Question
Download Solution PDFयदि x और y के बीच सहसंबंध गुणांक 0.5 है और x पर y का प्रतिगमन गुणांक 0.5 है, तो y पर x का प्रतिगमन गुणांक क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसही उत्तर 0.5 है।
Key Points
दिया गया है,
x और y (rxy) के बीच सहसंबंध गुणांक = 0.5
x (byx) पर y का प्रतिगमन गुणांक = 0.5
फिर, y (bxy) पर x का प्रतिगमन गुणांक = \({r^2 \over b_{yx}}\) = \({(0.5)^2 \over 0.5} = 0.5\)
Important Points
x और y (rxy) के बीच सहसंबंध गुणांक = \(\sqrt {{b_{xy}} × {b_{yx}}}\)
या rxy2 = bxy × byx
या bxy = \({r^2 \over b_{yx}}\)
इसलिए, y पर x के प्रतिगमन गुणांक का अभीष्ट मान 0.5 है।
Last updated on Jun 13, 2025
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