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Let R^2 unrestricted and R^2 restricted be 0.4366 and 0.4149 respectively. The difference between the unrestricted and the restricted model is that you have imposed two restrictions.The number of regressors in the unrestricted model is 3. There are 420 observations. The F-statistic (under the assumption of homoskedasticity) in this case is:A) 4.61B) 8.01 C) 10.34 D) 7.71

1 Answer

3 votes

Answer:

Option (B) is correct.

Step-by-step explanation:

Given that,


R^(2)[tex/] unrestricted = 0.4366</p><p>[tex]R^(2)[tex/] restricted = 0.4149</p><p>Regressors in the unrestricted model = 3</p><p>No. of observations, n = 420</p><p>No. of independent variables, k = 3</p><p>Degree of freedom i.e no. of restrictions, q = 2</p><p><strong>F-Statistic:</strong></p><p>[tex]=(((R^(2) _(UR)-R^(2) _(R))/(q)))/((1-R^(2) _(UR))/((n-k-1)))


=(((0.4366-0.4149)/(2)) )/((1-0.4366)/((420-3-1)) )


=(0.01085)/(0.5634) * 416

= 8.01

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