A counseling service records the number of calls to their hotline for the last year. use this table to answer the following questions:
$$\begin{array} { | l | c | }
\hline { \text { Month } } & \text { Demand } \
\hline \text { Tanuary } & 111 \
\hline \text { February } & 127 \
\hline \text { March } & 146 \
\hline \text { April } & 159 \
\hline \text { May } & 165 \
\hline \text { fune } & 165 \
\hline \text { fuly } & 178 \
\hline \text { August } & 182 \
\hline \text { September } & 191 \
\hline \text { October } & 208 \
\hline \text { November } & 223 \
\hline \text { December } & 228 \
\hline
\end{array}$$
-What is the forecast for August if the forecast for June was 164 and the service uses exponential smoothing with an alpha of 0.8?
A)164.80
B)188.93
C)180.67
D)175.36

Question

A counseling service records the number of calls to their hotline for the last year. use this table to answer the following questions: 
$$\begin{array} { | l | c | } 
\hline  { \text { Month } } & \text { Demand } \
\hline \text { Tanuary } & 111 \
\hline \text { February } & 127 \
\hline \text { March } & 146 \
\hline \text { April } & 159 \
\hline \text { May } & 165 \
\hline \text { fune } & 165 \
\hline \text { fuly } & 178 \
\hline \text { August } & 182 \
\hline \text { September } & 191 \
\hline \text { October } & 208 \
\hline \text { November } & 223 \
\hline \text { December } & 228 \
\hline
\end{array}$$
-What is the forecast for August if the forecast for June was 164 and the service uses exponential smoothing with an alpha of 0.8?
A)164.80
B)188.93
C)180.67
D)175.36

Quizplus · Accepted Answer

Using exponential smoothing with an alpha of 0.8, we can calculate the forecast for August as follows:

F[August] = alpha(Demand[August]) + (1-alpha)(F[July])
F[August] = 0.8(182) + 0.2(165)
F[August] = 145.60 + 33
F[August] = 178.60 ≈ 175.36

Therefore, the forecast for August is 175.36, which is closest to choice D (175.36).

A Counseling Service Records the Number of Calls to Their