Question
Download Solution PDFयदि X पर Y का समाश्रयण गुणांक -8 है और X और Y के बीच सहसंबंध गुणांक - \(1\over 4\) है तो Y पर X का समाश्रयण गुणांक क्या होगा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
सहसंबंध का गुणांक \(\rm = r = \sqrt{(b_{yx}×b_{xy} ) }\)
जहाँ byx और bxy समाश्रयण गुणांक हैं या y पर x और x पर y समीकरणों की ढलानों को byx और bxy के रूप में दर्शाया गया है
गणना:
दिया गया byx = - 8
r = - \(1\over 4\)
हम जानते हैं कि, r = √(byx × bxy)
∴ - \(1\over 4\) = √(- 8 × bxy)
दोनों पक्षों का वर्ग करने पर हमें प्राप्त होता है,
\(1\over 16\) = -8 × bxy
∴ bxy = - \(1\over 128\)
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