Question
Download Solution PDFx पर y का प्रतिगमन गुणांक (byx) ज्ञात कीजिए यदि x और y मानों के बीच सहसंबंध गुणांक 0.75 है और x और y का मानक विचलन क्रमशः 5 और 6.4 है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है
x पर y के बीच सहसंबंध गुणांक = 0.75
x और y का मानक विचलन = 5 और 6.4
सूत्र
सहसंबंध गुणांक ‘r’ = Cov(x,y)/SxSy
Cov(x,y) = x और y का सहप्रसरण
Sx = x का मानक विचलन
Sy = y का मानक विचलन
x पर y का सहसंबंध गुणांक = byx = Cov(x,y)/Sx2
गणना
0.75 = Cov(x,y)/5 × 6.4
⇒ Cov(x,y) = 0.75 × 5 × 6.4
⇒ Cov(x,y) = 24
⇒ byx = 24/52
∴ byx = 24/25
∴ x पर y का प्रतिगमन गुणांक 0.96 है।
Last updated on Jun 13, 2025
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