Question
Download Solution PDFयदि x पर y की प्रतिगमन रेखा 4y = 15 + 6x है, और x और y के बीच सहसंबंध का गुणांक 0.9 है, तो y पर x का प्रतिगमन गुणांक _______ के बराबर है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है
x पर y की प्रतिगमन रेखा
4y = 15 + 6x
y = 15/4 + (6/4)x
x और y के बीच सहसंबंध का गुणांक = ρxy = 0.9
सूत्र
यदि y पर x का प्रतिगमन गुणांक bxy हो, तब
ρxy = √(byx × bxy)
गणना
bxy = 6/4 = 1.5
⇒ 0.9 =√(1.5 × bxy)
⇒ bxy = (0.9 × 0.9)/1.5
⇒ bxy = 0.54
∴ y पर x का प्रतीगमन गुणांक 0.54 है।
Last updated on Jun 13, 2025
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