A forecaster used the regression equation Qt= a + bt+c₁D₁ + 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 F-RATIOP-VALUE ON F OBSERVATIONS: 64 0.8768 107.982 0.0001 PARAMETER STANDARD VARIABLE ESTIMATE ERROR T-RATIO P-VALUE INTERCEPT 30.0 12.80 2.34 0.0224 T 1.5 0.70 2.14 0.0362 D1 10.0 3.00 3.33 0.0015 D2 25.0 7.20 3.47 0.0010 D3 40.0 15.80 2.53 0.0140 Using the estimation results given above, the predicted level of sales in 2022/// is units.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
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A forecaster used the regression equation
Qt = a + bt + C₁D1 + C2D2 + c3 D3
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
F-RATIO P-VALUE ON F
OBSERVATIONS:
64 0.8768
107.982 0.0001
PARAMETER
STANDARD
VARIABLE
ESTIMATE
ERROR T-RATIO P-VALUE
INTERCEPT
30.0
12.80
2.34
0.0224
T
1.5
0.70
2.14
0.0362
D1
10.0
3.00
3.33
0.0015
D2
25.0
7.20
3.47
0.0010
D3
40.0
15.80
2.53
0.0140
Using the estimation results given above, the predicted level of sales in 2022 /// is
Multiple Choice
O
141.5
156
172
173.5
None of the choices are correct.
O
O
units.
Transcribed Image Text:A forecaster used the regression equation Qt = a + bt + C₁D1 + C2D2 + c3 D3 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 F-RATIO P-VALUE ON F OBSERVATIONS: 64 0.8768 107.982 0.0001 PARAMETER STANDARD VARIABLE ESTIMATE ERROR T-RATIO P-VALUE INTERCEPT 30.0 12.80 2.34 0.0224 T 1.5 0.70 2.14 0.0362 D1 10.0 3.00 3.33 0.0015 D2 25.0 7.20 3.47 0.0010 D3 40.0 15.80 2.53 0.0140 Using the estimation results given above, the predicted level of sales in 2022 /// is Multiple Choice O 141.5 156 172 173.5 None of the choices are correct. O O units.
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