# Question: you are hired by a danish distributor of consumer goods...

###### Question details

You are hired by a Danish distributor of consumer goods, Dicgø, to improve their forecasting capabilities. You are tasked with coming up with quarterly forecasts for an item that appears to have level, seasonality, and trend. While the company does have an existing Holt-Winter forecasting model, no one knows what the parameters (Alpha, Beta, or Gamma) are. You do have some information. For example, you know that historically, the demand in each quarter follows this distribution: - Q1 (January through March) = 60% of average quarterly demand - Q2 (April through June) = 80% of average quarterly demand - Q3 (July through September) = 140% of average quarterly demand - Q4 (October through December) = 120% of average quarterly demand. You just ran the forecast at the end of September (end of 2014Q3) and you have the following estimates: For level: \(\hat{a}_{2014Q3}\) = 1060 units For trend: \(\hat{b}_{2014Q3}\)= 41.3 units per quarter

Q1 ---What is your forecast for demand for 2014Q4? In other words, what is \(\hat{x}_{2014Q3, 2014Q4}\)? Enter your answer rounded to two decimal places. For example, if your answer is 12.3456, you should enter 12.35 in the box below.

Q2 --- Suppose the actual demand in 2014Q4 is 1050 units. What is the lowest possible value for your estimate for level, \(\hat{a}_{2014Q4}\)? Enter your answer rounded to one decimal place. For example, if your answer is 12.3456, you should enter 12.3 in the box below.

Q3 ---- The model was run at the end of 2014Q4. It provided you with the most recent estimates of each pattern. The estimate for level, \(\hat{a}_{2014Q4}\) was 1067.8. What is the value of alpha? Enter your answer rounded to two decimal places.

Q4 --- The model was run at the end of 2014Q4. The estimate for trend, \(\hat{b}_{2014Q4}\) was found to be 39.6. What is value of beta? Enter your answer rounded to two decimal places.

Q5---- The model was run at the end of 2014Q4. The estimate for seasonality, \(\hat{F}_{2014Q4}\) was found to be 1.189, before any normalization was done. What is the value of gamma? Enter your answer rounded to two decimal places.