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:

Coercive Power

a form of power that is based on the ability to deliver punishments or impose penalties for noncompliance with expectations or directives.

Reward Power

The capability of an individual to offer positive incentives, such as promotions or bonuses, to influence others’ behaviors or attitudes.

Expert Power

The influence and authority someone has due to their specialized knowledge or expertise.

Coercive Power

A form of power that is based on the ability to deliver punishments or impose sanctions on others.