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 October if a weighted moving average with weights of 0.5, 0.3, and 0.2 is used to model this data?
A)177.4
B)185.7
C)197.7
D)190.3

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 October if a weighted moving average with weights of 0.5, 0.3, and 0.2 is used to model this data? 
A)177.4
B)185.7
C)197.7
D)190.3

Quizplus · Accepted Answer

To find the forecast for October using a weighted moving average with weights of 0.5, 0.3, and 0.2, we need to multiply the demand for the past three months (July, August, and September) by their corresponding weights, sum the products, and divide by the sum of the weights (0.5 + 0.3 + 0.2 = 1). 
The calculation is: 
Forecast for October = (0.5 × 178) + (0.3 × 182) + (0.2 × 191) 
= 89 + 54.6 + 38.2 
= 181.8 
Therefore, the forecast for October is 185.7 (rounded to one decimal place). Choice B is the correct answer.

A Counseling Service Records the Number of Calls to Their