A forecaster used the regression equation Qt= a + bt+q₁D₁ + c2D2 + c3D3 and quarterly sales data for 2004/-2021/V(t = 1, ..., 64) for an appliance manufacturer to obtain the results shown below. Qis quarterly sales, and D₁, D₂ and D3 are dummy variables for quarters I, II, and III. DEPENDENT VARIABLE: QT R-SQUARE OBSERVATIONS: 64 0.8768 VARIABLE INTERCEPT T D1 D2 D3 F-RATIOP-VALUE ON F 10.0 25.0 40.0 107.982 0.0001 PARAMETER STANDARD ESTIMATE 30.0 1.5 ERROR T-RATIO 12.80 2.34 0.70 2.14 3.00 3.33 7.20 3.47 15.80 2.53 In any given year, quarterly sales tend to vary as follows: P-VALUE 0.0224 0.0362 0.0015 0.0010 0.0140

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter4A: Problems In Applying The Linear Regression Model
Section: Chapter Questions
Problem 2E
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A forecaster used the regression equation
Qt= a + bt+q₁D₁ + C2D2 + c3D3
and quarterly sales data for 2004/-2021/V (t = 1, ..., 64) for an appliance manufacturer to obtain the results shown below. Q is quarterly sales, and D1, D₂
and D3 are dummy variables for quarters I, II, and III.
DEPENDENT VARIABLE: QT R-SQUARE
OBSERVATIONS:
64 0.8768
VARIABLE
INTERCEPT
T
D1
D2
D3
F-RATIO P-VALUE ON F
107.982 0.0001
PARAMETER STANDARD
ESTIMATE
30.0
1.5
10.0
25.0
40.0
ERROR T-RATIO P-VALUE
2.34
0.0224
2.14
0.0362
3.33
0.0015
3.47
0.0010
2.53
0.0140
12.80
0.70
3.00
7.20
15.80
In any given year, quarterly sales tend to vary as follows:
Transcribed Image Text:A forecaster used the regression equation Qt= a + bt+q₁D₁ + C2D2 + c3D3 and quarterly sales data for 2004/-2021/V (t = 1, ..., 64) for an appliance manufacturer to obtain the results shown below. Q is quarterly sales, and D1, D₂ and D3 are dummy variables for quarters I, II, and III. DEPENDENT VARIABLE: QT R-SQUARE OBSERVATIONS: 64 0.8768 VARIABLE INTERCEPT T D1 D2 D3 F-RATIO P-VALUE ON F 107.982 0.0001 PARAMETER STANDARD ESTIMATE 30.0 1.5 10.0 25.0 40.0 ERROR T-RATIO P-VALUE 2.34 0.0224 2.14 0.0362 3.33 0.0015 3.47 0.0010 2.53 0.0140 12.80 0.70 3.00 7.20 15.80 In any given year, quarterly sales tend to vary as follows:
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