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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

For bivariate data. x¯=53, y¯=28, byx = −1.2, bxy = −0.3. Find the correlation coefficient between x and y.

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प्रश्न

For bivariate data. `bar x = 53`, `bar y = 28`, byx = −1.2, bxy = −0.3. Find the correlation coefficient between x and y.

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उत्तर

Given:

`bar x = 53`,

`bar y = 28`,

byx = −1.2,

bxy = −0.3.

Correlation coefficient between x and y:

r = `+-sqrt("b"_"xy" * "b"_"yx")`

`= +- sqrt((-0.3)(-1.2))`

= `+- sqrt 0.36` 

= ± 0.6          ...[∵ byx and bxy are negative]

Since byx and bxy both are negative,

r is also negative.

∴ r = −0.6

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Properties of Regression Coefficients
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पाठ 3: Linear Regression - Exercise 3.2 [पृष्ठ ४७]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 3 Linear Regression
Exercise 3.2 | Q 1.1 | पृष्ठ ४७

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