Chapter: Linear Regression· Mathematics & Statistics (Commerce) Part 2

\(b_{xy}\) and \(b_{yx}\) are _____.

Q.4 (A)(iii) \(b_{xy}\) and \(b_{yx}\) are _____.

A. Independent of change of origin and scale

B. Independent of change of origin but not of scale

C. Independent of change of scale but not of origin

D. Affected by change of origin and scale

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Answer: (b) Independent of change of origin but not of scale

If \(u = \dfrac{x - a}{h}\) and \(v = \dfrac{y - b}{k}\), then \(b_{yx} = \dfrac{k}{h}b_{vu}\) and \(b_{xy} = \dfrac{h}{k}b_{uv}\). The origins \(a, b\) do not appear, but the scales \(h, k\) do.

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\(b_{xy}\) and \(b_{yx}\) are _____.

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