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

question 2

Multiple Choice

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 bt in the linear trend equation Ft₊k = at + btk while using double exponential smoothing?

• A)b_t = β(b_t - b_t₋₁)+ (1 -β)b_t₋₁
• B)b_t = αF_t₋₁ + (1 - α) (a_{t ₊₁} + b_t₊₁)
• C)b_t = αF_t + (1 - α) (a_{t ₋₁} + b_t₋₁)
• D)b_t = β(a_t - a_t₋₁)+ (1 -β)b_t₋₁

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Definitions:

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