Question: A forecaster used the regression equation Qt = a + bt + c1D1 + c2D2 + c3D3 and quarterly sales data for 2007I-2024IV (t =
A forecaster used the regression equation Qt = a + bt + c1D1 + c2D2 + c3D3 and quarterly sales data for 2007I-2024IV (t = 1, ...,72) 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. The table below provides the estimated regression for the Qt above. DEPENDENT VARIABLE: QT R-SQUARE F-RATIO P-VALUE ON F OBSERVATIONS: 72 0.8798 122.547 0.0001 VARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 36 12.54 2.87 0.0055 T 2.5 0.860 2.91 0.0049 D1 12.0 3.26 3.68 0.0005 D2 30.0 10.68 2.81 0.0066 D3 45.0 18.45 2.44 0.0174 The estimated QUARTERLY increase in sales is _________blank units. Multiple Choice 25 12 36 87
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