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Bring out the inconsistency in the following: bYX + bXY = 1.30 and r = 0.75 - Mathematics and Statistics

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प्रश्न

Bring out the inconsistency in the following:

bYX + bXY = 1.30 and r = 0.75 

योग

उत्तर

Given, bYX + bXY = 1.30, r = 0.75

Consider, `("b"_"YX" + "b"_"XY")/2 = 1.30/2 = 0.65`

∴ `("b"_"YX" + "b"_"XY")/2 < "r"`

But, for consistent data `|("b"_"YX" + "b"_"XY")/2|` >|r|

∴ Given data is inconsistent.

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Properties of Regression Coefficients
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Linear Regression - Exercise 3.2 [पृष्ठ ४७]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 3 Linear Regression
Exercise 3.2 | Q 5.1 | पृष्ठ ४७

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