Question
Download Solution PDFयदि x = 3u + 1 और y = 4v + 2 है और u और v के बीच प्रतिगमन गुणांक 1.2 है, तो x और y के बीच प्रतिगमन गुणांक ज्ञात कीजिए?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF1 - दिया गया है
X = 3u + 1
Y = 4v + 2
u और v के बीच प्रतिगमन गुणांक = (buv) = 1.2
सूत्र
प्रतिगमन गुणांक मूल से स्वतंत्र होते हैं लेकिन पैमाने पर निर्भर करते हैं।
यदि x = 3u + 1 और y = 4v + 2 है
तब buv = (a/c) × bxy
गणना
प्रश्नानुसार
x = 3u + 1
⇒ u = x/3 – 1/3
इसी प्रकार
v = y/4 – 1/2
buv = (a/c) × bxy का उपयोग करने पर
⇒ 1.2 = (1/3)/(1/4)bxy
⇒ 1.2 = (4/3)bxy
⇒ bxy = 3 × 1.2/4
∴ x और y के बीच प्रतिगमन गुणांक 0.9 है।
Last updated on Jul 10, 2025
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