दो चरों X और Y के बीच सहसम्बन्ध गुणांक 0.6 पाया जाता है। X और Y के सभी प्रेक्षणों को रूपान्तरणों U = 2 - 3X और V = 4Y + 1 का प्रयोग करके रूपान्तरित किया जाता है। रूपान्तरित चरों U और V के बीच सहसम्बन्ध गुणांक क्या होगा?

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  1. -0.5
  2. +0.5
  3. -0.6
  4. +0.6 

Answer (Detailed Solution Below)

Option 3 : -0.6
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NDA 01/2025: English Subject Test
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संकल्पना:

  • सह-संबंध(a + bX, c +dY) = सह-संबंध (bX, dY), जहाँ, भिन्नता (X) = b और भिन्नता r (Y) = d
  • सह-संबंध(aX, bY) = (ab)सह-संबंध (X, Y) जहाँ a, b, c, और d स्थिरांक हैं। 

 

गणना:

दिया गया है:

 

 

अतः विकल्प (3) सही है। 

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