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State whether the following statement is True or False: If u = x – a and v = y – b then bxy = buv

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Question

State whether the following statement is True or False: 

If u = x – a and v = y – b then bxy = buv 

Options

  • True

  • False

MCQ
True or False
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Solution

True

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Properties of Regression Coefficients
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Chapter 2.3: Linear Regression - Q.2

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If n = 5, Σx = Σy = 20, Σx2 = Σy2 = 90 , Σxy = 76 Find Covariance (x,y) 


Mean of x = 53

Mean of y = 28

Regression coefficient of y on x = – 1.2

Regression coefficient of x on y = – 0.3

a. r = `square`

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`y - square = square (50 - square)`

∴ y = `square`

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`x - square = square (25 - square)`

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`2 square -  5 bary + 60` = 0

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∴ byx = `square/square`

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For a bivariate data:

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Find: 

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  2. bxy
  3. Correlation coefficient between x and y.

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