calculating the level component (at) in double exponential smoothing is at = αFt + (1 - α)(at₋₁ + bt₋₁), where α is the smoothing constant, Ft is the actual observation, at₋₁ is the previous level, and bt₋₁ is the previous trend.

Use the Data Given Below to Answer the Following Question(s)