Question
Download Solution PDFमान लीजिए X पर Y के प्रतिगमन की रेखा द्वारा बनाया गया कोण है। यदि Y = 2σX और X और Y के बीच सहसंबंध गुणांक 0.3 है, तो मान θ बराबर होगा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है
σY = 2σX और X और Y के बीच सहसंबंध गुणांक = γ = 0.3
गणना
मान लीजिए LYX X पर Y के समाश्रयण रेखा है
मान लीजिए LYX द्वारा x-अक्ष θ के साथ बनाया गया कोण है।
∴ LYX द्वारा x-अक्ष द्वारा बनाए गए कोण की स्पर्शरेखा – अक्ष tan θ है
लेकिन x-अक्ष वाली किसी भी रेखा का ढाल – अक्ष tan θ है
⇒ Lyx का ढाल = byx
⇒ byx = tan θ
⇒ byx = γ(σy/σx)
⇒ tan θ = 0.3 × 2(σx/σx)
⇒ tan θ = 0.3 × 2
θ का मान tan-1(0.6) है∴
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