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Q58Section I (Objective (Q1–Q80))58 of 80

Regression of YY on XX versus XX on YY

Using the ordinary least squares method, Student-I fits the model Y^i=α^0+α^1Xi\hat Y_i=\hat\alpha_0+\hat\alpha_1X_i (that is YY on XX) and Student-II fits the model X^i=β^0+β^1Yi\hat X_i=\hat\beta_0+\hat\beta_1Y_i (that is XX on YY) for the given data set (Yi,Xi);i=1,2,…,n(Y_i,X_i); i=1,2,\dots,n. Which one of the following pairs is a possible value of (α^1,β^1)(\hat\alpha_1,\hat\beta_1)?

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