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State whether the following statement is True or False: If bxy < 0 and byx < 0 then ‘r’ is > 0 - Mathematics and Statistics

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Question

State whether the following statement is True or False: 

If bxy < 0 and byx < 0 then ‘r’ is > 0

Options

  • True

  • False

MCQ
True or False
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Solution

False

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

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x y `x - barx` `y - bary` `(x - barx)(y - bary)` `(x - barx)^2` `(y - bary)^2`
1 5 – 2 – 4 8 4 16
2 7 – 1 – 2 `square` 1 4
3 9 0 0 0 0 0
4 11 1 2 2 4 4
5 13 2 4 8 1 16
Total = 15 Total = 45 Total = 0 Total = 0 Total = `square` Total = 10 Total = 40

Mean of x = `barx = square`

Mean of y = `bary = square`

bxy = `square/square`

byx = `square/square`

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∴ byx = `square/square`

∴ r = `square`


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