Question
निम्नलिखित आँकड़ों के लिए पियर्सन के गुणन आघूर्ण सहसंबंध की गणना कीजिए।
| व्यक्ति | क | ख | ग | घ | ड | च | छ | ज | झ | ण |
|---|---|---|---|---|---|---|---|---|---|---|
| आँकड़ा क | 34 | 22 | 10 | 11 | 23 | 20 | 16 | 18 | 21 | 15 |
| आँकड़ा ख | 12 | 23 | 21 | 24 | 10 | 30 | 28 | 29 | 32 | 25 |
Answer :
Word Count : 556
पियर्सन का गुणनांक सहसंबंध (Pearson’s Product-Moment Correlation Coefficient) दो चर के बीच रैखिक संबंध को मापता है। इसे r से व्यक्त किया जाता है और इसकी सीमा −1 से +1 के बीच होती है। यदि दो चर पूर्णतः सकारात्मक सहसंबंधित हैं तो r = +1, यदि पूर्णतः नकारात्मक सहसंबंधित हैं तो r = −1, और यदि कोई सहसंबंध नहीं है तो r = 0। पियर्सन के सहसंबंध गुणांक की गणना के लिए यह सूत्र प्रयोग किया जाता है: $$ r = \frac{N \sum XY - \sum X \sum Y}{\sqrt{[N \sum X^2 - (\sum X)^2][N \sum Y^2 - (\sum Y)^2]}} $$ यहाँ, * X = आँकड़ा क * Y = आँकड़ा ख _________ _____ ______ _______ ______.
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पियर्सन का गुणनांक सहसंबंध (Pearson’s Product-Moment Correlation Coefficient) दो चर के बीच रैखिक संबंध को मापता है। इसे r से व्यक्त किया जाता है और इसकी सीमा −1 से +1 के बीच होती है। यदि दो चर पूर्णतः सकारात्मक सहसंबंधित हैं तो r = +1, यदि पूर्णतः नकारात्मक सहसंबंधित हैं तो r = −1, और यदि कोई सहसंबंध नहीं है तो r = 0। पियर्सन के सहसंबंध गुणांक की गणना के लिए यह सूत्र प्रयोग किया जाता है: $$ r = \frac{N \sum XY - \sum X \sum Y}{\sqrt{[N \sum X^2 - (\sum X)^2][N \sum Y^2 - (\sum Y)^2]}} $$ यहाँ, * X = आँकड़ा क * Y = आँकड़ा ख _________ _____ ______ _______ ______.
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