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Q57Section B (Part B)57 of 120

R2R^2 and adjusted R2R^2 from the overall FF-statistic

Consider the multiple linear regression model yi=β0+β1x1i+⋯+β8x8i+ϵiy_i=\beta_0+\beta_1x_{1i}+\cdots+\beta_8x_{8i}+\epsilon_i, i=1,2,…,29i=1,2,\dots,29, where ϵ1,ϵ2,…,ϵ29\epsilon_1,\epsilon_2,\dots,\epsilon_{29} are independent and identically normal distributed with mean 00 and variance σ2\sigma^2. Suppose the model is fitted using the method of least squares. If the calculated value of the FF-statistic for testing the significance of regression is 2.502.50, then the possible values of R2R^2 and Adjusted R2R^2 are respectively

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