Consider the following time series data. Quarter Year 1 Year 2 Year 3 1 3 5 6
Question:
Consider the following time series data.
Quarter | Year 1 | Year 2 | Year 3 |
---|---|---|---|
1 | 3 | 5 | 6 |
2 | 1 | 2 | 5 |
3 | 2 | 4 | 5 |
4 | 6 | 8 | 9 |
b)
Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. (Round your numerical values to three decimal places.)
x1 = 1 if quarter 1, 0 otherwise; x2 = 1 if quarter 2, 0 otherwise; x3 = 1 if quarter 3, 0 otherwise
ŷt =
(c)
Compute the quarterly forecasts for the next year based on the model you developed in part (b). (Round your answers to two decimal places.)
quarter 1 forecastquarter 2 forecastquarter 3 forecastquarter 4 forecast
(d)
Use a multiple regression model to develop an equation to account for trend and seasonal effects in the data. Use the dummy variables you developed in part (b) to capture seasonal effects and create a variable t such that
t = 1
for quarter 1 in year 1,
t = 2
for quarter 2 in year 1, …
t = 12
for quarter 4 in year 3. (Round your numerical values to three decimal places.)ŷt =
(e)
Compute the quarterly forecasts for the next year based on the model you developed in part (d). (Round your answers to two decimal places.)
quarter 1 forecastquarter
2 forecastquarter
3 forecastquarter
4 forecast
Essentials of Business Analytics
ISBN: 978-1285187273
1st edition
Authors: Jeffrey Camm, James Cochran, Michael Fry, Jeffrey Ohlmann, David Anderson, Dennis Sweeney, Thomas Williams