यदि X पर Y की प्रतिक्रमण रेखा Y = 30 - 0.9X है और मानक विचलन Sx = 2 और Sy = 9 हैं, तो सहसंबंध गुणांक rxy का मान है:

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  1. -0.3
  2. -0.2
  3. 0.2
  4. 0.3

Answer (Detailed Solution Below)

Option 2 : -0.2
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गणना

X पर Y की प्रतिक्रमण रेखा Y = 30 - 0.9x है

⇒ Y - 30 = - 0.9x

X पर Y की प्रतिक्रमण समीकरण रेखा = y - y1 = r(sy/sx)(x - x1)

दोनों समीकरणों की तुलना करने पर, हमें प्राप्त

⇒ r(sy/sx) = -0.9

⇒ r(9/2) = -0.9

⇒  r = (-0/9 × 2)/9 = - 0.2

∴ सहसंबंध गुणांक rxy का मान -0.2 है।

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