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

The equations of the two lines of regression are 2x + 3y − 6 = 0 and 5x + 7y − 12 = 0. Find the value of the correlation coefficient (Given0.933=0.9667)

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प्रश्न

The equations of the two lines of regression are 2x + 3y − 6 = 0 and 5x + 7y − 12 = 0. Find the value of the correlation coefficient `("Given"  sqrt(0.933) = 0.9667)`

बेरीज
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उत्तर

r = `+-  sqrt("b"_(xy) * "b"_(yx))`

= `+-  sqrt((-7)/5 xx (-2)/3)`

= `+-  sqrt(0.933)`

= 0.9667

Since the values of bXY and bYX are negative,

r is also negative.

∴ r = – 0.9667

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Properties of Regression Coefficients
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2.3: Linear Regression - Q.4

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Find: 

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