Answered: The quarterly sales data (number of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The quarterly sales data (number of copies sold) for a college textbook over the past three years follow.

Quarter	Year 1	Year 2	Year 3
1	1,690	1,810	1,850
2	950	910	1,110
3	2,635	2,910	2,930
4	2,510	2,360	2,625

(a) Use a regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. (Round your numerical values to the nearest integer.)

Qrt1 = 1 if quarter 1, 0 otherwise; Qrt2 = 1 if quarter 2, 0 otherwise; Qrt3 = 1 if quarter 3, 0 otherwise

_t =

(b)Using the equation developed in part (b), compute the quarterly forecasts for year 4. (Round your answers to the nearest ten.)

quarter 1 forecast:

quarter 2 forecast:

quarter 3 forecast:

quarter 4 forecast:

(c) Let t = 1 refer to the observation in Quarter 1 of Year 1; let t = 2 refer to the observation in Quarter 2 of Year 1;

and t = 12 to refer to the observation in Quarter 4 of Year 3. Using the dummy variables defined in part (b) and also using t, develop an equation to account for seasonal effects and any linear trend in the time series. (Round your numerical values to the nearest integer.)

_t =

Based upon the seasonal effects in the data and linear trend, compute the quarterly forecasts for year 4. (Round your answers to the nearest ten.)

quarter 1 forecast:

quarter 2 forecast:

quarter 3 forecast:

quarter 4 forecast:

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