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Consider the following three regression models (at the population level): Mo : y = BotE, M1 : y = Bo + B1x1 + $2x2 +

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Consider the following three regression models (at the population level): Mo : y = BotE, M1 : y = Bo + B1x1 + $2x2 + E, M2 : y = Bo + B1x1 + 2x2 + B3x] + BAX2 + B5x1x2 + E. We fit the three models to the same data with sample size n. For i = 0, 1, 2, let SSE(Mi) E R and A( M.) ERn denote the SSE and the fitted value vector of model Mi, respectively. The following information is given: . The sample size n = 15. . If(Mo) - A(M1) |2 =4 x SSE(M1). . The F-statistic for an F-test comparing models M, and M2 is F = 4. What is the R2 for model M2

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