forecaster used the regression equation Qt = a + bt + c1D1 + c2D2 + c3D3 and quarterly sales data for 2004I–2021IV (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 VARIABLE PARAMETER ESTIMATE STANDARD
forecaster used the regression equation Qt = a + bt + c1D1 + c2D2 + c3D3 and quarterly sales data for 2004I–2021IV (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 VARIABLE PARAMETER ESTIMATE STANDARD
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
A forecaster used the regression equation
Qt = a + bt + c1D1 + c2D2 + c3D3
and quarterly sales data for 2004I–2021IV (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 | |
VARIABLE | PARAMETER ESTIMATE | STANDARD 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 |
What is the estimated intercept of the trend line in the second quarter?
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