Show that the simple regression line of y against x

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Question: 1. Show that the simple regression line of y against x coincides with the simple regression line of x against y if and only if r = 1 (where r is the sample correlation coefficient between x and y).

2. In the regression model y1 = α + βx1 + µ if the sample mean of x¯ of x is zero, show the covt(α^, β^) = 0, where α^ and β^ are the least squares estimators of a and ~.

Reference no: EM131529988

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