1. See the output of the following model, Y = a + B₁X₁ + B₂X₂ + B3X3 + ε Dependent Variable: Y, Method: Least Squares, Observations 569. Variable Coefficient Std. Error Constant X1 X2 X3 6.177290 -0.927764 0.990047 -0.003697 R-squared 0.842971 Mean dependent var 4.488665 Adjusted R-squared 0.842138 S.D. dependent var 1.171166 S.E. of regression 0.465327 Akaike info criterion 1:314851 Sum squared residual 122.3388 0.246211 0.071405 a) 82.429 b) 84.429 c) 86.421 d) None of the above 0.026410 0.018770 t-statistic 25.08946 -12.99305 37.48715 -0.196992 P-value 0.00000 0.00000 0.00000 0.08439 Schwarz criterion 1.345388 Log likelihood 370.0750 Hannan-Quinn 1.326766 F-statistic 1011.023 Durbin-Watson stat 2.027822 Prob(F-statistic) 0.000000 In the context of the above model, test the joint hypothesis P₁ = 3 = 0 using a 5% significance level. The RSS of the restricted model is 158.9015. What is the F-statistic?

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1. See the output of the following model,
Dependent Variable: Y, Method: Least Squares, Observations 569.
Variable
Coefficient
Std. Error
Constant
X1
X2
X3
Y = a + B₁X₁ + B₂X₂ + B3X3 + ε
6.177290
-0.927764
0.990047
-0.003697
R-squared 0.842971
Mean dependent var 4.488665
Adjusted R-squared 0.842138
S.D. dependent var 1.171166
S.E. of regression 0.465327
Akaike info criterion 1:314851
Sum squared residual 122.3388
a) 82.429
b) 84.429
c) 86.421
d) None of the above
0.246211
0.071405
0.026410
0.018770
t-statistic
25.08946
-12.99305
37.48715
-0.196992
P-value
0.00000
0.00000
0.00000
0.08439
Schwarz criterion 1.345388
Log likelihood 370.0750
Hannan-Quinn 1.326766
F-statistic 1011.023
Durbin-Watson stat 2.027822
Prob(F-statistic) 0.000000
In the context of the above model, test the joint hypothesis P₁ = B3 = 0 using a 5%
significance level. The RSS of the restricted model is 158.9015. What is the F-statistic?
Transcribed Image Text:1. See the output of the following model, Dependent Variable: Y, Method: Least Squares, Observations 569. Variable Coefficient Std. Error Constant X1 X2 X3 Y = a + B₁X₁ + B₂X₂ + B3X3 + ε 6.177290 -0.927764 0.990047 -0.003697 R-squared 0.842971 Mean dependent var 4.488665 Adjusted R-squared 0.842138 S.D. dependent var 1.171166 S.E. of regression 0.465327 Akaike info criterion 1:314851 Sum squared residual 122.3388 a) 82.429 b) 84.429 c) 86.421 d) None of the above 0.246211 0.071405 0.026410 0.018770 t-statistic 25.08946 -12.99305 37.48715 -0.196992 P-value 0.00000 0.00000 0.00000 0.08439 Schwarz criterion 1.345388 Log likelihood 370.0750 Hannan-Quinn 1.326766 F-statistic 1011.023 Durbin-Watson stat 2.027822 Prob(F-statistic) 0.000000 In the context of the above model, test the joint hypothesis P₁ = B3 = 0 using a 5% significance level. The RSS of the restricted model is 158.9015. What is the F-statistic?
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