A company that sells musical instruments has been in business for five years. During that time, sales of planos increased from 12 units in the first year to 77 units in the most recent year. The firm's owner wants to develop a forecast of plane sales for the coming year. The quarterly sales data follow Total Yearly Sales 12 Year 1 3 Quarter 1 Quarter 2 4 7 12 19 2 4 2 9 10 Quarter 3 1 4 5 7 13 Quarter 4 14 16 planos piance pianos pianos 22 35 29 35 50 (a) Use the following dummy variables to develop an estimated regression equation to account for any seasonal and linear trend effects in the data: 1 f quarter 1, 0 others: 1 if quarter 2.0 otherwise; and ₂-1 if quarter 3, 0 otherwise. (Lett-1 denete the time series value in quarter 1 of year 12 year 1 and -20 denote the time series value in quarter 4 of year 5. Round your numerical values to be decimal places) 8- (b) Compute the quarterly forecasts for next year (Round your answers to the nearest integer) forecast for quarter 1 forecast for quarter 2 forecast for quarter 3 forecast for quarter 4 - 2 denate the time series value in q

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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A statistical program is recommended.
A company that sells musical instruments has been in business for five years. During that time, sales of planos increased from 12 units in the first year to 77 units in the most recent year. The firm's owner wants to develop a forecast of plano sales for the coming year. The quarterly sales data follow.
Year Quarter 1 Quarter 2
1
2
3
4
7
19
2
4
forecast for quarter 3
forecast for quarter 4
2
9
Quarter 3 Quarter 4
1
4
3
7
13
14
22
35
Total Yearly
Sales
12
29
50
(*) Use the following dummy variables to develop an estimated regression equation to account for any seasonal and linear trend effects in the data: ₁ 1 if quarter 1, 0 otherwise; ₂-1 if quarter 2,0 otherwise; and x-1 if quarter 3, 0 otherwise. (Lett-1 denote the time series value in quarter 1 of year 1: 6-2 denote the time series value in quarter 2 of
and -20 denote the time series value in quarter 4 of year 5. Round your numerical values to two decimal places.)
-[
(b) Compute the quarterly forecasts for next year. (Round your answers to the nearest integer)
forecast for quarter 1
planos
forecast for quarter 2
planc
pianos
planos
Transcribed Image Text:A statistical program is recommended. A company that sells musical instruments has been in business for five years. During that time, sales of planos increased from 12 units in the first year to 77 units in the most recent year. The firm's owner wants to develop a forecast of plano sales for the coming year. The quarterly sales data follow. Year Quarter 1 Quarter 2 1 2 3 4 7 19 2 4 forecast for quarter 3 forecast for quarter 4 2 9 Quarter 3 Quarter 4 1 4 3 7 13 14 22 35 Total Yearly Sales 12 29 50 (*) Use the following dummy variables to develop an estimated regression equation to account for any seasonal and linear trend effects in the data: ₁ 1 if quarter 1, 0 otherwise; ₂-1 if quarter 2,0 otherwise; and x-1 if quarter 3, 0 otherwise. (Lett-1 denote the time series value in quarter 1 of year 1: 6-2 denote the time series value in quarter 2 of and -20 denote the time series value in quarter 4 of year 5. Round your numerical values to two decimal places.) -[ (b) Compute the quarterly forecasts for next year. (Round your answers to the nearest integer) forecast for quarter 1 planos forecast for quarter 2 planc pianos planos
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