(x, y) पर एक द्विचर आँकड़ा समुच्चय के लिए, यदि माध्य, मानक विचलन और सहसंबंध गुणांक हैं

x̅ = 1.0, y̅ = 2.0, sx = 3.0, sy = 9.0, r = 0.8

तो x पर y का समाश्रयण रेखा है:

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SSC CGL Tier-II ( JSO ) 2016 Official Paper ( Held On : 2 Dec 2016 )
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  1. y = 1 + 2.4(x - 1)
  2. y = 2 + 0.27(x - 1)
  3. y = 2 + 2.4(x - 1)
  4. y = 1 + 0.27(x - 2)

Answer (Detailed Solution Below)

Option 3 : y = 2 + 2.4(x - 1)
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सूत्र

x पर y का का समाश्रयण रेखा इस प्रकार है

y - y̅ = r × σy(x - x̅)/σx

गणना

प्रश्न के अनुसार

y - 2 = 0.8 × 9(x - 1)/3

⇒ y - 2 = 2.4(x - 1)

∴ y = 2 + 2.4(x - 1)

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