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Bring out the inconsistency in the following: bYX = 2.6 and bXY = 12.6

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प्रश्न

Bring out the inconsistency in the following:

bYX = 2.6 and bXY = `1/2.6`

योग
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उत्तर

Given, bYX = 2.6 and bXY = `1/2.6`

Here, bYX and bXY have the same signs.

Also, bYX > 1 and bXY < 1

Also, for consistent data, the signs of bYX and bXY are same and bYX > 1, bXY < 1

Here, bYX. bXY = 1

∴ The given data is consistent.

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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] Standard 12 Maharashtra State Board
अध्याय 3 Linear Regression
Exercise 3.2 | Q 5.4 | पृष्ठ ४७

संबंधित प्रश्न

From the data of 7 pairs of observations on X and Y, following results are obtained.

∑(xi - 70) = - 35,  ∑(yi - 60) = - 7,

∑(xi - 70)2 = 2989,    ∑(yi - 60)2 = 476, 

∑(xi - 70)(yi - 60) = 1064

[Given: `sqrt0.7884` = 0.8879]

Obtain

  1. The line of regression of Y on X.
  2. The line regression of X on Y.
  3. The correlation coefficient between X and Y.

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bYX + bXY = 1.30 and r = 0.75 


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Mean 85 90
S.D. 5 6

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4y − 15x + 500 = 0
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  X Y
Mean 50 140
Variance 150 165

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bxy and byx are ______


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If r = 0.5, σx = 3, `σ_"y"^2` = 16, then byx = ______


State whether the following statement is True or False:

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If byx > 1 then bxy is _______.


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