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If X̄ = 30, Ȳ = 40, b_xy = – 0.2 and b_yx = – 0.6, then the regression equation of Y on X will be –

The regression equation of Y on X is \(Y - \bar{Y} = b_{yx}(X - \bar{X})\). Substituting \(\bar{X} = 30, \bar{Y} = 40, b_{yx} = -0.6\) gives \(Y - 40 = -0.6(X - 30) \implies…

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If X̄ = 30, Ȳ = 40, b_xy = – 0.2 and b_yx = – 0.6, then the regression equation of Y on X will be –

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The regression equation of Y on X is Y−Yˉ=byx(X−Xˉ)Y - \bar{Y} = b_{yx}(X - \bar{X}). Substituting Xˉ=30,Yˉ=40,byx=−0.6\bar{X} = 30, \bar{Y} = 40, b_{yx} = -0.6 gives Y−40=−0.6(X−30)  ⟹  Y=−0.6X+18+40=−0.6X+58Y - 40 = -0.6(X - 30) \implies Y = -0.6X + 18 + 40 = -0.6X + 58.

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