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: от OBSERVATIONS: 64 VARIABLE INTERCEPT T D1 D2 D3 R-SQUARE 0.8768 PARAMETER ESTIMATE 30.0 1.5 10.0 25.0 40.0 F-RATIO P-VALUE ON F 107.982 0.0001 STANDARD ERROR 12.80 0.70 3.00 7.20 15.80 T-RATIO 2.34 2.14 3.33 3.47 2.53 P-VALUE 0.0224 0.0362 0.0015 0.0010 0.0140 At the 5 percent level of significance, is there a statistically significant trend in sales?

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A forecaster used the regression equation
Qt = a + bt+c₁D₁ + C2 D2 + 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
VARIABLE
INTERCEPT
T
D1
D2
D3
PARAMETER
ESTIMATE
30.0
1.5
10.0
25.0
40.0
STANDARD
ERROR
12.80
0.70
3.00
7.20
15.80
T-RATIO P-VALUE
2.34
0.0224
2.14
0.0362
3.33
0.0015
3.47
0.0010
2.53
0.0140
At the 5 percent level of significance, is there a statistically significant trend in sales?
Transcribed Image Text:A forecaster used the regression equation Qt = a + bt+c₁D₁ + C2 D2 + 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 VARIABLE INTERCEPT T D1 D2 D3 PARAMETER ESTIMATE 30.0 1.5 10.0 25.0 40.0 STANDARD ERROR 12.80 0.70 3.00 7.20 15.80 T-RATIO P-VALUE 2.34 0.0224 2.14 0.0362 3.33 0.0015 3.47 0.0010 2.53 0.0140 At the 5 percent level of significance, is there a statistically significant trend in sales?
O
O
O
No, because 1.5 < 2.66.
No, because 1.5 < 2.00.
No, because 2.14 < 2.66.
Yes, because 2.14 > 2.00.
None of the choices are correct.
Transcribed Image Text:O O O No, because 1.5 < 2.66. No, because 1.5 < 2.00. No, because 2.14 < 2.66. Yes, because 2.14 > 2.00. None of the choices are correct.
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