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

Values of Two Regression Coefficients Between the Variables X and Y Are B Yx = − 0.4 and B Xy = - 2.025 Respectively. Obtain the Value of Correlation Coefficient. - Mathematics and Statistics

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प्रश्न

Values of two regression coefficients between the variables X and Y are `b_"yx" = - 0.4` and `b_"xy"` = - 2.025 respectively. Obtain the value of correlation coefficient. 

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उत्तर

Correlation coefficient is 

`r = ±sqrt(b_"yx".b_"xy")`

`r = ±sqrt(-2.025 xx - 0.4)`

`r = ±sqrt(0.81)`

⇒ r = -0.9    (∵ `b_"yx" and  b_"xy"` are negative)

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Regression Coefficient of X on Y and Y on X
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2013-2014 (March)

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