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Choose the correct alternative: If the regression equation X on Y is 3x + 2y = 26, then bxy equal to

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Question

Choose the correct alternative:

If the regression equation X on Y is 3x + 2y = 26, then bxy equal to 

Options

  • `3/2`

  • `2/3`

  • `- 3/2`

  • ` - 2/3`

MCQ
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Solution

`- 2/3`

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Properties of Regression Coefficients
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Chapter 2.3: Linear Regression - Q.1

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x y xy x2 y2
6 9 54 36 81
2 11 22 4 121
10 5 50 100 25
4 8 32 16 64
8 7 `square` 64 49
Total = 30 Total = 40 Total = `square` Total = 220 Total = `square`

bxy = `square/square`

byx = `square/square`

∴ Regression equation of x on y is `square`

∴ Regression equation of y on x is `square`


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